Messages from 2008
These are the messages distributed to the Banach list during 2008.
From banach-bounces at math.okstate.edu Fri Jan 4 12:00:27 2008
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From: Dale Alspach <alspach at math.okstate.edu>
Subject: [Banach] Conference on Convex Geometry
Reply-To: koldobsk at math.missouri.edu
Dear Colleagues,
We would like to invite you to participate in the Conference on
Convex Geometry in Columbia, Missouri in March 2008. There will
be two mini-conferences - Classical Convex Geometry on March 21-23
and Asymptotic Convex Geometry on March 28-30.
Please see the conference homepage at
http://www.math.missouri.edu/calendar/FRG-08
which contains the list of speakers, accomodations and directions
to Columbia, Missouri.
Please take a minute to register at the website above.
Best regards,
Alex Koldobsky and Mark Rudelson
_______________________________________________
Banach mailing list
Banach at math.okstate.edu
http://hardy.math.okstate.edu/cgi-bin/mailman/listinfo/banach
From alspach at fourier.math.okstate.edu Wed Jan 16 10:38:31 2008
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id 545EFD0A4B; Wed, 16 Jan 2008 10:38:31 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Emanuel Milman
Message-Id: <20080116163831.545EFD0A4B at fourier.math.okstate.edu>
Date: Wed, 16 Jan 2008 10:38:31 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "On the role of convexity in
isoperimetry, spectral-gap and concentration" by Emanuel Milman.
Abstract: We show that for convex domains in Euclidean space, Cheeger's
isoperimetric inequality, Spectral-Gap of the Neumann Laplacian,
Exponential concentration of 1-Lipschitz functions, and the a-priori
weakest linear tail-decay of 1-Lipschitz functions, are all equivalent (to
within universal constants). This substantially extends previous results
of Maz'ya, Cheeger, Gromov--Milman, Buser and Ledoux. As an application,
we conclude the stability of the Spectral-Gap for convex domains under
convex perturbations which preserve volume (up to constants) and under
maps which are ``on-average'' Lipschitz. We also easily recover (and
extend) many previously known lower bounds, due to Payne--Weinberger,
Li--Yau, Kannan--Lov\'asz--Simonovits, Bobkov and Sodin, on the Cheeger
constant for convex domains. We also provide a new characterization
of the Cheeger constant, as one over the expectation of the distance
from the ``worst'' Borel set having half the measure of the convex
domain. As a by-product of our methods, we develop a coherent single
framework for passing between isoperimetric inequalities, Orlicz-Sobolev
functional inequalities and q-capacities, the latter being notions
introduced by Maz'ya and extended by Barthe--Cattiaux--Roberto. As
an application, we extend the known results due to the latter authors
about the stability of the isoperimetric profile under tensorization,
when there is no Central-Limit obstruction. A crucial ingredient to
our proof is a result from Riemannian Geometry on the concavity of the
isoperimetric profile. Our results extend to the more general setting
of Riemannian manifolds with density which satisfy the $CD(0,\infty)$
curvature-dimension condition of Bakry-\'Emery.
Archive classification: math.MG math.FA
Remarks: 70 pages, 1st version
The source file(s), Dingir120.eps: 7755 bytes
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0712.4092
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http://arXiv.org/abs/0712.4092
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From alspach at fourier.math.okstate.edu Fri Jan 18 08:24:42 2008
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id 5B414D09C3; Fri, 18 Jan 2008 08:24:42 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Heinz H. Bauschke, Xianfu Wang, Jane Ye, and Xiaoming Yuan
Message-Id: <20080118142442.5B414D09C3 at fourier.math.okstate.edu>
Date: Fri, 18 Jan 2008 08:24:42 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Bregman distances and Chebyshev
sets" by Heinz H. Bauschke, Xianfu Wang, Jane Ye, and Xiaoming Yuan.
Abstract: A closed set of a Euclidean space is said to be Chebyshev
if every point in the space has one and only one closest point in the
set. Although the situation is not settled in infinite-dimensional
Hilbert spaces, in 1932 Bunt showed that in Euclidean spaces a closed
set is Chebyshev if and only if the set is convex. In this paper, from
the more general perspective of Bregman distances, we show that if every
point in the space has a unique nearest point in a closed set, then the
set is convex. We provide two approaches: one is by nonsmooth analysis;
the other by maximal monotone operator theory. Subdifferentiability
properties of Bregman nearest distance functions are also given.
Archive classification: math.FA
Mathematics Subject Classification: Primary 41A65; Secondary 47H05, 49J52.
The source file(s), submitted.tex: 67922 bytes, is(are) stored in gzipped
form as 0712.4030.gz with size 19kb. The corresponding postcript file
has gzipped size 134kb.
Submitted from: heinz.bauschke at ubc.ca
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0712.4030
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http://arXiv.org/abs/0712.4030
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From banach-bounces at math.okstate.edu Thu Jan 17 21:59:11 2008
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From: "George A Anastassiou (ganastss)" <ganastss at memphis.edu>
To: anna <anna at eureka.vu.edu.au>, atnet <at-net-dl at uni-giessen.de>, banach
<banach at math.okstate.edu>, Dynamics <hsg at phy.duke.edu>, dynsys
<dynsys at listserv.unc.edu>, "George A Anastassiou (ganastss)"
<ganastss at memphis.edu>, nanet <na.digest at na-net.ornl.gov>, rgmia
<rgmia at lists.vu.edu.au>, rgmia-request <rgmia-request at lists.vu.edu.au>,
siam <helfrich at siam.org>, stochastic <bulletin at queue.Korea.ac.kr>
Date: Thu, 17 Jan 2008 12:40:52 -0600
Thread-Topic: AMAT08
Thread-Index: AchZOHzIncKDYRr1ScSBez4jXBUo9A==
Message-ID: <06CF1FBD4645F745B5A89221FF341DC324A6AE7D at itexbe7.uom.memphis.edu>
Subject: [Banach] AMAT08
DEAR COLLEAQUES HI!
CONFERENCE ANNOUNCEMENT:
"International Conference on Applied Mathematics and Approximation Theory
2008", October 11-13,2008, University of Memphis, Memphis, TN, USA.
Honoring 80th Birthday of P.L.Butzer (AMAT08).
Plenary Speakers:C.Bardaro, J.Bona, B.Berndt, F.Deutsch, K.Diethelm, S.Dragomir, J.Goldstein, M.Ismail, M.J.Lai, H.Mhaskar, J.Prestin, S.Samko, R.Stens, A.Zayed.
Organizer:George Anastassiou, http://www.msci.memphis.edu/AMAT2008/
PLEASE REGISTER-COME
THANKS
SINCERELY YOURS
George A. Anastassiou,Ph.D
DOCTOR HONORIS CAUSA
Professor of Mathematics
Department of Mathematical Sciences
The University of Memphis,Memphis,TN 38152,USA
Editor-In-Chief JoCAAA, JCAAM,JAFA ;World Sci.Publ.Book Series:
Concrete & Applicable Math.
Springer Consultant-Editor in computational math books
Birkhauser Consultant Editor in A.M.Sci.
CRC-A.M. Advisor
NOVA MATH books ADVISOR
ganastss at memphis.edu<mailto:ganastss at memphis.edu>
http://www.eudoxuspress.com
http://www.msci.memphis.edu/~ganastss/jocaaa
http://www.msci.memphis.edu/~ganastss/jcaam
http://www.msci.memphis.edu/~ganastss/jafa
tel:(INT 001)- 901-678-3144 office
901-751-3553 home
901-678-2482 secr.
Fax: 901-678-2480
Associate Editor in:
J.Communications in Applied Analysis,
Inter.J.Applied Math.,Inter.J.Diff.Eq.&Appl.,CUBO,
J.Advances in non-linear Variational Inequalities,
e-J.of Inequalities in Pure and Applied Math.,
Anals U.Oradea-Fasciola Mathematica,
Journal of Inequalities and Applications,
Inter.J.of Pure&Appl.Math.,MIA,
Inter.J.of Computational and Numerical Analysis with Appl.
President of World Soc.for study & promotion of Ancient Greek Mathematics
Honorary Editor Australian Journal of Mathematical Analysis and Appl.
Panamerican Mathematical Journal
Eudoxus Press,LLC Pres.,ETC.
_______________________________________________
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Banach at math.okstate.edu
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From alspach at fourier.math.okstate.edu Sun Jan 20 07:54:46 2008
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id 98662D0999; Sun, 20 Jan 2008 07:54:46 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Gestur Olafsson and Boris Rubin
Message-Id: <20080120135446.98662D0999 at fourier.math.okstate.edu>
Date: Sun, 20 Jan 2008 07:54:46 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Invariant functions on
Grassmannians" by Gestur Olafsson and Boris Rubin.
Abstract: It is known, that every function on the unit sphere in
$\bbr^n$, which is invariant under rotations about some coordinate axis,
is completely determined by a function of one variable. Similar results,
when invariance of a function reduces dimension of its actual argument,
hold for every compact symmetric space and can be obtained in the
framework of Lie-theoretic consideration. In the present
article, this phenomenon is given precise meaning for functions on the
Grassmann manifold $G_{n,i}$ of $i$-dimensional
subspaces of $\bbr^n$, which are invariant under orthogonal
transformations preserving complementary coordinate subspaces of
arbitrary fixed dimension.
The corresponding integral formulas are obtained. Our method relies on
bi-Stiefel decomposition and does not invoke Lie theory.
Archive classification: math.FA
Mathematics Subject Classification: 44A12; 52A38
Remarks: 11 pages
The source file(s), GOBR_8_arxiv.tex: 39436 bytes, is(are) stored in
gzipped form as 0801.0081.gz with size 14kb. The corresponding postcript
file has gzipped size 89kb.
Submitted from: borisr at math.lsu.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0801.0081
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http://arXiv.org/abs/0801.0081
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From alspach at fourier.math.okstate.edu Tue Jan 22 21:43:44 2008
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id 450DBD0A7E; Tue, 22 Jan 2008 21:43:44 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Sonja Cox and Mark Veraar
Message-Id: <20080123034344.450DBD0A7E at fourier.math.okstate.edu>
Date: Tue, 22 Jan 2008 21:43:44 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Some remarks on tangent martingale
difference sequences in $L^1$-spaces" by Sonja Cox and Mark Veraar.
Abstract: Let $X$ be a Banach space. Suppose that for all $p\in (1,
\infty)$ a constant $C_{p,X}$ depending only on $X$ and $p$ exists
such that for any two $X$-valued martingales $f$ and $g$ with tangent
martingale difference sequences one has \[\E\|f\|^p \leq C_{p,X}
\E\|g\|^p \ \ \ \ \ \ (*).\] This property is equivalent to the UMD
condition. In fact, it is still equivalent to the UMD condition if in
addition one demands that either $f$ or $g$ satisfy the so-called (CI)
condition. However, for some applications it suffices to assume that $(*)$
holds whenever $g$ satisfies the (CI) condition. We show that the class of
Banach spaces for which $(*)$ holds whenever only $g$ satisfies the (CI)
condition is more general than the class of UMD spaces, in particular
it includes the space $L^1$. We state several problems related to $(*)$
and other decoupling inequalities.
Archive classification: math.PR math.FA
Mathematics Subject Classification: 60B05; 46B09; 60G42
Citation: Electron. Commun. Probab. 12, 421-433, (2007)
The source file(s), tangent_arxiv.tex: 47306 bytes, is(are) stored in
gzipped form as 0801.0695.gz with size 13kb. The corresponding postcript
file has gzipped size 101kb.
Submitted from: mark at profsonline.nl
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0801.0695
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http://arXiv.org/abs/0801.0695
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From alspach at fourier.math.okstate.edu Tue Jan 22 21:48:39 2008
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id 5E4F8D0A7E; Tue, 22 Jan 2008 21:48:39 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Philippe Jaming, Mate Matolcsi, and Szilard Gy. Revesz
Message-Id: <20080123034839.5E4F8D0A7E at fourier.math.okstate.edu>
Date: Tue, 22 Jan 2008 21:48:39 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "On the extremal rays of the
cone of positive, positive definite functions" by Philippe Jaming,
Mate Matolcsi, and Szilard Gy. Revesz.
Abstract: The aim of this paper is to investigate the cone
of non-negative, radial, positive-definite functions in the set of
continuous functions on $\R^d$. Elements of this cone admit a Choquet
integral representation in terms of the extremals. The main feature of
this article is to characterize some large classes of such extremals. In
particular, we show that there many other extremals than the gaussians,
thus disproving a conjecture of G. Choquet and that no reasonable
conjecture can be made on the full set of extremals. The last feature of
this article is to show that many characterizations of positive definite
functions available in the literature are actually particular cases of
the Choquet integral representations we obtain.
Archive classification: math.CA math.FA math.PR
Mathematics Subject Classification: 42A82
The source file(s), domain.eps: 12230 bytes
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0801.0941
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http://arXiv.org/abs/0801.0941
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From alspach at fourier.math.okstate.edu Wed Feb 6 08:33:39 2008
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id 80BB6D0991; Wed, 6 Feb 2008 08:33:39 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Romain Tessera
Message-Id: <20080206143339.80BB6D0991 at fourier.math.okstate.edu>
Date: Wed, 6 Feb 2008 08:33:39 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Finding left inverses for classes
of operators on l^p(Z^d) with some decay conditions" by Romain Tessera.
Abstract: We study the left-invertibility of infinite matrices indexed
by metric spaces with polynomial growth. In particular, we consider
matrices with polynomial decay, indexed by discrete groups of polynomial
growth. Under different conditions on the rows and the columns, we
prove that being bounded-below in l^p for some p implies that there is
a left-inverse which is bounded in l^q, for all q between 1 and infinity.
Archive classification: math.FA
Mathematics Subject Classification: 47B38, 47B37
Remarks: 33 pages
The source file(s), thinop10.tex: 77101 bytes, is(are) stored in gzipped
form as 0801.1532.gz with size 23kb. The corresponding postcript file
has gzipped size 163kb.
Submitted from: tessera at phare.normalesup.org
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0801.1532
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http://arXiv.org/abs/0801.1532
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From alspach at fourier.math.okstate.edu Wed Feb 6 08:35:34 2008
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id EDA12D0991; Wed, 6 Feb 2008 08:35:33 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by V. Valov
Message-Id: <20080206143533.EDA12D0991 at fourier.math.okstate.edu>
Date: Wed, 6 Feb 2008 08:35:33 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Probability measures and Milyutin
maps between metric spaces" by V. Valov.
Abstract: We prove that the functor $\Hat{P}$ of Radon probability
measures transforms any open map between completely metrizable spaces
into a soft map. This result is applied to establish some properties of
Milyutin maps between completely metrizable space.
Archive classification: math.GN math.FA
Mathematics Subject Classification: 54C60(primary), 60B05(secondary)
Remarks: 14 pages
The source file(s), Probability2.tex: 46900 bytes, is(are) stored in
gzipped form as 0801.1721.gz with size 14kb. The corresponding postcript
file has gzipped size 101kb.
Submitted from: veskov at nipissingu.ca
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0801.1721
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http://arXiv.org/abs/0801.1721
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From alspach at fourier.math.okstate.edu Wed Feb 6 08:37:54 2008
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id 7185AD0991; Wed, 6 Feb 2008 08:37:54 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by G. Botelho, M. C. Matos and D. Pellegrino
Message-Id: <20080206143754.7185AD0991 at fourier.math.okstate.edu>
Date: Wed, 6 Feb 2008 08:37:54 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Lineability of summing sets of
homogeneous polynomials" by G. Botelho, M. C. Matos and D. Pellegrino.
Abstract: Given a continuous $n$-homogeneous polynomial $P\colon
E\longrightarrow F$ between Banach spaces and $1\leq q\leq p<\infty$,
in this paper we investigate some properties concerning lineability
and spaceability of the $(p;q)$-summing set of $P$, defined by
$S_{p;q}(P)=\{a\in E:P\mathrm{~is~}% (p;q)\mathrm{-summing~at~}a\}$.
Archive classification: math.FA
Mathematics Subject Classification: 46G25
Remarks: 15 pages
The source file(s), BotelhoMatosPellegrino.tex: 47676 bytes, is(are)
stored in gzipped form as 0801.1812.gz with size 14kb. The corresponding
postcript file has gzipped size 100kb.
Submitted from: dmpellegrino at gmail.com
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0801.1812
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http://arXiv.org/abs/0801.1812
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uget 0801.1812
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From alspach at fourier.math.okstate.edu Wed Feb 6 08:38:57 2008
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id 9BFF9D0991; Wed, 6 Feb 2008 08:38:57 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Marius Junge
Message-Id: <20080206143857.9BFF9D0991 at fourier.math.okstate.edu>
Date: Wed, 6 Feb 2008 08:38:57 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Noncommutative Riesz transforms
I-an algebraic approach" by Marius Junge.
Abstract: Riesz transforms on Rn or Riemanian manifolds are classical
examples of singular integrals. In this paper we consider Riesz transforms
associated to a semigroup Tt of completely positive trace preserving maps
on a finite von Neumann algebra. Given a generator A of the semigroup
we consider the square of the gradient
Gamma(x,y)=A(x^*y)-A(x^*)y-x^*A(y) We prove un upper bound
||\Gamma(x,x)^{1/2}\|_p \le c(p) || (-\Delta)^{1/2}x ||_p under suitable
assumptions. These estimates generalizes commutative results
by P.A. Meyer, Bakry, Emry, Gundy, Piser. Key tools are square function
inequalities obtained in joint work with C. Le Merdy and Q. Xu and
new algebraic relations. As an application we obtain new examples of
quantum metric spaces for discrete groups with the Haagerup property
and rapid decay.
Archive classification: math.OA math.FA
Mathematics Subject Classification: 46L25
The source file(s), mainfile2.tex: 192365 bytes, is(are) stored in gzipped
form as 0801.1873.gz with size 59kb. The corresponding postcript file
has gzipped size 283kb.
Submitted from: junge at math.uiuc.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0801.1873
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http://arXiv.org/abs/0801.1873
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From alspach at fourier.math.okstate.edu Wed Feb 6 08:49:46 2008
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To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Geraldo Botelho and Daniel Pellegrino
Message-Id: <20080206144946.7F4BFD0991 at fourier.math.okstate.edu>
Date: Wed, 6 Feb 2008 08:49:46 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Absolutely summing linear
operators into spaces with no finite cotype" by Geraldo Botelho and
Daniel Pellegrino.
Abstract: Given an infinite-dimensional Banach space $X$ and a Banach
space $Y$ with no finite cotype, we determine whether or not every
continuous linear operator from $X$ to $Y$ is absolutely $(q;p)$-summing
for almost all choices of $p$ and $q$, including the case $p=q$. If $X$
assumes its cotype, the problem is solved for all choices of $p$ and
$q$. Applications to the theory of dominated multilinear mappings are
also provided.
Archive classification: math.FA
Mathematics Subject Classification: 47B10
Remarks: 7 pages
The source file(s), Botelho-Pellegrino-BullPolish.tex: 22261 bytes,
is(are) stored in gzipped form as 0801.2051.gz with size 7kb. The
corresponding postcript file has gzipped size 74kb.
Submitted from: dmpellegrino at gmail.com
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0801.2051
or
http://arXiv.org/abs/0801.2051
or by email in unzipped form by transmitting an empty message with
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uget 0801.2051
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From alspach at fourier.math.okstate.edu Wed Feb 6 08:50:39 2008
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id BCCF3D0991; Wed, 6 Feb 2008 08:50:39 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Jarno Talponen
Message-Id: <20080206145039.BCCF3D0991 at fourier.math.okstate.edu>
Date: Wed, 6 Feb 2008 08:50:39 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Operators on C_{0}(L,X) whose
range does not contain c_{0}" by Jarno Talponen.
Abstract: This paper contains the following results: a) Suppose that
X is a non-trivial Banach space and L is a non-empty locally compact
Hausdorff space without any isolated points. Then each linear operator
T: C_{0}(L,X)\to C_{0}(L,X), whose range does not contain C_{00}
isomorphically, satisfies the Daugavet equality ||I+T||=1+||T||. b)
Let \Gamma be a non-empty set and X, Y be Banach spaces such that X is
reflexive and Y does not contain c_{0} isomorphically. Then any continuous
linear operator T: c_{0}(\Gamma,X)\to Y is weakly compact.
Archive classification: math.FA
Mathematics Subject Classification: 46B20; 46B28
The source file(s), dgvt_talponen.tex: 17582 bytes, is(are) stored in
gzipped form as 0801.2314.gz with size 6kb. The corresponding postcript
file has gzipped size 61kb.
Submitted from: talponen at cc.helsinki.fi
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0801.2314
or
http://arXiv.org/abs/0801.2314
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From alspach at fourier.math.okstate.edu Wed Feb 6 08:51:36 2008
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id 00948D0991; Wed, 6 Feb 2008 08:51:35 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Jarno Talponen
Message-Id: <20080206145136.00948D0991 at fourier.math.okstate.edu>
Date: Wed, 6 Feb 2008 08:51:35 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "A note on the class of super
reflexive almost transitive Banach spaces" by Jarno Talponen.
Abstract: The class J of simultaneously almost transitive, uniformly
convex and uniformly smooth Banach spaces is characterized in terms of
convex-transitivity and weak geometry of the norm.
Archive classification: math.FA
Mathematics Subject Classification: 46B04; 46B20
The source file(s), NoteJ.tex: 21992 bytes, is(are) stored in gzipped
form as 0801.2320.gz with size 8kb. The corresponding postcript file
has gzipped size 57kb.
Submitted from: talponen at cc.helsinki.fi
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0801.2320
or
http://arXiv.org/abs/0801.2320
or by email in unzipped form by transmitting an empty message with
subject line
uget 0801.2320
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to: math at arXiv.org.
From alspach at fourier.math.okstate.edu Tue Feb 19 09:25:17 2008
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id 1AFA4D09FA; Tue, 19 Feb 2008 09:25:17 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Yves Dutrieux Gilles Lancien
Message-Id: <20080219152517.1AFA4D09FA at fourier.math.okstate.edu>
Date: Tue, 19 Feb 2008 09:25:17 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Isometric embeddings of compact
spaces into Banach spaces" by Yves Dutrieux Gilles Lancien.
Abstract: We show the existence of a compact metric space $K$ such that
whenever $K$ embeds isometrically into a Banach space $Y$, then any
separable Banach space is linearly isometric to a subspace of $Y$. We
also address the following related question: if a Banach space $Y$
contains an isometric copy of the unit ball or of some special compact
subset of a separable Banach space $X$, does it necessarily contain a
subspace isometric to $X$? We answer positively this question when $X$
is a polyhedral finite-dimensional space, $c_0$ or $\ell_1$.
Archive classification: math.FA
Mathematics Subject Classification: 46B04; 46B20
Remarks: 8 pages
The source file(s), dutrieux_lancien.tex: 22590 bytes, is(are) stored in
gzipped form as 0801.2486.gz with size 8kb. The corresponding postcript
file has gzipped size 79kb.
Submitted from: gilles.lancien at univ-fcomte.fr
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0801.2486
or
http://arXiv.org/abs/0801.2486
or by email in unzipped form by transmitting an empty message with
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uget 0801.2486
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From alspach at fourier.math.okstate.edu Tue Feb 19 09:30:57 2008
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id 14A39D09FA; Tue, 19 Feb 2008 09:30:56 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Jesus Araujo and Juan J. Font
Message-Id: <20080219153057.14A39D09FA at fourier.math.okstate.edu>
Date: Tue, 19 Feb 2008 09:30:56 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Stability and instability of
weighted composition operators" by Jesus Araujo and Juan J. Font.
Abstract: Let $\epsilon >0$. A continuous linear operator
$T:C(X) \ra C(Y)$ is said to be {\em $\epsilon$-disjointness preserving}
if $\vc (Tf)(Tg)\vd_{\infty} \le \epsilon$, whenever $f,g\in C(X)$ satisfy
$\vc f\vd_{\infty} =\vc g\vd_{\infty} =1$ and $fg\equiv 0$. In this
paper we address basically two main questions:
1.- How close there must be a weighted composition operator to a given
$\epsilon$-disjointness preserving operator?
2.- How far can the set of weighted composition operators be from
a given $\epsilon$-disjointness preserving operator?
We address these two questions distinguishing among three cases: $X$
infinite, $X$ finite, and $Y$ a singleton ($\epsilon$-disjointness
preserving functionals).
We provide sharp stability and instability bounds for the three cases.
Archive classification: math.FA
Mathematics Subject Classification: Primary 47B38; Secondary 46J10, 47B33
Remarks: 37 pages, 7 figures. A beamer presentation at www.araujo.tk
The source file(s), ejemploy0d.eps: 10802 bytes stability86.tex: 91977
bytes total2gabove.eps: 20323 bytes total2i.eps: 20467 bytes w01c.eps:
9921 bytes w11d.eps: 12594 bytes w21d.eps: 12278 bytes z1d.eps: 12984
bytes, is(are) stored in gzipped form as 0801.2532.tar.gz with size
46kb. The corresponding postcript file has gzipped size 180kb.
Submitted from: araujoj at unican.es
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0801.2532
or
http://arXiv.org/abs/0801.2532
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From alspach at fourier.math.okstate.edu Tue Feb 19 09:32:56 2008
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id 9327AD09FA; Tue, 19 Feb 2008 09:32:56 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by O. Hirzallah, F. Kittaneh, and M. S. Moslehian
Message-Id: <20080219153256.9327AD09FA at fourier.math.okstate.edu>
Date: Tue, 19 Feb 2008 09:32:56 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Schatten p-norm inequalities
related to a characterization of inner product spaces" by O. Hirzallah,
F. Kittaneh, and M. S. Moslehian.
Abstract: Let $A_1, \cdots A_n$ be operators acting on a separable
complex Hilbert space such that $\sum_{i=1}^n A_i=0$. It is shown that
if $A_1, \cdots A_n$ belong to a Schatten $p$-class, for some $p>0$,
then \begin{equation*} 2^{p/2}n^{p-1} \sum_{i=1}^n \|A_i\|^p_p \leq
\sum_{i,j=1}^n\|A_i\pm A_j\|^p_p \end{equation*} for $0<p\leq 2$, and the
reverse inequality holds for $2\leq p<\infty$. Moreover, \begin{equation*}
\sum_{i,j=1}^n\|A_i\pm A_j\|^2_p \leq 2n^{2/p} \sum_{i=1}^n \|A_i\|^2_p
\end{equation*} for $0<p\leq 2$, and the reverse inequality holds for
$2\leq p<\infty$. These inequalities are related to a characterization
of inner product spaces due to E.R. Lorch.
Archive classification: math.OA math.FA
Mathematics Subject Classification: 46C15, 47A30, 47B10, 47B15
Remarks: 6 pages
The source file(s),
Schattenp-norminequalitiesrelatedtoacharacteriztionofinnerproductspaces.tex:
14968 bytes, is(are) stored in gzipped form as 0801.2726.gz with size
4kb. The corresponding postcript file has gzipped size 56kb.
Submitted from: moslehian at ferdowsi.um.ac.ir
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0801.2726
or
http://arXiv.org/abs/0801.2726
or by email in unzipped form by transmitting an empty message with
subject line
uget 0801.2726
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From alspach at fourier.math.okstate.edu Tue Feb 19 09:34:07 2008
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X-Original-To: alspach
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Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id EED7DD09FA; Tue, 19 Feb 2008 09:34:07 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by A. Ibort, P. Linares, and J. G. Llavona
Message-Id: <20080219153407.EED7DD09FA at fourier.math.okstate.edu>
Date: Tue, 19 Feb 2008 09:34:07 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Continuous multilinear functionals
on $C(K)$-spaces are integral" by A. Ibort, P. Linares, and J. G. Llavona.
Abstract: In this paper we prove the theorem stated on the title:
every continuous multilinear functional on $C(K)$-spaces is integral,
or what is the same any polymeasure defined on the product of Borelian
$\sigma$-algebras defined on compact sets can be extended to a bounded
Borel measure on the compact product space. We provide two different
proofs of the same result, each one stressing a different aspect of the
various implications of this fact. The first one, valid for compact
subsets of $\R^n$, is based on the classical multivariate theory of
moments and is a natural extension of the Hausdorff moment problem
to multilinear functionals. The second proof relies on a multilinear
extension of the decomposition theorem of linear functionals on its
positive and negative part which allows us prove a multilinear Riesz
Theorem as well. These arguments are valid for arbitrary Hausdorff
compact sets.
Archive classification: math.FA
Mathematics Subject Classification: 46G25
Remarks: 10 pages
The source file(s), Integralmultilinear.tex: 39365 bytes, is(are)
stored in gzipped form as 0801.2878.gz with size 13kb. The corresponding
postcript file has gzipped size 85kb.
Submitted from: plinares at mat.ucm.es
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0801.2878
or
http://arXiv.org/abs/0801.2878
or by email in unzipped form by transmitting an empty message with
subject line
uget 0801.2878
or in gzipped form by using subject line
get 0801.2878
to: math at arXiv.org.
From alspach at fourier.math.okstate.edu Tue Feb 19 09:35:55 2008
Return-Path: <alspach at fourier.math.okstate.edu>
X-Original-To: alspach
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Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id D7456D09FA; Tue, 19 Feb 2008 09:35:55 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Olivier Guedon, Shahar Mendelson, Alain Pajor, and Nicole Tomczak-Jaegermann
Message-Id: <20080219153555.D7456D09FA at fourier.math.okstate.edu>
Date: Tue, 19 Feb 2008 09:35:55 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Majorizing measures and
proportional subsets of bounded orthonormal systems" by Olivier Guedon,
Shahar Mendelson, Alain Pajor, and Nicole Tomczak-Jaegermann.
Abstract: In this article we prove that for any orthonormal system
$(\vphi_j)_{j=1}^n \subset L_2$ that is bounded in $L_{\infty}$, and any
$1 < k <n$, there exists a subset $I$ of cardinality greater than $n-k$
such that on $\spa\{\vphi_i\}_{i \in I}$, the $L_1$ norm and the $L_2$
norm are equivalent up to a factor $\mu (\log \mu)^{5/2}$, where $\mu =
\sqrt{n/k} \sqrt{\log k}$. The proof is based on a new estimate of the
supremum of an empirical process on the unit ball of a Banach space with
a good modulus of convexity, via the use of majorizing measures.
Archive classification: math.FA math.PR
The source file(s), arXiv.tex: 50357 bytes, is(are) stored in gzipped
form as 0801.3556.gz with size 16kb. The corresponding postcript file
has gzipped size 130kb.
Submitted from: alain.pajor at univ-mlv.fr
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0801.3556
or
http://arXiv.org/abs/0801.3556
or by email in unzipped form by transmitting an empty message with
subject line
uget 0801.3556
or in gzipped form by using subject line
get 0801.3556
to: math at arXiv.org.
From alspach at fourier.math.okstate.edu Tue Feb 19 09:32:56 2008
Return-Path: <alspach at fourier.math.okstate.edu>
X-Original-To: alspach
Delivered-To: alspach at fourier.math.okstate.edu
Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id 9327AD09FA; Tue, 19 Feb 2008 09:32:56 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by O. Hirzallah, F. Kittaneh, and M. S. Moslehian
Message-Id: <20080219153256.9327AD09FA at fourier.math.okstate.edu>
Date: Tue, 19 Feb 2008 09:32:56 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Schatten p-norm inequalities
related to a characterization of inner product spaces" by O. Hirzallah,
F. Kittaneh, and M. S. Moslehian.
Abstract: Let $A_1, \cdots A_n$ be operators acting on a separable
complex Hilbert space such that $\sum_{i=1}^n A_i=0$. It is shown that
if $A_1, \cdots A_n$ belong to a Schatten $p$-class, for some $p>0$,
then \begin{equation*} 2^{p/2}n^{p-1} \sum_{i=1}^n \|A_i\|^p_p \leq
\sum_{i,j=1}^n\|A_i\pm A_j\|^p_p \end{equation*} for $0<p\leq 2$, and the
reverse inequality holds for $2\leq p<\infty$. Moreover, \begin{equation*}
\sum_{i,j=1}^n\|A_i\pm A_j\|^2_p \leq 2n^{2/p} \sum_{i=1}^n \|A_i\|^2_p
\end{equation*} for $0<p\leq 2$, and the reverse inequality holds for
$2\leq p<\infty$. These inequalities are related to a characterization
of inner product spaces due to E.R. Lorch.
Archive classification: math.OA math.FA
Mathematics Subject Classification: 46C15, 47A30, 47B10, 47B15
Remarks: 6 pages
The source file(s),
Schattenp-norminequalitiesrelatedtoacharacteriztionofinnerproductspaces.tex:
14968 bytes, is(are) stored in gzipped form as 0801.2726.gz with size
4kb. The corresponding postcript file has gzipped size 56kb.
Submitted from: moslehian at ferdowsi.um.ac.ir
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0801.2726
or
http://arXiv.org/abs/0801.2726
or by email in unzipped form by transmitting an empty message with
subject line
uget 0801.2726
or in gzipped form by using subject line
get 0801.2726
to: math at arXiv.org.
From alspach at fourier.math.okstate.edu Tue Feb 19 09:34:07 2008
Return-Path: <alspach at fourier.math.okstate.edu>
X-Original-To: alspach
Delivered-To: alspach at fourier.math.okstate.edu
Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id EED7DD09FA; Tue, 19 Feb 2008 09:34:07 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by A. Ibort, P. Linares, and J. G. Llavona
Message-Id: <20080219153407.EED7DD09FA at fourier.math.okstate.edu>
Date: Tue, 19 Feb 2008 09:34:07 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Continuous multilinear functionals
on $C(K)$-spaces are integral" by A. Ibort, P. Linares, and J. G. Llavona.
Abstract: In this paper we prove the theorem stated on the title:
every continuous multilinear functional on $C(K)$-spaces is integral,
or what is the same any polymeasure defined on the product of Borelian
$\sigma$-algebras defined on compact sets can be extended to a bounded
Borel measure on the compact product space. We provide two different
proofs of the same result, each one stressing a different aspect of the
various implications of this fact. The first one, valid for compact
subsets of $\R^n$, is based on the classical multivariate theory of
moments and is a natural extension of the Hausdorff moment problem
to multilinear functionals. The second proof relies on a multilinear
extension of the decomposition theorem of linear functionals on its
positive and negative part which allows us prove a multilinear Riesz
Theorem as well. These arguments are valid for arbitrary Hausdorff
compact sets.
Archive classification: math.FA
Mathematics Subject Classification: 46G25
Remarks: 10 pages
The source file(s), Integralmultilinear.tex: 39365 bytes, is(are)
stored in gzipped form as 0801.2878.gz with size 13kb. The corresponding
postcript file has gzipped size 85kb.
Submitted from: plinares at mat.ucm.es
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0801.2878
or
http://arXiv.org/abs/0801.2878
or by email in unzipped form by transmitting an empty message with
subject line
uget 0801.2878
or in gzipped form by using subject line
get 0801.2878
to: math at arXiv.org.
From alspach at fourier.math.okstate.edu Tue Feb 19 09:35:55 2008
Return-Path: <alspach at fourier.math.okstate.edu>
X-Original-To: alspach
Delivered-To: alspach at fourier.math.okstate.edu
Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id D7456D09FA; Tue, 19 Feb 2008 09:35:55 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Olivier Guedon, Shahar Mendelson, Alain Pajor, and Nicole Tomczak-Jaegermann
Message-Id: <20080219153555.D7456D09FA at fourier.math.okstate.edu>
Date: Tue, 19 Feb 2008 09:35:55 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Majorizing measures and
proportional subsets of bounded orthonormal systems" by Olivier Guedon,
Shahar Mendelson, Alain Pajor, and Nicole Tomczak-Jaegermann.
Abstract: In this article we prove that for any orthonormal system
$(\vphi_j)_{j=1}^n \subset L_2$ that is bounded in $L_{\infty}$, and any
$1 < k <n$, there exists a subset $I$ of cardinality greater than $n-k$
such that on $\spa\{\vphi_i\}_{i \in I}$, the $L_1$ norm and the $L_2$
norm are equivalent up to a factor $\mu (\log \mu)^{5/2}$, where $\mu =
\sqrt{n/k} \sqrt{\log k}$. The proof is based on a new estimate of the
supremum of an empirical process on the unit ball of a Banach space with
a good modulus of convexity, via the use of majorizing measures.
Archive classification: math.FA math.PR
The source file(s), arXiv.tex: 50357 bytes, is(are) stored in gzipped
form as 0801.3556.gz with size 16kb. The corresponding postcript file
has gzipped size 130kb.
Submitted from: alain.pajor at univ-mlv.fr
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0801.3556
or
http://arXiv.org/abs/0801.3556
or by email in unzipped form by transmitting an empty message with
subject line
uget 0801.3556
or in gzipped form by using subject line
get 0801.3556
to: math at arXiv.org.
From banach-bounces at math.okstate.edu Tue Jan 29 10:23:24 2008
Return-Path: <banach-bounces at math.okstate.edu>
Message-Id: <a06230900c3c4f77899e0 at [129.22.117.91]>
Date: Tue, 29 Jan 2008 10:40:53 -0500
To: banach at math.okstate.edu
From: "Stanislaw J. Szarek" <szarek at cwru.edu>
Subject: [Banach] Postdoctoral position at Case Western Reserve University
Department of Mathematics at Case Western Reserve University
invites applications for a post-doctoral position starting in the
fall of 2008. The position is funded by the NSF Focused Research
Group grant "Collaborative Research: Fourier analytic and
probabilistic methods in geometric functional analysis and convexity"
(see http://www.math.ucdavis.edu/~geofunction).
We seek applicants in the area of functional analysis, convexity
theory and related high-dimensional phenomena, the direction that
recently has been often referred to as ``asymptotic geometric
analysis" and of which members of the Department are internationally
recognized leaders. See http://www.cwru.edu/artsci/math/szarek/ and
http://www.cwru.edu/artsci/math/werner/ for examples of recent
research directions. The starting date of the appointment is
somewhat flexible, as is the profile: it may involve either 100%
effort commitment to the grant (no teaching duties), or an effort
split between the grant and teaching (see
http://www.case.edu/artsci/math/employment.htm under "Other
Searches: Mathematics: Lecturer"). The appointment is initially
budgeted for one year, but longer durations under the split effort
scenario may be considered.
Applicants should submit a letter of application, AMS cover sheet,
CV, and have three letters of evaluation sent, preferably by email to
math-faculty-position at cwru.edu, with copies to szarek at cwru.edu and
elisabeth.werner at case.edu. Applications received by February 15,
2008 will receive full consideration; applications will be accepted
until the position is filled.
Case is an integral part of one of the major research medical
complexes in the country. It also has a major presence in various
science and engineering disciplines. Geographically, it is located
on the eastern edge of Cleveland, in northeast Ohio, adjacent to
University Circle, home to the Cleveland Symphony Orchestra, the
Cleveland Museum of Art, and many other cultural institutions. There
is a wide variety of housing, schooling, and other amenities nearby.
Case Western Reserve University is committed to diversity and is
an affirmative action, equal opportunity employer. Applications from
women or minorities are especially encouraged.
_______________________________________________
Banach mailing list
Banach at math.okstate.edu
http://hardy.math.okstate.edu/cgi-bin/mailman/listinfo/banach
From alspach at fourier.math.okstate.edu Tue Feb 19 10:06:02 2008
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id 8AB42D09FA; Tue, 19 Feb 2008 10:06:02 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Gilles Pisier
Message-Id: <20080219160602.8AB42D09FA at fourier.math.okstate.edu>
Date: Tue, 19 Feb 2008 10:06:02 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Complex interpolation between
Hilbert, Banach and operator spaces" by Gilles Pisier.
Abstract: Motivated by a question of Vincent Lafforgue, we study
the Banach spaces $X$ satisfying the following property:\ there is
a function $\vp\to \Delta_X(\vp)$ tending to zero with $\vp>0$ such
that every operator $T\colon \ L_2\to L_2$ with $\|T\|\le \vp$ that
is simultaneously contractive (i.e.\ of norm $\le 1$) on $L_1$ and on
$L_\infty$ must be of norm $\le \Delta_X(\vp)$ on $L_2(X)$.
We show that $\Delta_X(\vp)\in O(\vp^\alpha)$ for some $\alpha>0$
iff $X$ is isomorphic to a quotient of a subspace of an ultraproduct of
$\theta$-Hilbertian spaces for some $ \theta>0$ (see Corollary
\ref{comcor4.3}), where $\theta$-Hilbertian is meant in a slightly
more general sense than in our previous paper \cite{P1}. Let
$B_{{r}}(L_2(\mu))$ be the space of all regular operators on
$L_2(\mu)$. We are able to describe the complex interpolation space \[
(B_{{r}}(L_2(\mu), B(L_2(\mu))^\theta. \] We show that $T\colon \
L_2(\mu)\to L_2(\mu)$ belongs to this space iff $T\otimes id_X$ is
bounded on $L_2(X)$ for any $\theta$-Hilbertian space $X$.
More generally, we are able to describe the spaces $$ (B(\ell_{p_0}),
B(\ell_{p_1}))^\theta \ {\rm or}\ (B(L_{p_0}), B(L_{p_1}))^\theta $$ for
any pair $1\le p_0,p_1\le \infty$ and $0<\theta<1$. In the same vein,
given a locally compact Abelian group $G$, let $M(G)$ (resp.\ $PM(G)$)
be the space of complex measures (resp.\ pseudo-measures) on $G$ equipped
with the usual norm $\|\mu\|_{M(G)} = |\mu|(G)$ (resp. \[ \|\mu\|_{PM(G)}
= \sup\{|\hat\mu(\gamma)| \ \big| \ \gamma\in\widehat G\}). \] We describe
similarly the interpolation space $(M(G), PM(G))^\theta$. Various
extensions and variants of this result will be given, e.g.\ to Schur
multipliers on $B(\ell_2)$ and to operator spaces.
Archive classification: math.FA math.OA
The source file(s), complex.4fev08.tex: 174268 bytes, is(are) stored in
gzipped form as 0802.0476.gz with size 51kb. The corresponding postcript
file has gzipped size 253kb.
Submitted from: pisier at math.jussieu.fr
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From alspach at fourier.math.okstate.edu Fri Feb 22 11:23:07 2008
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id 25B3AD0A6B; Fri, 22 Feb 2008 11:23:07 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Matthew Neal and Bernard Russo
Message-Id: <20080222172307.25B3AD0A6B at fourier.math.okstate.edu>
Date: Fri, 22 Feb 2008 11:23:07 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Contractively complemented
subspaces of pre-symmetric spaces" by Matthew Neal and Bernard Russo.
Abstract: In 1965, Ron Douglas proved that if $X$ is a closed subspace
of an $L^1$-space and $X$ is isometric to another $L^1$-space, then $X$
is the range of a contractive projection on the containing $L^1$-space. In
1977 Arazy-Friedman showed that if a subspace $X$ of $C_1$ is isometric
to another $C_1$-space (possibly finite dimensional), then there is
a contractive projection of $C_1$ onto $X$. In 1993 Kirchberg proved
that if a subspace $X$ of the predual of a von Neumann algebra $M$ is
isometric to the predual of another von Neumann algebra, then there is
a contractive projection of the predual of $M$ onto $X$.
We widen significantly the scope of these results by showing that if a
subspace $X$ of the predual of a $JBW^*$-triple $A$ is isometric to
the predual of another $JBW^*$-triple $B$, then there is a contractive
projection on the predual of $A$ with range $X$, as long as $B$ does
not have a direct summand which is isometric to a space of the form
$L^\infty(\Omega,H)$, where $H$ is a Hilbert space of dimension at least
two. The result is false without this restriction on $B$.
Archive classification: math.OA math.FA
Mathematics Subject Classification: 46B04,46L70,17C65
Remarks: 25 pages
The source file(s), ngoz020508.tex: 97855 bytes, is(are) stored in gzipped
form as 0802.0734.gz with size 29kb. The corresponding postcript file
has gzipped size 155kb.
Submitted from: brusso at math.uci.edu
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From alspach at fourier.math.okstate.edu Fri Feb 22 11:24:29 2008
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id B5454D0A6B; Fri, 22 Feb 2008 11:24:29 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Wieslaw Kubis
Message-Id: <20080222172429.B5454D0A6B at fourier.math.okstate.edu>
Date: Fri, 22 Feb 2008 11:24:29 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Banach spaces with projectional
skeletons" by Wieslaw Kubis.
Abstract: A projectional skeleton in a Banach space is a sigma-directed
family of projections onto separable subspaces, covering the entire
space. The class of Banach spaces with projectional skeletons is strictly
larger than the class of Plichko spaces (i.e. Banach spaces with a
countably norming Markushevich basis). We show that every space with
a projectional skeleton has a projectional resolution of the identity
and has a norming space with similar properties to Sigma-spaces. We
characterize the existence of a projectional skeleton in terms of
elementary substructures, providing simple proofs of known results
concerning weakly compactly generated spaces and Plichko spaces.
We prove a preservation result for Plichko Banach spaces, involving
transfinite sequences of projections. As a corollary, we show that a
Banach space is Plichko if and only if it has a commutative projectional
skeleton.
Archive classification: math.FA math.GN
Mathematics Subject Classification: 46B26; 46B03; 46E15; 54C35
Remarks: 30 pages (including index and toc), submitted
The source file(s), projs_survey-ver2e.bbl: 7090 bytes
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From alspach at fourier.math.okstate.edu Fri Feb 22 11:27:33 2008
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id 6D462D0A6B; Fri, 22 Feb 2008 11:27:33 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by D.Karayannakis
Message-Id: <20080222172733.6D462D0A6B at fourier.math.okstate.edu>
Date: Fri, 22 Feb 2008 11:27:33 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "On a conjectured inequality in
convex analysis in the case of the unit ball of lp^n" by D.Karayannakis.
Abstract: We re-confirm one of the recently stated conjectures of
G.Kuperberg of significant convex analysis interest and confirmed very
recently for the case of the unit p-ball by A.D.Gutierrez(by use of
polygamma functions and convexity theory),this time using only the
fundamentals of the gamma function and some mild classical analysis tools.
Archive classification: math.CA math.FA
Remarks: 4 pages,part of these results comprise a poster to be presented
at the 5th Congress of European Mathematics, Amsterdam July 2008
The source file(s), ONACONJECTUREDINEQUALITYINCONVEXANALYSISFORTHECA.pdf:
77405 bytes, is(are) stored in gzipped form as 0802.1942.pdf with size
76kb.
Submitted from: dkar at stef.teiher.gr
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http://front.math.ucdavis.edu/0802.1942
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http://arXiv.org/abs/0802.1942
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From alspach at fourier.math.okstate.edu Fri Feb 22 11:28:22 2008
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id C5DEED0A6B; Fri, 22 Feb 2008 11:28:22 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Heinz H. Bauschke, Xianfu Wang, Jane Ye and Xiaoming Yuan
Message-Id: <20080222172822.C5DEED0A6B at fourier.math.okstate.edu>
Date: Fri, 22 Feb 2008 11:28:22 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Bregman distances and Klee sets"
by Heinz H. Bauschke, Xianfu Wang, Jane Ye and Xiaoming Yuan.
Abstract: In 1960, Klee showed that a subset of a Euclidean space must be
a singleton provided that each point in the space has a unique farthest
point in the set. This classical result has received much attention; in
fact, the Hilbert space version is a famous open problem. In this paper,
we consider Klee sets from a new perspective. Rather than measuring
distance induced by a norm, we focus on the case when distance is meant
in the sense of Bregman, i.e., induced by a convex function. When the
convex function has sufficiently nice properties, then - analogously to
the Euclidean distance case - every Klee set must be a singleton. We
provide two proofs of this result, based on Monotone Operator Theory
and on Nonsmooth Analysis. The latter approach leads to results that
complement work by Hiriart-Urruty on the Euclidean case.
Archive classification: math.FA math.OC
Mathematics Subject Classification: 47H05; 41A65; 49J52
The source file(s), submitted.tex: 49600 bytes, is(are) stored in gzipped
form as 0802.2322.gz with size 15kb. The corresponding postcript file
has gzipped size 113kb.
Submitted from: heinz.bauschke at ubc.ca
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http://front.math.ucdavis.edu/0802.2322
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From alspach at fourier.math.okstate.edu Tue Feb 26 08:06:29 2008
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id 82B3ED0A4A; Tue, 26 Feb 2008 08:06:29 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Yoshimichi Ueda
Message-Id: <20080226140629.82B3ED0A4A at fourier.math.okstate.edu>
Date: Tue, 26 Feb 2008 08:06:29 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "On peak phenomena for
non-commutative $H^\infty$" by Yoshimichi Ueda.
Abstract: A non-commutative extension of Amar and Lederer's peak
set result is given. As its simple applications it is shown that
any non-commutative $H^\infty$-algebra $H^\infty(M,\tau)$ has unique
predual, and moreover some of the results of Blecher and Labuschagne
are generalized to the complete form.
Archive classification: math.FA math.OA
The source file(s), peak.tex: 31983 bytes, is(are) stored in gzipped
form as 0802.3449.gz with size 10kb. The corresponding postcript file
has gzipped size 78kb.
Submitted from: ueda at math.kyushu-u.ac.jp
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http://front.math.ucdavis.edu/0802.3449
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From alspach at fourier.math.okstate.edu Wed Feb 27 09:46:44 2008
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id 1DDF9D0A7A; Wed, 27 Feb 2008 09:46:44 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Michael Cwikel
Message-Id: <20080227154644.1DDF9D0A7A at fourier.math.okstate.edu>
Date: Wed, 27 Feb 2008 09:46:44 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Complex interpolation of compact
operators mapping into lattice couples" by Michael Cwikel.
Abstract: Suppose that (A_0,A_1) and (B_0,B_1) are Banach couples, and
that T is a linear operator which maps A_0 compactly into B_0 and A_1
boundedly (or even compactly) into B_1.
Does this imply that T maps [A_0,A_1]_s to [B_0,B_1]_s compactly for
0<s<1 ? (Here, as usual, [A_0,A_1]_s denotes the complex interpolation
space of Alberto Calderon.)
This question has been open for 44 years. Affirmative answers are
known for it in many special cases. We answer it affirmatively in the
case where (A_0,A_1) is arbitrary and (B_0,B_1) is a couple of Banach
lattices having absolutely continuous norms or the Fatou property.
Archive classification: math.FA
Mathematics Subject Classification: 46B70, 46E30 (primary)
Remarks: 14 pages. (Page 13 contains routine and standard material
which you
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0802.3520
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From alspach at fourier.math.okstate.edu Wed Feb 27 09:48:17 2008
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id 72A4BD0A7A; Wed, 27 Feb 2008 09:48:17 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Peng Gao
Message-Id: <20080227154817.72A4BD0A7A at fourier.math.okstate.edu>
Date: Wed, 27 Feb 2008 09:48:17 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "On $l^2$ norms of some weighted
mean matrices" by Peng Gao.
Abstract: We give another proof of a result of Bennett on the $l^{p}$
operator norms of some weighted mean matrices for the case $p=2$.
Archive classification: math.FA
Mathematics Subject Classification: 47A30
Remarks: 6 pages
The source file(s), Bilinearineqarxiv.tex: 25253 bytes, is(are) stored in
gzipped form as 0802.3546.gz with size 7kb. The corresponding postcript
file has gzipped size 71kb.
Submitted from: penggao at utsc.utoronto.ca
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From alspach at fourier.math.okstate.edu Wed Feb 27 09:49:09 2008
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id 48209D0A7A; Wed, 27 Feb 2008 09:49:09 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by M.I. Ostrovskii
Message-Id: <20080227154909.48209D0A7A at fourier.math.okstate.edu>
Date: Wed, 27 Feb 2008 09:49:09 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Coarse embeddability into Banach
spaces" by M.I. Ostrovskii.
Abstract: The main purposes of this paper are (1) To survey the area
of coarse embeddability of metric spaces into Banach spaces, and,
in particular, coarse embeddability of different Banach spaces into
each other; (2) To present new results on the problems: (a) Whether
coarse non-embeddability into $\ell_2$ implies presence of expander-like
structures? (b) To what extent $\ell_2$ is the most difficult space to
embed into?
Archive classification: math.FA math.MG
Mathematics Subject Classification: 46B20; 54E40
Remarks: 23 pages
The source file(s), Coarse2007.tex: 46609 bytes, is(are) stored in gzipped
form as 0802.3666.gz with size 15kb. The corresponding postcript file
has gzipped size 125kb.
Submitted from: ostrovsm at stjohns.edu
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http://front.math.ucdavis.edu/0802.3666
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From banach-bounces at math.okstate.edu Mon Feb 25 17:13:47 2008
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To: banach at math.okstate.edu
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Date: Mon, 25 Feb 2008 17:11:51 -0600
From: Dale Alspach <alspach at math.okstate.edu>
Subject: [Banach] Lior Tzafriri
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Lior Tzafriri, Professor Emeritus at the Hebrew University of Jerusalem,
died Sunday morning after undergoing heart surgery. Lior had recovered
from surgery he underwent in the autumn. He was leading a normal life,
going out, frequently coming to the
Institute of Mathematics, and was as well humored as usual.
Those who knew Lior will miss not only his sharp mathematical insights
but his enormous sense of humor, true wisdom, and his gentle behavior
that was so surprising for a person with such a strong personality and
independence of mind.
Lior's funeral will take place 12:00 Tuesday, February 26, at Bet
Hahesped,
We are very sorry to announce that Professor Lior Tzafriri passed away on
February 24, 2008. He died in Jerusalem during an open heart surgery
for replacement of a valve in his heart.
Lior was born on May 9, 1936 in Bucharest and emigrated to Israel in
1961. He started his university studies in Bucharest but did his PhD
in Jerusalem on the subject of spectral operators. He was on the
faculty of the Hebrew University since 1970, as a full professor since
1978. He was a visiting professor in several universities, including
Northwestern University, University of Minnesota, California Institute
of Technology, Cambridge University, University of Copenhagen, IHES,
Ohio State University and Texas A&M.
Most of his research work was in Banach space theory. Here are some
of his contributions to the subject:
1. The solution of the complemented subspaces problem (with
J. Lindenstrauss).
2. The structure theory of Orlicz sequence spaces (with
J. Lindenstrauss).
3. Spaces with unique unconditional bases up to permutation (with
J. Bourgain, P. Casazza and J. Lindenstrauss).
4. The textbooks: Classical Banach Spaces I, II (with
J. Lindenstrauss).
5. The 0-2 law (with Y. Katznelson).
6. The structure of Banach spaces with a symmetric structure (with
W. B. Johnson, B. Maurey and G. Schechtman).
7. Invertibility of large submatrices (with J. Bourgain).
8. The structure of finite dimensional subspaces of Lp (with
J. Bourgain).
9. Work on the Kadison Singer problem (with J. Bourgain).
Lior Tzafriri did an outstanding job as the chairman of the
Mathematics Department of the Hebrew University during his two separate
terms.
Those who knew Lior will miss not only his sharp mathematical insights
but his enormous sense of humor, true wisdom, and his gentle behavior
that was so surprising for a person with such a strong personality and
independence of mind.
Lior is survived by Marianna, his wife of 51 years;
his daughter Edna; his son Rami; and three grandchildren.
(Sent by Bill Johnson)
_______________________________________________
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From alspach at fourier.math.okstate.edu Fri Feb 29 15:01:17 2008
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id ACA05D09A1; Fri, 29 Feb 2008 15:01:17 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Mark Rudelson and Roman Vershynin
Message-Id: <20080229210117.ACA05D09A1 at fourier.math.okstate.edu>
Date: Fri, 29 Feb 2008 15:01:17 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "The smallest singular value of
a random rectangular matrix" by Mark Rudelson and Roman Vershynin.
Abstract: We prove an optimal estimate on the smallest singular value of
a random subgaussian matrix, valid for all fixed dimensions. For an N by n
matrix A with independent and identically distributed subgaussian entries,
the smallest singular value of A is at least of the order \sqrt{N} -
\sqrt{n-1} with high probability. A sharp estimate on the probability
is also obtained.
Archive classification: math.PR math.FA
Mathematics Subject Classification: 15A52, 11P70
Remarks: 32 pages
The source file(s), rv-rectangular-matrices.tex: 80875 bytes, is(are)
stored in gzipped form as 0802.3956.gz with size 23kb. The corresponding
postcript file has gzipped size 149kb.
Submitted from: rudelson at math.missouri.edu
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http://front.math.ucdavis.edu/0802.3956
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From alspach at fourier.math.okstate.edu Tue Mar 4 15:24:44 2008
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id 4D685D0A8A; Tue, 4 Mar 2008 15:24:44 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Yun-Su Kim
Message-Id: <20080304212444.4D685D0A8A at fourier.math.okstate.edu>
Date: Tue, 4 Mar 2008 15:24:44 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Banach Spaces with respect to
operator-valued norms" by Yun-Su Kim.
Abstract: We introduce the notions of L(H)-valued norms and Banach
spaces with respect to L(H)-valued norms. In particular, we introduce
Hilbert spaces with respect to L(H)-valued inner products. In addition,
we provide several fundamental examples of Hilbert spaces with respect
to L(H)-valued inner products.
Archive classification: math.FA math.OA
Mathematics Subject Classification: 46B45 ; 46C07
Remarks: 13 page
The source file(s), 2o-Banach.tex: 41954 bytes, is(are) stored in gzipped
form as 0803.0041.gz with size 10kb. The corresponding postcript file
has gzipped size 83kb.
Submitted from: kimys at indiana.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0803.0041
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http://arXiv.org/abs/0803.0041
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From alspach at fourier.math.okstate.edu Wed Mar 5 11:59:54 2008
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id A349BD0A94; Wed, 5 Mar 2008 11:59:54 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Jakub Onufry Wojtaszczyk
Message-Id: <20080305175954.A349BD0A94 at fourier.math.okstate.edu>
Date: Wed, 5 Mar 2008 11:59:54 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "A series whose sum range is an
arbitrary finite set" by Jakub Onufry Wojtaszczyk.
Abstract: In finitely-dimensional spaces the sum range of a series
has to be an affine subspace. It is long known this is not the case in
infinitely dimensional Banach spaces. In particular in 1984 M.I. Kadets
and K. Wo\`{z}niakowski obtained an example of a series the sum range
of which consisted of two points, and asked whether it is possible to
obtain more than two, but finitely many points. This paper answers the
question positively, by showing how to obtain an arbitrary finite set
as the sum range of a series in any infinitely dimensional Banach space.
Archive classification: math.FA
Mathematics Subject Classification: 46B15
Citation: Studia Mathematica 171 (3) (2005), pp. 261-281
Remarks: 21 pages
The source file(s), npunktow.tex: 64310 bytes, is(are) stored in gzipped
form as 0803.0415.gz with size 20kb. The corresponding postcript file
has gzipped size 127kb.
Submitted from: onufryw at gmail.com
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0803.0415
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From alspach at fourier.math.okstate.edu Wed Mar 5 12:00:44 2008
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id 601BAD0A94; Wed, 5 Mar 2008 12:00:44 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Jakub Onufry Wojtaszczyk
Message-Id: <20080305180044.601BAD0A94 at fourier.math.okstate.edu>
Date: Wed, 5 Mar 2008 12:00:44 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "The square negative correlation
property for generalized Orlicz balls" by Jakub Onufry Wojtaszczyk.
Abstract: Antilla, Ball and Perissinaki proved that the squares of
coordinate functions in $\ell_p^n$ are negatively correlated. This
paper extends their results to balls in generalized Orlicz norms on
R^n. From this, the concentration of the Euclidean norm and a form of the
Central Limit Theorem for the generalized Orlicz balls is deduced. Also,
a counterexample for the square negative correlation hypothesis for
1-symmetric bodies is given.
Currently the CLT is known in full generality for convex bodies (see the
paper "Power-law estimates for the central limit theorem for convex
sets" by B. Klartag), while for generalized Orlicz balls a much more
general result is true (see "The negative association property for the
absolute values of random variables equidistributed on a generalized
Orlicz ball" by M. Pilipczuk and J. O. Wojtaszczyk). While, however,
both aforementioned papers are rather long, complicated and technical,
this paper gives a simple and elementary proof of, eg., the Euclidean
concentration for generalized Orlicz balls.
Archive classification: math.PR math.FA
Mathematics Subject Classification: 52A20, 60D05
Citation: Geometric Aspects of Functional Analysis, Israel Seminar,
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0803.0433
or
http://arXiv.org/abs/0803.0433
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From alspach at fourier.math.okstate.edu Wed Mar 5 12:02:09 2008
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id 8C7A6D0A94; Wed, 5 Mar 2008 12:02:09 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Marcin Pilipczuk, Jakub Onufry Wojtaszczyk
Message-Id: <20080305180209.8C7A6D0A94 at fourier.math.okstate.edu>
Date: Wed, 5 Mar 2008 12:02:09 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "The negative association property
for the absolute values of random variables equidistributed on a
generalized Orlicz ball" by Marcin Pilipczuk, Jakub Onufry Wojtaszczyk.
Abstract: Random variables equidistributed on convex bodies have received
quite a lot of attention in the last few years. In this paper we prove the
negative association property (which generalizes the subindependence of
coordinate slabs) for generalized Orlicz balls. This allows us to give
a strong concentration property, along with a few moment comparison
inequalities. Also, the theory of negatively associated variables is
being developed in its own right, which allows us to hope more results
will be available. Moreover, a simpler proof of a more general result
for $\ell_p^n$ balls is given.
Archive classification: math.PR math.FA
Mathematics Subject Classification: 52A20, 60D05
Remarks: 44 pages (sorry)
The source file(s), dlaorlic.tex: 166228 bytes, is(are) stored in gzipped
form as 0803.0434.gz with size 46kb. The corresponding postcript file
has gzipped size 253kb.
Submitted from: onufryw at gmail.com
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0803.0434
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From alspach at fourier.math.okstate.edu Wed Mar 5 12:03:25 2008
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id E42C4D0A94; Wed, 5 Mar 2008 12:03:25 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by K. J. Swanepoel
Message-Id: <20080305180325.E42C4D0A94 at fourier.math.okstate.edu>
Date: Wed, 5 Mar 2008 12:03:25 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Vertex degrees of Steiner
minimal trees in $\ell_p^d$ and other smooth Minkowski spaces" by
K. J. Swanepoel.
Abstract: We find upper bounds for the degrees of vertices and Steiner
points in Steiner Minimal Trees in the d-dimensional Banach spaces
\ell_p^d independent of d. This is in contrast to Minimal Spanning Trees,
where the maximum degree of vertices grows exponentially in d (Robins
and Salowe, 1995). Our upper bounds follow from characterizations of
singularities of SMT's due to Lawlor and Morgan (1994), which we extend,
and certain \ell_p-inequalities. We derive a general upper bound of d+1
for the degree of vertices of an SMT in an arbitrary smooth d-dimensional
Banach space; the same upper bound for Steiner points having been found
by Lawlor and Morgan. We obtain a second upper bound for the degrees of
vertices in terms of 1-summing norms.
Archive classification: math.MG math.FA
Mathematics Subject Classification: 05C05 (Primary); 49Q10 (Secondary)
Citation: Discrete & Computational Geometry 21 (1999) 437-447
Remarks: 12 pages
The source file(s), steiner-lp.tex: 30143 bytes, is(are) stored in gzipped
form as 0803.0443.gz with size 10kb. The corresponding postcript file
has gzipped size 81kb.
Submitted from: konrad.swanepoel at gmail.com
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http://front.math.ucdavis.edu/0803.0443
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From banach-bounces at math.okstate.edu Tue Mar 11 20:37:10 2008
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Date: Tue, 11 Mar 2008 20:36:24 -0500
From: Dale Alspach <alspach at math.okstate.edu>
Message-Id: <20080312013624.2BAF7DE58C at szlenk.math.okstate.edu>
Subject: [Banach] Workshop in Analysis and Probability
Reply-To: johnson at math.tamu.edu
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Workshop in Analysis and Probability
Department of Mathematics
Texas A&M University
Summer 2008
The Summer 2008 session of the Workshop in Analysis and Probability at Texas A&M University will be in session from July 7 until August 10. For information about the Workshop, consult the Workshop Home Page, URL
http://www.math.tamu.edu/research/workshops/linanalysis/
The Informal Regional Functional Analysis Seminar (SUMIRFAS) will be held August 8-10.
Julien Giol <giol at math.tamu.edu>, David Kerr (chair) <kerr at math.tamu.edu>, and Andrew Toms <atoms at mathstat.yorku.ca> are organizing a Concentration Week on "Operator Algebras, Dynamics, and Classification" which will take place August 4-8. For more information, go to
http://www.math.tamu.edu/~kerr/concweek08.html.
Ron Douglas <rdouglas at math.tamu.edu> is organizing a Concentration Week on "Multivariate Operator Theory" that will take place July 28 - August 1.
The Workshop is supported in part by grants from the National Science Foundation (NSF). Minorities, women, graduate students, and young researchers are especially encouraged to attend.
For logistical support, including requests for support, please contact Cara Barton <cara at math.tamu.edu> or Jaime Vykukal <jaime at math.tamu.edu>. For more information on the Workshop itself, please contact William Johnson <johnson at math.tamu.edu>, David Larson <larson at math.tamu.edu>, Gilles Pisier <pisier at math.tamu.edu>, or Joel Zinn <jzinn at math.tamu.edu>.
For information about the Concentration Week "Operator Algebras, Dynamics, and Classification" contact David Kerr <kerr at math.tamu.edu>.
For information about the Concentration Week on "Multivariate Operator Theory", contact Ron Douglas <rdouglas at math.tamu.edu>.
_______________________________________________
Banach mailing list
Banach at math.okstate.edu
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From alspach at fourier.math.okstate.edu Fri Mar 14 15:06:40 2008
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id 31F08D0595; Fri, 14 Mar 2008 15:06:40 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Manor Mendel and Assaf Naor
Message-Id: <20080314200640.31F08D0595 at fourier.math.okstate.edu>
Date: Fri, 14 Mar 2008 15:06:40 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Markov convexity and local rigidity
of distorted metrics" by Manor Mendel and Assaf Naor.
Abstract: The geometry of discrete tree metrics is studied from the
following perspectives:
1. Markov p-convexity, which was shown by Lee, Naor, and Peres to be a
property of p-convex Banach space, is shown here to be equivalent to
p-convexity of Banach spaces.
2. On the other hand, there exists an example of a metric space which
is not Markov p-convex for any finite p, but does not uniformly contain
complete binary trees. Note that the previous item implies that Banach
spaces contain complete binary trees uniformly if and only if they are
not Markov p-convex for any finite p.
3. For every B>4, a metric space X is constructed such that all
tree metrics can be embedded in X with distortion at most B, but when
large complete binary trees are embedded in X, the distortion tends to
B. Therefore the class of finite tree metrics do exhibit a dichotomy
in the distortions achievable when embedding them in other metric
spaces. This is in contrast to the dichotomy exhibited by the class of
finite subsets of L_1, and the class of all finite metric spaces.
Archive classification: math.MG math.FA
Remarks: 10 pages, extended abstract to appear in SoCG '08
%The source file(s), Charlie-tree-socg.bbl: 8435 bytes
Charlie-tree-socg.tex: 150202 bytes figs/3path-types.eps: 26109
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18207 bytes figs/mid-lemma2-c2b.pdf: 10699 bytes figs/mid-lemma2-c2c.eps:
21237 bytes figs/mid-lemma2-c2c.pdf: 12496 bytes figs/midpoints-new.eps:
17442 bytes figs/midpoints-new.pdf: 9662 bytes figs/tip-contract.eps:
13542 bytes figs/tip-contract.pdf: 6745 bytes figs/type-II-surprise.eps:
17919 bytes figs/type-II-where-w.eps: 11124 bytes sig-alt-full.cls:
56035 bytes, is(are) stored in gzipped
form as 0803.1697.tar.gz with size 302kb. The corresponding postcript
file has gzipped size 146kb.
Submitted from: mendelma at gmail.com
The paper may be downloaded from the archive by web browser from URL
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From alspach at fourier.math.okstate.edu Fri Mar 21 12:02:16 2008
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id 67D00D0540; Fri, 21 Mar 2008 12:02:16 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Ian Doust and Venta Terauds
Message-Id: <20080321170216.67D00D0540 at fourier.math.okstate.edu>
Date: Fri, 21 Mar 2008 12:02:16 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Extensions of an $AC(\sigma)$
functional calculus" by Ian Doust and Venta Terauds.
Abstract: On a reflexive Banach space $X$, if an operator $T$ admits
a functional calculus for the absolutely continuous functions on
its spectrum $\sigma(T) \subseteq \mathbb{R}$, then this functional
calculus can always be extended to include all the functions of bounded
variation. This need no longer be true on nonreflexive spaces. In
this paper, it is shown that on most classical separable nonreflexive
spaces, one can construct an example where such an extension is
impossible. Sufficient conditions are also given which ensure that an
extension of an $\AC$ functional calculus is possible for operators
acting on families of interpolation spaces such as the $L^p$ spaces.
Archive classification: math.FA
Mathematics Subject Classification: 47B40
The source file(s), extns-f-submit.tex: 36353 bytes, is(are) stored in
gzipped form as 0803.2131.gz with size 11kb. The corresponding postcript
file has gzipped size 84kb.
Submitted from: i.doust at unsw.edu.au
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http://front.math.ucdavis.edu/0803.2131
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From alspach at fourier.math.okstate.edu Wed Mar 26 11:59:43 2008
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id 34571D05C8; Wed, 26 Mar 2008 11:59:43 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Marianne Morillon
Message-Id: <20080326165943.34571D05C8 at fourier.math.okstate.edu>
Date: Wed, 26 Mar 2008 11:59:43 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Countable choice and compactness"
by Marianne Morillon.
Abstract: We work in set-theory without choice ZF. Denoting by AC(N)
the countable axiom of choice, we show in ZF+AC(N) that the closed unit
ball of a uniformly convex Banach space is compact in the convex topology
(an alternative to the weak topology in ZF). We prove that this ball is
(closely) convex-compact in the convex topology. Given a set I, a real
number p greater or equal to 1 (resp. . p = 0), and some closed subset
F of [0, 1]^I which is a bounded subset of l^p(I), we show that AC(N)
(resp. DC, the axiom of Dependent Choices) implies the compactness of F.
Archive classification: math.FA math.GN math.LO
Mathematics Subject Classification: 03E25, 46B26, 54D30
The source file(s), figure.tex: 548 bytes
final.bbl: 2612 bytes
final.tex: 55144 bytes
icone-ermit.eps: 24310 bytes
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0803.3131
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From alspach at fourier.math.okstate.edu Wed Mar 26 12:00:45 2008
Return-Path: <alspach at fourier.math.okstate.edu>
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id B7200D05C8; Wed, 26 Mar 2008 12:00:45 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Jarno Talponen
Message-Id: <20080326170045.B7200D05C8 at fourier.math.okstate.edu>
Date: Wed, 26 Mar 2008 12:00:45 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Lindelof type of generalization
of separability in Banach spaces" by Jarno Talponen.
Abstract: We will introduce the countable separation property (CSP) of
Banach spaces X, which is defined as follows: For each subset \mathcal{F}
of X^{\ast}, which separates X, there exists a countable separating subset
\mathcal{F}_{0} of \mathcal{F}. All separable Banach spaces have CSP and
plenty of examples of non-separable CSP spaces are provided. Connections
of CSP with Markucevic-bases, Corson property and related geometric
issues are discussed.
Archive classification: math.FA
Mathematics Subject Classification: 46B26; 46A50
The source file(s), csp.tex: 62263 bytes, is(are) stored in gzipped
form as 0803.3541.gz with size 17kb. The corresponding postcript file
has gzipped size 108kb.
Submitted from: talponen at cc.helsinki.fi
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0803.3541
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http://arXiv.org/abs/0803.3541
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From alspach at fourier.math.okstate.edu Wed Mar 26 12:01:25 2008
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id D849FD05C8; Wed, 26 Mar 2008 12:01:25 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Michael Cwikel
Message-Id: <20080326170125.D849FD05C8 at fourier.math.okstate.edu>
Date: Wed, 26 Mar 2008 12:01:25 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Lecture notes on duality and
interpolation spaces" by Michael Cwikel.
Abstract: Known or essentially known results about duals of interpolation
spaces are presented, taking a point of view sometimes slightly different
from the usual one. Particular emphasis is placed on Alberto Calderon's
theorem describing the duals of his complex interpolation spaces
[A_0,A_1]_\theta. The pace is slow, since these notes are intended for
graduate students who have just begun to study interpolation spaces.
Archive classification: math.FA
Mathematics Subject Classification: 46B70 (primary) 46B10 (secondary)
Remarks: 24 pages
The source file(s), NotesOnDuality-arXiv.tex: 93949 bytes, is(are)
stored in gzipped form as 0803.3558.gz with size 25kb. The corresponding
postcript file has gzipped size 138kb.
Submitted from: mcwikel at math.technion.ac.il
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0803.3558
or
http://arXiv.org/abs/0803.3558
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From alspach at fourier.math.okstate.edu Wed Apr 2 08:43:25 2008
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To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Yauhen Radyna, Yakov Radyno, and Anna Sidorik
Message-Id: <20080402134325.4CB80D090E at fourier.math.okstate.edu>
Date: Wed, 2 Apr 2008 08:43:25 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Characterizing Hilbert spaces
using Fourier transform over the field of p-adic numbers" by Yauhen
Radyna, Yakov Radyno, and Anna Sidorik.
Abstract: We characterize Hilbert spaces in the class of all Banach
spaces using Fourier transform of vector-valued functions over the field
$Q_p$ of $p$-adic numbers. Precisely, Banach space $X$ is isomorphic to a
Hilbert one if and only if Fourier transform $F: L_2(Q_p,X)\to L_2(Q_p,X)$
in space of functions, which are square-integrable in Bochner sense and
take value in $X$, is a bounded operator.
Archive classification: math.FA
Mathematics Subject Classification: 46C15, 43A25
Citation: Yauhen Radyna, Yakov Radyno, Anna Sidorik, Characterizing
Hilbert
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0803.3646
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http://arXiv.org/abs/0803.3646
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From alspach at fourier.math.okstate.edu Wed Apr 2 09:42:28 2008
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id ADE15D090E; Wed, 2 Apr 2008 09:42:28 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Anton R. Schep
Message-Id: <20080402144228.ADE15D090E at fourier.math.okstate.edu>
Date: Wed, 2 Apr 2008 09:42:28 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Products and factors of Banach
function spaces" by Anton R. Schep.
Abstract: Given two Banach function spaces we study the pointwise product
space E.F, especially for the case that the pointwise product of their
unit balls is again convex. We then give conditions on when the pointwise
product E . M(E, F)=F, where M(E,F) denotes the space of multiplication
operators from E into F.
Archive classification: math.FA
Mathematics Subject Classification: 46E30; 47B38
Remarks: 16 pages
The source file(s), product-bfs.bbl: 4503 bytes
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0803.4336
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http://arXiv.org/abs/0803.4336
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From alspach at fourier.math.okstate.edu Wed Apr 2 09:43:14 2008
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id 1C90ED090E; Wed, 2 Apr 2008 09:43:13 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Th. Schlumprecht and N. Sivakumar
Message-Id: <20080402144314.1C90ED090E at fourier.math.okstate.edu>
Date: Wed, 2 Apr 2008 09:43:14 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "On the sampling and recovery
of bandlimited functions via scattered translates of the Gaussian"
by Th. Schlumprecht and N. Sivakumar.
Abstract: Let $\lambda$ be a positive number, and let $(x_j:j\in\mathbb
Z)\subset\mathbb R$ be a fixed Riesz-basis sequence, namely, $(x_j)$
is strictly increasing, and the set of functions $\{\mathbb R\ni
t\mapsto e^{ix_jt}:j\in\mathbb Z\}$ is a Riesz basis ({\it i.e.,\/}
unconditionalbasis) for $L_2[-\pi,\pi]$. Given a function $f\in
L_2(\mathbb R)$ whose Fourier transform is zero almost everywhere outside
the interval $[-\pi,\pi]$, there is a unique square-summable sequence
$(a_j:j\in\mathbb Z)$, depending on $\lambda$ and $f$, such that the
function$$I_\lambda(f)(x):=\sum_{j\in\mathbb Z}a_je^{-\lambda(x-x_j)^2},
\qquad x\in\mathbb R, $$ is continuous and square integrable on
$(-\infty,\infty)$, and satisfies the interpolatory conditions $I_\lambda
(f)(x_j)=f(x_j)$, $j\in\mathbb Z$. It is shown that $I_\lambda(f)$
converges to $f$ in $L_2(\mathbb R)$, and also uniformly on $\mathbb R$,
as $\lambda\to0^+$. A multidimensional version of this result is also
obtained. In addition, the fundamental functions for the univariate
interpolation process are defined, and some of their basic properties,
including their exponential decay for large argument, are established. It
is further shown that the associated interpolation operators are bounded
on $\ell_p(\mathbb Z)$ for every $p\in[1,\infty]$.
Archive classification: math.CA math.FA
Mathematics Subject Classification: 41A05 46E15
The source file(s), scsi1_5.tex: 93892 bytes, is(are) stored in gzipped
form as 0803.4344.gz with size 27kb. The corresponding postcript file
has gzipped size 165kb.
Submitted from: schlump at math.tamu.edu
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http://front.math.ucdavis.edu/0803.4344
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From alspach at fourier.math.okstate.edu Wed Apr 2 09:46:05 2008
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id CC5BAD090E; Wed, 2 Apr 2008 09:46:05 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Christian Le Merdy and Fedor Sukochev
Message-Id: <20080402144605.CC5BAD090E at fourier.math.okstate.edu>
Date: Wed, 2 Apr 2008 09:46:05 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Rademacher averages on
noncommutative symmetric spaces" by Christian Le Merdy and Fedor Sukochev.
Abstract: Let E be a separable (or the dual of a separable) symmetric
function space, let M be a semifinite von Neumann algebra and let E(M)
be the associated noncommutative function space. Let $(\varepsilon_k)_k$
be a Rademacher sequence, on some probability space $\Omega$. For
finite sequences $(x_k)_k of E(M), we consider the Rademacher averages
$\sum_k \varepsilon_k\otimes x_k$ as elements of the noncommutative
function space $E(L^\infty(\Omega)\otimes M)$ and study estimates for
their norms $\Vert \sum_k \varepsilon_k \otimes x_k\Vert_E$ calculated
in that space. We establish general Khintchine type inequalities in
this context. Then we show that if E is 2-concave, the latter norm is
equivalent to the infimum of $\Vert (\sum y_k^*y_k)^{\frac{1}{2}}\Vert +
\Vert (\sum z_k z_k^*)^{\frac{1}{2}}\Vert$ over all $y_k,z_k$ in E(M)
such that $x_k=y_k+z_k$ for any k. Dual estimates are given when E is
2-convex and has a non trivial upper Boyd index. We also study Rademacher
averages for doubly indexed families of E(M).
Archive classification: math.FA math.OA
Mathematics Subject Classification: 46L52; 46M35; 47L05
The source file(s), KHTot.tex: 72248 bytes, is(are) stored in gzipped
form as 0803.4404.gz with size 20kb. The corresponding postcript file
has gzipped size 152kb.
Submitted from: clemerdy at univ-fcomte.fr
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http://front.math.ucdavis.edu/0803.4404
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http://arXiv.org/abs/0803.4404
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From alspach at fourier.math.okstate.edu Wed Apr 2 09:47:05 2008
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id AB981D090E; Wed, 2 Apr 2008 09:47:05 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Christian Le Merdy, Eric Ricard, and Jean Roydor
Message-Id: <20080402144705.AB981D090E at fourier.math.okstate.edu>
Date: Wed, 2 Apr 2008 09:47:05 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Completely 1-complemented subspaces
of Schatten spaces" by Christian Le Merdy, Eric Ricard, and Jean Roydor.
Abstract: We consider the Schatten spaces S^p in the framework of
operator space theory and for any $1\leq p\not=2<\infty$, we characterize
the completely 1-complemented subspaces of S^p. They turn out to be
the direct sums of spaces of the form S^p(H,K), where H,K are Hilbert
spaces. This result is related to some previous work of Arazy-Friedman
giving a description of all 1-complemented subspaces of S^p in terms
of the Cartan factors of types 1-4. We use operator space structures on
these Cartan factors regarded as subspaces of appropriate noncommutative
L^p-spaces. Also we show that for any $n\geq 2$, there is a triple
isomorphism on some Cartan factor of type 4 and of dimension 2n which
is not completely isometric, and we investigate L^p-versions of such
isomorphisms.
Archive classification: math.FA math.OA
Mathematics Subject Classification: 46L07; 46L89; 17C65
Remarks: To be pubished in the Transactions of the American Mathematical
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0803.4408
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http://arXiv.org/abs/0803.4408
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From alspach at fourier.math.okstate.edu Wed Apr 2 09:48:16 2008
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id A2C61D090E; Wed, 2 Apr 2008 09:48:16 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Marius Junge and Christian Le Merdy
Message-Id: <20080402144816.A2C61D090E at fourier.math.okstate.edu>
Date: Wed, 2 Apr 2008 09:48:16 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Dilations and rigid factorisations
on noncommutative L^p-spaces" by Marius Junge and Christian Le Merdy.
Abstract: We study some factorisation and dilation properties of
completely positive maps on noncommutative L^p-spaces. We show that
Akcoglu's dilation theorem for positive contractions on classical
(=commutative) L^p-spaces has no reasonable analog in the noncommutative
setting. Our study relies on non symmetric analogs of Pisier's operator
space valued noncommutative L^p-spaces that we investigate in the first
part of the paper.
Archive classification: math.FA math.OA
Mathematics Subject Classification: 46L07, 46L51, 48B28
Remarks: To be published in Journal of Functional Analysis
The source file(s), JLRevised.tex: 91495 bytes, is(are) stored in gzipped
form as 0803.4410.gz with size 26kb. The corresponding postcript file
has gzipped size 178kb.
Submitted from: clemerdy at univ-fcomte.fr
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http://front.math.ucdavis.edu/0803.4410
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From alspach at fourier.math.okstate.edu Wed Apr 2 09:49:05 2008
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id E738BD090E; Wed, 2 Apr 2008 09:49:05 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Marianne Morillon
Message-Id: <20080402144905.E738BD090E at fourier.math.okstate.edu>
Date: Wed, 2 Apr 2008 09:49:05 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Uniform Eberlein spaces and the
finite axiom of choice" by Marianne Morillon.
Abstract: We work in set-theory without choice $\ZF$. Given a closed
subset $F$ of $[0,1]^I$ which is a bounded subset of $\ell^1(I)$ ({\em
resp.} such that $F \subseteq \ell^0(I)$), we show that the countable
axiom of choice for finite subsets of $I$, ({\em resp.} the countable
axiom of choice $\ACD$) implies that $F$ is compact. This enhances
previous results where $\ACD$ ({\em resp.} the axiom of Dependent
Choices $\DC$) was required. Moreover, if $I$ is linearly orderable (for
example $I=\IR$), the closed unit ball of $\ell^2(I)$ is weakly compact
(in $\ZF$).
Archive classification: math.FA math.GN math.LO
Mathematics Subject Classification: 03E25 , 54B10, 54D30, 46B26
The source file(s), icone-ermit.eps: 24310 bytes
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0804.0154
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From alspach at fourier.math.okstate.edu Mon Apr 7 16:44:47 2008
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id DFDEDD0AE1; Mon, 7 Apr 2008 16:44:47 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Z. Brzezniak, J. M. A. M. van Neerven, M. C. Veraar and L. Weis
Message-Id: <20080407214447.DFDEDD0AE1 at fourier.math.okstate.edu>
Date: Mon, 7 Apr 2008 16:44:47 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Ito's formula in UMD Banach spaces
and regularity of solutions of the Zakai equation" by Z. Brzezniak,
J. M. A. M. van Neerven, M. C. Veraar and L. Weis.
Abstract: Using the theory of stochastic integration for processes
with values in a UMD Banach space developed recently by the authors,
an Ito formula is proved which is applied to prove the existence of
strong solutions for a class of stochastic evolution equations in UMD
Banach spaces. The abstract results are applied to prove regularity in
space and time of the solutions of the Zakai equation.
Archive classification: math.PR math.FA
Mathematics Subject Classification: 60H15; 28C20; 35R60; 46B09; 60B11
Remarks: Accepted for publication in Journal of Differential Equations
The source file(s), zakai_01_04-2008_arxiv.tex: 83664 bytes, is(are)
stored in gzipped form as 0804.0302.gz with size 25kb. The corresponding
postcript file has gzipped size 148kb.
Submitted from: mark at profsonline.nl
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http://front.math.ucdavis.edu/0804.0302
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From alspach at fourier.math.okstate.edu Mon Apr 7 16:45:52 2008
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id 13D61D0AE1; Mon, 7 Apr 2008 16:45:51 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Emanuel Milman
Message-Id: <20080407214552.13D61D0AE1 at fourier.math.okstate.edu>
Date: Mon, 7 Apr 2008 16:45:51 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "On the role of convexity in
functional and isoperimetric inequalities" by Emanuel Milman.
Abstract: This is a continuation of our previous work
http://arxiv.org/abs/0712.4092. It is well known that various
isoperimetric inequalities imply their functional ``counterparts'', but in
general this is not an equivalence. We show that under certain convexity
assumptions (e.g. for log-concave probability measures in Euclidean
space), the latter implication can in fact be reversed for very general
inequalities, generalizing a reverse form of Cheeger's inequality due
to Buser and Ledoux. We develop a coherent single framework for passing
between isoperimetric inequalities, Orlicz-Sobolev functional inequalities
and capacity inequalities, the latter being notions introduced by Maz'ya
and extended by Barthe--Cattiaux--Roberto. As an application, we extend
the known results due to the latter authors about the stability of the
isoperimetric profile under tensorization, when there is no Central-Limit
obstruction. As another application, we show that under our convexity
assumptions, $q$-log-Sobolev inequalities ($q \in [1,2]$) are equivalent
to an appropriate family of isoperimetric inequalities, extending results
of Bakry--Ledoux and Bobkov--Zegarlinski. Our results extend to the more
general setting of Riemannian manifolds with density which satisfy the
$CD(0,\infty)$ curvature-dimension condition of Bakry--\'Emery.
Archive classification: math.FA math.PR
Mathematics Subject Classification: 32F32, 26D10, 46E35, 31C15
Remarks: 42 pages
The source file(s), Dingir120.eps: 7755 bytes
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0804.0453
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http://arXiv.org/abs/0804.0453
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From alspach at fourier.math.okstate.edu Mon Apr 7 16:47:06 2008
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id A11FAD0AE1; Mon, 7 Apr 2008 16:47:06 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Miroslav Bacak and Petr Hajek
Message-Id: <20080407214706.A11FAD0AE1 at fourier.math.okstate.edu>
Date: Mon, 7 Apr 2008 16:47:06 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Mazur intersection property for
Asplund spaces" by Miroslav Bacak and Petr Hajek.
Abstract: The main result of the present note states that
it is consistent with the ZFC axioms of set theory (relying on Martin's
Maximum MM axiom), that every Asplund space of density character $\om$
has a renorming with the Mazur intersection property. Combined with the
previous result of Jim\' enez and Moreno (based upon the work of Kunen
under the continuum hypothesis)
we obtain that the MIP renormability of Asplund spaces of density
$\om$ is undecidable in ZFC.
Archive classification: math.FA
Mathematics Subject Classification: 46B03
Remarks: 6 pages
The source file(s), bacak-hajek.tex: 25023 bytes, is(are) stored in
gzipped form as 0804.0583.gz with size 9kb. The corresponding postcript
file has gzipped size 70kb.
Submitted from: bacak at karlin.mff.cuni.cz
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http://front.math.ucdavis.edu/0804.0583
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From alspach at fourier.math.okstate.edu Thu Apr 10 13:43:04 2008
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id 86D14D0ADE; Thu, 10 Apr 2008 13:43:04 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by J.M.A.M. van Neerven, M.C. Veraar, and L. Weis
Message-Id: <20080410184304.86D14D0ADE at fourier.math.okstate.edu>
Date: Thu, 10 Apr 2008 13:43:04 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Stochastic evolution equations
in UMD Banach spaces" by J.M.A.M. van Neerven, M.C. Veraar, and L. Weis.
Abstract: We discuss existence, uniqueness, and space-time H\"older
regularity for solutions of the parabolic stochastic evolution
equation \[\left\{\begin{aligned} dU(t) & = (AU(t) + F(t,U(t)))\,dt +
B(t,U(t))\,dW_H(t), \qquad t\in [0,\Tend],\\
U(0) & = u_0, \end{aligned} \right. \] where $A$ generates an analytic
$C_0$-semigroup on a UMD Banach space $E$ and $W_H$ is a cylindrical
Brownian motion with values in a Hilbert space $H$. We prove that if the
mappings $F:[0,T]\times E\to E$ and $B:[0,T]\times E\to \mathscr{L}(H,E)$
satisfy suitable Lipschitz conditions and $u_0$ is $\F_0$-measurable
and bounded, then this problem has a unique mild solution, which has
trajectories in $C^\l([0,T];\D((-A)^\theta)$ provided $\lambda\ge 0$
and $\theta\ge 0$ satisfy $\l+\theta<\frac12$. Various extensions of
this result are given and the results are applied to parabolic stochastic
partial differential equations.
Archive classification: math.FA math.PR
Mathematics Subject Classification: 47D06; 60H15; 28C20; 46B09
Remarks: Accepted for publication in Journal of Functional Analysis
The source file(s), scp_arxiv.tex: 157532 bytes, is(are) stored in gzipped
form as 0804.0932.gz with size 44kb. The corresponding postcript file
has gzipped size 241kb.
Submitted from: mark at profsonline.nl
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http://front.math.ucdavis.edu/0804.0932
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http://arXiv.org/abs/0804.0932
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From alspach at fourier.math.okstate.edu Thu Apr 10 13:45:21 2008
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id CD4FAD0ADE; Thu, 10 Apr 2008 13:45:21 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by William Arveson
Message-Id: <20080410184521.CD4FAD0ADE at fourier.math.okstate.edu>
Date: Thu, 10 Apr 2008 13:45:21 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Maximal vectors in Hilbert space
and quantum entanglement" by William Arveson.
Abstract: Given two matrix algebras $M_1$, $M_2$, the natural inclusion
of $\mathcal L^1(M_1\otimes M_2)$ in the projective tensor product
of Banach spaces $\mathcal L^1(M_1)\hat\otimes \mathcal L^1(M_2)$ is
a contraction but not an isometry; and the projective cross norm can
be restricted to the convex set $\mathcal S$ of density matrices in
$M_1\otimes M_2$to obtain a continuous convex function $E:\mathcal S\to
[1,\infty)$. We show that $E$ {\em faithfully measures entanglement} in
the sense that a state is entangled if and only if its density matrix
$A$ satisfies $E(A)>1$. Moreover, $E(A)$ is maximized at the density
matrix $A$ associated with a pure state if and only if the range of $A$
is generated by a maximally entangled unit vector.
These concrete results follow from a general analysis of norm-closed
subsets $V$ of the unit sphere of a Hilbert space $H$. A {\em maximal vector}
(for $V$) is a unit vector $\xi\in H$ whose distance to $V$ is maximum. Maximal
vectors generalize the ``maximally entangled" unit vectors of quantum
theory.
In general, under a mild regularity hypothesis on $V$ we show that
there is a {\em norm} on $\mathcal L^1(H)$ whose restriction to the convex
set $\mathcal S$ of density operators achieves its minimum precisely on
the closed convex hull of the rank one projections associated with vectors
in $V$. It achieves its maximum on a rank one projection precisely when
its unit vector is a maximal vector. This ``entanglement-measuring norm"
is unique, and computation shows it to be the projective cross norm in
the above setting of bipartite tensor products $H=H_1\otimes H_2$.
Archive classification: math.OA math.FA
Mathematics Subject Classification: 46N50,81P68, 94B27
Remarks: 25 pages
The source file(s), ent4.tex: 76983 bytes, is(are) stored in gzipped
form as 0804.1140.gz with size 21kb. The corresponding postcript file
has gzipped size 126kb.
Submitted from: arveson at math.berkeley.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0804.1140
or
http://arXiv.org/abs/0804.1140
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From alspach at fourier.math.okstate.edu Mon Apr 14 09:46:58 2008
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id 2CDF0D0ADF; Mon, 14 Apr 2008 09:46:58 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Ariel Blanco and Niels Groenbaek
Message-Id: <20080414144658.2CDF0D0ADF at fourier.math.okstate.edu>
Date: Mon, 14 Apr 2008 09:46:58 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Amenability of algebras of
approximable operators" by Ariel Blanco and Niels Groenbaek.
Abstract: We give a necessary and sufficient condition for amenability
of the Banach algebra of approximable operators on a Banach space. We
further investigate the relationship between amenability of this algebra
and factorization of operators, strengthening known results and developing
new techniques to determine whether or not a given Banach space carries
an amenable algebra of approximable operators. Using these techniques,
we are able to show, among other things, the non-amenability of the
algebra of approximable operators on Tsirelson's space.
Archive classification: math.FA
Mathematics Subject Classification: 46B20, 47L10 (primary), 16E40
(secondary)
Remarks: 20 pages, to appear in Israel Journal of Mathematics
The source file(s), OnAmenability2.tex: 82733 bytes, is(are) stored in
gzipped form as 0804.1725.gz with size 25kb. The corresponding postcript
file has gzipped size 148kb.
Submitted from: gronbaek at math.ku.dk
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0804.1725
or
http://arXiv.org/abs/0804.1725
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From alspach at fourier.math.okstate.edu Tue Apr 15 17:17:21 2008
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id 37E4CD0595; Tue, 15 Apr 2008 17:17:21 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Dmitry B. Rokhlin
Message-Id: <20080415221721.37E4CD0595 at fourier.math.okstate.edu>
Date: Tue, 15 Apr 2008 17:17:21 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Kreps-Yan theorem for Banach
ideal spaces" by Dmitry B. Rokhlin.
Abstract: Let $C$ be a closed convex cone in a Banach ideal space $X$
on a measurable space with a $\sigma$-finite measure. We prove that
conditions $C\cap X_+=\{0\}$ and $C\supset -X_+$ imply the existence of a
strictly positive continuous functional on $X$, whose restriction to $C$
is non-positive.
Archive classification: math.FA
Mathematics Subject Classification: 46E30; 46B42
Remarks: 6 pages
The source file(s), RokhlinKreps-Yantheoremforbanachidealspaceseng.tex:
18929 bytes, is(are) stored in gzipped form as 0804.2075.gz with size
7kb. The corresponding postcript file has gzipped size 73kb.
Submitted from: rokhlin at math.rsu.ru
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0804.2075
or
http://arXiv.org/abs/0804.2075
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From alspach at fourier.math.okstate.edu Fri Apr 18 17:10:14 2008
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id 699B8D05DF; Fri, 18 Apr 2008 17:10:14 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Ostrovsky E. Sirota L
Message-Id: <20080418221014.699B8D05DF at fourier.math.okstate.edu>
Date: Fri, 18 Apr 2008 17:10:14 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Nikol'skii-type inequalities for
rearrangement invariant spaces" by Ostrovsky E. Sirota L.
Abstract: In this paper we generalize the classical Nikol'skii
inequality on the many popular classes pairs of rearrangement invariant
(r.i.) spaces and construct some examples in order to show the exactness
of our estimations.
Archive classification: math.FA
Mathematics Subject Classification: 60G17
The source file(s), Nik14_4.tex: 40903 bytes, is(are) stored in gzipped
form as 0804.2311.gz with size 14kb. The corresponding postcript file
has gzipped size 85kb.
Submitted from: leos at post.sce.ac.il
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0804.2311
or
http://arXiv.org/abs/0804.2311
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subject line
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From alspach at fourier.math.okstate.edu Fri Apr 18 17:11:21 2008
Return-Path: <alspach at fourier.math.okstate.edu>
X-Original-To: alspach
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Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id A5751D05DF; Fri, 18 Apr 2008 17:11:21 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Boris Burshteyn
Message-Id: <20080418221121.A5751D05DF at fourier.math.okstate.edu>
Date: Fri, 18 Apr 2008 17:11:21 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Uniform lamda-adjustment and
mu-approximation in Banach spaces" by Boris Burshteyn.
Abstract: We introduce a new concept of perturbation of closed linear
subspaces and operators in Banach spaces called uniform lambda-adjustment
which is weaker than perturbations by small gap, operator norm, q-norm,
and K2-approximation. In arbitrary Banach spaces some of the classical
Fredholm stability theorems remain true under uniform lambda-adjustment,
while other fail. However, uniformly lambda-adjusted subspaces and linear
operators retain their (semi--)Fredholm properties in a Banach space
which dual is Fr\'{e}chet-Urysohn in weak* topology. We also introduce
another concept of perturbation called uniform mu-approximation which is
weaker than perturbations by small gap, norm, and compact convergence,
yet stronger than uniform lambda-adjustment. We present Fredholm stability
theorems for uniform mu-approximation in arbitrary Banach spaces and
a theorem on stability of Riesz kernels and ranges for commuting closed
essentially Kato operators. Finally, we define the new concepts of a tuple
of subspaces and of a complex of subspaces in Banach spaces, and present
stability theorems for index and defect numbers of Fredholm tuples and
complexes under uniform lambda-adjustment and uniform mu-approximation.
Archive classification: math.FA
Mathematics Subject Classification: 32A70; 46A32; 46B50; 47A53; 47A55;
47B07;
Remarks: 90 pages
The source file(s), boris997paper1.tex: 300886 bytes (looks big), is(are)
stored in gzipped form as 0804.2832.gz with size 63kb. The corresponding
postcript file has gzipped size 446kb.
Submitted from: boris997 at astound.net
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0804.2832
or
http://arXiv.org/abs/0804.2832
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From alspach at fourier.math.okstate.edu Fri Apr 18 17:12:49 2008
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id 1A399D05DF; Fri, 18 Apr 2008 17:12:49 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Hirbod Assa
Message-Id: <20080418221249.1A399D05DF at fourier.math.okstate.edu>
Date: Fri, 18 Apr 2008 17:12:49 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Characterization of compact
subsets of $\mathcal{A}^p$ with respect to weak topology" by Hirbod Assa.
Abstract: In this brief article we characterize the
relatively compact subsets of $\mathcal{A}^p$ for the topology
$\sigma(\mathcal{A}^p,\mathcal{R}^q)$ (see below), by the weak compact
subsets of $L^p$ . The spaces $\mathcal{R}^q$ endowed with the weak
topology induced by $\mathcal{A}^p$, was recently employed to create
the convex risk theory of random processes. The weak compact sets of
$\mathcal{A}^p$ are important to characterize the so-called Lebesgue
property of convex risk measures, to give a complete description of the
Makcey topology on $\mathcal{R}^q$ and for their use in the optimization
theory.
Archive classification: math.PR math.FA
Remarks: 8 pages
The source file(s), compactsetsAssa.H.tex: 19008 bytes, is(are) stored in
gzipped form as 0804.2873.gz with size 6kb. The corresponding postcript
file has gzipped size 67kb.
Submitted from: assa at dms.umontreal.ca
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0804.2873
or
http://arXiv.org/abs/0804.2873
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From alspach at fourier.math.okstate.edu Wed Apr 30 14:00:54 2008
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Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id 29F20D06C7; Wed, 30 Apr 2008 14:00:54 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Dusan Repovs and Pavel V. Semenov
Message-Id: <20080430190054.29F20D06C7 at fourier.math.okstate.edu>
Date: Wed, 30 Apr 2008 14:00:54 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "A unified construction yielding
precisely Hilbert and James sequences spaces" by Dusan Repovs and Pavel
V. Semenov.
Abstract: Following James' approach, we shall define the Banach space
$J(e)$ for each vector $e=(e_1,e_2,...,e_d) \in \Bbb{R}^d$ with $ e_1
\ne 0$. The construction immediately implies that $J(1)$ coincides with
the Hilbert space $i_2$ and that $J(1;-1)$ coincides with the celebrated
quasireflexive James space $J$. The results of this paper show that,
up to an isomorphism, there are only the following two possibilities:
(i) either $J(e)$ is isomorphic to $l_2$ ,if $e_1+e_2+...+e_d\ne 0$
(ii) or $J(e)$ is isomorphic to $J$. Such a dichotomy also holds for
every separable Orlicz sequence space $l_M$.
Archive classification: math.GN math.FA
Mathematics Subject Classification: 54C60; 54C65; 41A65; 54C55; 54C20
The source file(s), ArchiveVersion.tex: 21648 bytes, is(are) stored in
gzipped form as 0804.3131.gz with size 8kb. The corresponding postcript
file has gzipped size 65kb.
Submitted from: dusan.repovs at guest.arnes.si
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0804.3131
or
http://arXiv.org/abs/0804.3131
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From alspach at fourier.math.okstate.edu Wed Apr 30 14:02:12 2008
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X-Original-To: alspach
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id 53215D06C7; Wed, 30 Apr 2008 14:02:12 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Mark Veraar and Tuomas Hytonen
Message-Id: <20080430190212.53215D06C7 at fourier.math.okstate.edu>
Date: Wed, 30 Apr 2008 14:02:12 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "R-boundedness of smooth
operator-valued functions" by Mark Veraar and Tuomas Hytonen.
Abstract: In this paper we study $R$-boundedness of operator families
$\mathcal{T}\subset \calL(X,Y)$, where $X$ and $Y$ are Banach
spaces. Under cotype and type assumptions on $X$ and $Y$ we give
sufficient conditions for $R$-boundedness. In the first part we show
that certain integral operator are $R$-bounded. This will be used to
obtain $R$-boundedness in the case that $\mathcal{T}$ is the range of
an operator-valued function $T:\R^d\to \calL(X,Y)$ which is in a certain
Besov space $B^{d/r}_{r,1}(\R^d;\calL(X,Y))$. The results will be applied
to obtain $R$-boundedness of semigroups and evolution families, and to
obtain sufficient conditions for existence of solutions for stochastic
Cauchy problems.
Archive classification: math.FA math.PR
Mathematics Subject Classification: 47B99; 46B09; 46E35; 46E40
The source file(s), rboundedsmooth_arxiv.tex: 81153 bytes, is(are)
stored in gzipped form as 0804.3313.gz with size 24kb. The corresponding
postcript file has gzipped size 142kb.
Submitted from: mark at profsonline.nl
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0804.3313
or
http://arXiv.org/abs/0804.3313
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From alspach at fourier.math.okstate.edu Wed Apr 30 14:03:02 2008
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X-Original-To: alspach
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Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id C9FEDD06C7; Wed, 30 Apr 2008 14:03:02 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Venta Terauds
Message-Id: <20080430190302.C9FEDD06C7 at fourier.math.okstate.edu>
Date: Wed, 30 Apr 2008 14:03:02 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Functional calculus extensions
on dual spaces" by Venta Terauds.
Abstract: In this note, we show that if a Banach space X has a predual,
then every bounded linear operator on X with a continuous functional
calculus admits a bounded Borel functional calculus. A consequence of
this is that on such a Banach space, the classes of finitely spectral
and prespectral operators coincide. We also apply this result to give
some sufficient conditions for an operator with an absolutely continuous
functional calculus to admit a bounded Borel one.
Archive classification: math.FA
Mathematics Subject Classification: 47B40
Remarks: 7 pages
The source file(s), func_calc_extns_terauds.tex: 24129 bytes, is(are)
stored in gzipped form as 0804.3451.gz with size 7kb. The corresponding
postcript file has gzipped size 70kb.
Submitted from: venta.terauds at newcastle.edu.au
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0804.3451
or
http://arXiv.org/abs/0804.3451
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From alspach at fourier.math.okstate.edu Wed Apr 30 14:30:05 2008
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X-Original-To: alspach
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Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id 3662CD06C7; Wed, 30 Apr 2008 14:30:05 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Matthew Daws, Hung Le Pham and Stuart White
Message-Id: <20080430193005.3662CD06C7 at fourier.math.okstate.edu>
Date: Wed, 30 Apr 2008 14:30:05 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Conditions implying the uniqueness
of the weak$^*$-topology on certain group algebras" by Matthew Daws,
Hung Le Pham and Stuart White.
Abstract: We investigate possible preduals of the measure algebra $M(G)$
of a locally compact group and the Fourier algebra $A(G)$ of a separable
compact group. Both of these algebras are canonically dual spaces and the
canonical preduals make the multiplication separately weak$^*$-continuous
so that these algebras are dual Banach algebras. In this paper we find
additional conditions under which the preduals $C_0(G)$ of $M(G)$ and
$C^*(G)$ of $A(G)$ are uniquely determined. In both cases we consider a
natural coassociative multiplication and show that the canonical predual
gives rise to the unique weak$^*$-topology making both the multiplication
separately weak$^*$-continuous and the coassociative multiplication
weak$^*$-continuous. In particular, dual cohomological properties of
these algebras are well defined with this additional structure.
Archive classification: math.FA math.OA
Mathematics Subject Classification: 43A20, 43A77
Remarks: 21 pages
The source file(s), UniquePredualFinalDraft2.tex: 73814 bytes, is(are)
stored in gzipped form as 0804.3764.gz with size 22kb. The corresponding
postcript file has gzipped size 133kb.
Submitted from: matt.daws at cantab.net
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0804.3764
or
http://arXiv.org/abs/0804.3764
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From alspach at fourier.math.okstate.edu Wed Apr 30 14:31:36 2008
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Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id E6D7BD06C7; Wed, 30 Apr 2008 14:31:36 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Andrea Colesanti and Eugenia Saorin-Gomez
Message-Id: <20080430193136.E6D7BD06C7 at fourier.math.okstate.edu>
Date: Wed, 30 Apr 2008 14:31:36 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Functional inequalities derived
from the Brunn-Minkowski inequalities for quermassintegrals" by Andrea
Colesanti and Eugenia Saorin-Gomez.
Abstract: We use Brunn-Minkowski inequalities for quermassintegrals to
deduce a family of inequalities of Poincar\'e type on the unit sphere
and on the boundary of smooth convex bodies in the $n$-dimensional
Euclidean space.
Archive classification: math.FA math.MG
Mathematics Subject Classification: 52A20; 26D10
Remarks: 15 pages
The source file(s), cs3.tex: 37802 bytes, is(are) stored in gzipped
form as 0804.3867.gz with size 12kb. The corresponding postcript file
has gzipped size 109kb.
Submitted from: colesant at math.unifi.it
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0804.3867
or
http://arXiv.org/abs/0804.3867
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From alspach at fourier.math.okstate.edu Wed Apr 30 14:33:04 2008
Return-Path: <alspach at fourier.math.okstate.edu>
X-Original-To: alspach
Delivered-To: alspach at fourier.math.okstate.edu
Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id 72DF4D06C7; Wed, 30 Apr 2008 14:33:04 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Jarno Talponen
Message-Id: <20080430193304.72DF4D06C7 at fourier.math.okstate.edu>
Date: Wed, 30 Apr 2008 14:33:04 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "The isometry group of L^{p}(\mu,\X)
is SOT-contractible" by Jarno Talponen.
Abstract: We will show that if (\Omega,\Sigma,\mu) is an atomless
positive measure space, X is a Banach space and 1\leq p<\infty, then
the group of isometric automorphisms on the Bochner space L^{p}(\mu,X)
is contractible in the strong operator topology. We do not require \Sigma
or X above to be separable.
Archive classification: math.FA
Mathematics Subject Classification: 46B04; 46B25; 46E40
The source file(s), contr32.tex: 27449 bytes, is(are) stored in gzipped
form as 0804.4427.gz with size 9kb. The corresponding postcript file
has gzipped size 75kb.
Submitted from: talponen at cc.helsinki.fi
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0804.4427
or
http://arXiv.org/abs/0804.4427
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uget 0804.4427
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to: math at arXiv.org.
From alspach at fourier.math.okstate.edu Wed Apr 30 14:34:58 2008
Return-Path: <alspach at fourier.math.okstate.edu>
X-Original-To: alspach
Delivered-To: alspach at fourier.math.okstate.edu
Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id 9155DD06C7; Wed, 30 Apr 2008 14:34:58 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Michael Doree, Olga Maleva
Message-Id: <20080430193458.9155DD06C7 at fourier.math.okstate.edu>
Date: Wed, 30 Apr 2008 14:34:58 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "A compact null set containing a
differentiability point of every Lipschitz function" by Michael Doree and
Olga Maleva.
Abstract: We prove that in a Euclidean space of dimension at least
two, there exists a compact set of Lebesgue measure zero such that any
real-valued Lipschitz function defined on the space is differentiable
at some point in the set. Such a set is constructed explicitly.
Archive classification: math.FA math.CA
Mathematics Subject Classification: 46G05; 46T20
Remarks: 31 pages
The source file(s), DoreMaleva.tex: 76535 bytes, is(are) stored in gzipped
form as 0804.4576.gz with size 22kb. The corresponding postcript file
has gzipped size 144kb.
Submitted from: o.maleva at warwick.ac.uk
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0804.4576
or
http://arXiv.org/abs/0804.4576
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From banach-bounces at math.okstate.edu Mon May 5 13:09:06 2008
Return-Path: <banach-bounces at math.okstate.edu>
To: banach at math.okstate.edu
Date: Mon, 05 May 2008 07:46:24 -0500
From: Dale Alspach <alspach at math.okstate.edu>
Subject: [Banach] symposium
On May 27-28 the Institute of Mathematics of the
Hebrew University of Jerusalem is organizing a memorial
symposium for Lior Tzafriri, titled "Geometry of Banach Spaces".
A tentative program of the symposium can be found on the webpage:
http://www.ma.huji.ac.il/~landau/conf/banach_08.html
_______________________________________________
Banach mailing list
Banach at math.okstate.edu
https://mail.math.okstate.edu/mailman/listinfo/banach
From alspach at fourier.math.okstate.edu Tue May 13 10:41:18 2008
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id C2714D06D5; Tue, 13 May 2008 10:41:18 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Oscar Blasco and Sandra Pott
Message-Id: <20080513154118.C2714D06D5 at fourier.math.okstate.edu>
Date: Tue, 13 May 2008 10:41:18 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Embeddings between operator-valued
dyadic BMO spaces" by Oscar Blasco and Sandra Pott.
Abstract: We investigate a scale of dyadic operator-valued BMO spaces,
corresponding to the different yet equivalent characterizations of dyadic
BMO in the scalar case. In the language of operator spaces, we investigate
different operator space structures on the scalar dyadic BMO space which
arise naturally from the different characterisations of scalar BMO. We
also give sharp dimensional growth estimates for the sweep of functions
and its bilinear extension in some of those different dyadic BMO spaces.
Archive classification: math.FA
Mathematics Subject Classification: Primary 42B30, 42B35, Secondary 47B35
Remarks: to appear in Illinois J. Math
The source file(s), BlascoPott2.tex: 45114 bytes, is(are) stored in
gzipped form as 0805.0620.gz with size 14kb. The corresponding postcript
file has gzipped size 102kb.
Submitted from: s.pott at maths.gla.ac.uk
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0805.0620
or
http://arXiv.org/abs/0805.0620
or by email in unzipped form by transmitting an empty message with
subject line
uget 0805.0620
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From alspach at fourier.math.okstate.edu Thu May 15 17:35:47 2008
Return-Path: <alspach at fourier.math.okstate.edu>
X-Original-To: alspach
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Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id 55773D07E8; Thu, 15 May 2008 17:35:47 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Pandelis Dodos, Jordi Lopez Abad and Stevo Todorcevic
Message-Id: <20080515223547.55773D07E8 at fourier.math.okstate.edu>
Date: Thu, 15 May 2008 17:35:47 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Unconditional basic sequences
in spaces of large density" by Pandelis Dodos, Jordi Lopez Abad and
Stevo Todorcevic.
Abstract: We study the problem of the existence of unconditional basic
sequences in Banach spaces of high density. We show, in particular,
the relative consistency with GCH of the statement that every Banach
space of density $\aleph_\omega$ contains an unconditional basic sequence.
Archive classification: math.FA math.LO
Mathematics Subject Classification: 46B03, 03E35
The source file(s), DLT.tex: 74305 bytes, is(are) stored in gzipped
form as 0805.1860.gz with size 22kb. The corresponding postcript file
has gzipped size 136kb.
Submitted from: abad at logique.jussieu.fr
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0805.1860
or
http://arXiv.org/abs/0805.1860
or by email in unzipped form by transmitting an empty message with
subject line
uget 0805.1860
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to: math at arXiv.org.
From alspach at fourier.math.okstate.edu Thu May 15 17:36:29 2008
Return-Path: <alspach at fourier.math.okstate.edu>
X-Original-To: alspach
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Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id C75D2D07E8; Thu, 15 May 2008 17:36:29 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Pandelis Dodos
Message-Id: <20080515223629.C75D2D07E8 at fourier.math.okstate.edu>
Date: Thu, 15 May 2008 17:36:29 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Definability under duality"
by Pandelis Dodos.
Abstract: It is shown that if $A$ is an analytic class of separable Banach
spaces with separable dual, then the set $A^*=\{ Y:\exists X\in A \text{
with } Y\cong X^*\}$ is analytic. The corresponding result for pre-duals
is false.
Archive classification: math.FA math.LO
Mathematics Subject Classification: 03E15, 46B10
Remarks: 9 pages, no figures
The source file(s), DualsVersion-ArXiv.tex: 29048 bytes, is(are) stored
in gzipped form as 0805.2036.gz with size 9kb. The corresponding postcript
file has gzipped size 79kb.
Submitted from: pdodos at math.ntua.gr
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0805.2036
or
http://arXiv.org/abs/0805.2036
or by email in unzipped form by transmitting an empty message with
subject line
uget 0805.2036
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to: math at arXiv.org.
From alspach at fourier.math.okstate.edu Thu May 15 17:37:09 2008
Return-Path: <alspach at fourier.math.okstate.edu>
X-Original-To: alspach
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Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id CE492D07E8; Thu, 15 May 2008 17:37:09 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Pandelis Dodos
Message-Id: <20080515223709.CE492D07E8 at fourier.math.okstate.edu>
Date: Thu, 15 May 2008 17:37:09 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "On antichains of spreading models
of Banach spaces" by Pandelis Dodos.
Abstract: We show that for every separable Banach space $X$, either
$\spw(X)$ (the set of all spreading models of $X$ generated by weakly-null
sequences in $X$, modulo equivalence) is countable, or $\spw(X)$ contains
an antichain of the size of the continuum. This answers a question of
S. J. Dilworth, E. Odell and B. Sari.
Archive classification: math.FA math.LO
Mathematics Subject Classification: 03E15, 46B20
Remarks: 14 pages, no figures. Canadian Mathematical Bulletin (to appear)
The source file(s), SP-ArXiv.tex: 44752 bytes, is(are) stored in gzipped
form as 0805.2038.gz with size 13kb. The corresponding postcript file
has gzipped size 96kb.
Submitted from: pdodos at math.ntua.gr
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0805.2038
or
http://arXiv.org/abs/0805.2038
or by email in unzipped form by transmitting an empty message with
subject line
uget 0805.2038
or in gzipped form by using subject line
get 0805.2038
to: math at arXiv.org.
From alspach at fourier.math.okstate.edu Thu May 15 17:38:18 2008
Return-Path: <alspach at fourier.math.okstate.edu>
X-Original-To: alspach
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Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id 6E6C2D07E8; Thu, 15 May 2008 17:38:18 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Pandelis Dodos
Message-Id: <20080515223818.6E6C2D07E8 at fourier.math.okstate.edu>
Date: Thu, 15 May 2008 17:38:18 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "On classes of Banach spaces
admitting ``small" universal spaces" by Pandelis Dodos.
Abstract: We characterize those classes $\ccc$ of separable Banach
spaces admitting a separable universal space $Y$ (that is, a space $Y$
containing, up to isomorphism, all members of $\ccc$) which is not
universal for all separable Banach spaces. The characterization is a
byproduct of the fact, proved in the paper, that the class $\mathrm{NU}$
of non-universal separable Banach spaces is strongly bounded. This settles
in the affirmative the main conjecture form \cite{AD}. Our approach
is based, among others, on a construction of $\llll_\infty$-spaces,
due to J. Bourgain and G. Pisier. As a consequence we show that there
exists a family $\{Y_\xi:\xi<\omega_1\}$ of separable, non-universal,
$\llll_\infty$-spaces which uniformly exhausts all separable Banach
spaces. A number of other natural classes of separable Banach spaces
are shown to be strongly bounded as well.
Archive classification: math.FA math.LO
Mathematics Subject Classification: 03E15, 46B03, 46B07, 46B15
Remarks: 25 pages, no figures
The source file(s), Universal-ArXiv.tex: 81806 bytes, is(are) stored in
gzipped form as 0805.2043.gz with size 24kb. The corresponding postcript
file has gzipped size 143kb.
Submitted from: pdodos at math.ntua.gr
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0805.2043
or
http://arXiv.org/abs/0805.2043
or by email in unzipped form by transmitting an empty message with
subject line
uget 0805.2043
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to: math at arXiv.org.
From alspach at fourier.math.okstate.edu Thu May 15 17:39:14 2008
Return-Path: <alspach at fourier.math.okstate.edu>
X-Original-To: alspach
Delivered-To: alspach at fourier.math.okstate.edu
Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id 2A177D07E8; Thu, 15 May 2008 17:39:14 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Pandelis Dodos and Jordi Lopez-Abad
Message-Id: <20080515223914.2A177D07E8 at fourier.math.okstate.edu>
Date: Thu, 15 May 2008 17:39:14 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "On unconditionally saturated
Banach spaces" by Pandelis Dodos and Jordi Lopez-Abad.
Abstract: We prove a structural property of the class of unconditionally
saturated separable Banach spaces. We show, in particular, that for every
analytic set $\aaa$, in the Effros-Borel space of subspaces of $C[0,1]$,
of unconditionally saturated separable Banach spaces, there exists
an unconditionally saturated Banach space $Y$, with a Schauder basis,
that contains isomorphic copies of every space $X$ in the class $\aaa$.
Archive classification: math.FA math.LO
Mathematics Subject Classification: 03E15, 46B03, 46B07, 46B15
Remarks: 16 pages, no figures. Studia Mathematica (to appear)
The source file(s), UnconditionallySaturated-ArXiv.tex: 49281 bytes,
is(are) stored in gzipped form as 0805.2046.gz with size 14kb. The
corresponding postcript file has gzipped size 102kb.
Submitted from: pdodos at math.ntua.gr
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0805.2046
or
http://arXiv.org/abs/0805.2046
or by email in unzipped form by transmitting an empty message with
subject line
uget 0805.2046
or in gzipped form by using subject line
get 0805.2046
to: math at arXiv.org.
From alspach at fourier.math.okstate.edu Tue May 27 13:30:56 2008
Return-Path: <alspach at fourier.math.okstate.edu>
X-Original-To: alspach
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Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id AA84DD07D3; Tue, 27 May 2008 13:30:56 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Isabelle Chalendar, Emmanuel Fricain, and Dan Timotin
Message-Id: <20080527183056.AA84DD07D3 at fourier.math.okstate.edu>
Date: Tue, 27 May 2008 13:30:56 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "A note on James spaces and
superstrictly singular operators" by Isabelle Chalendar, Emmanuel Fricain,
and Dan Timotin.
Abstract: An elementary lemma is used in order to show that the natural
inclusion $J_p\to J_q$ of James spaces is superstrictly singular for
$p<q$. As a consequence, it is shown that an operator without nontrivial
invariant subspaces constructed by Charles Read is superstrictly singular.
Archive classification: math.FA
The source file(s), James.tex: 20594 bytes, is(are) stored in gzipped
form as 0805.3409.gz with size 7kb. The corresponding postcript file
has gzipped size 70kb.
Submitted from: fricain at math.univ-lyon1.fr
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0805.3409
or
http://arXiv.org/abs/0805.3409
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subject line
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From alspach at fourier.math.okstate.edu Tue May 27 13:37:28 2008
Return-Path: <alspach at fourier.math.okstate.edu>
X-Original-To: alspach
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id C240BD07D3; Tue, 27 May 2008 13:37:28 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Mark Rudelson and Roman Vershynin
Message-Id: <20080527183728.C240BD07D3 at fourier.math.okstate.edu>
Date: Tue, 27 May 2008 13:37:28 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "The least singular value of a
random square matrix is O(n^{-1/2})" by Mark Rudelson and Roman Vershynin.
Abstract: Let A be a matrix whose entries are real i.i.d. centered random
variables with unit variance and suitable moment assumptions. Then
the smallest singular value of A is of order n^{-1/2} with high
probability. The lower estimate of this type was proved recently by the
authors; in this note we establish the matching upper estimate.
Archive classification: math.PR math.FA
Mathematics Subject Classification: 15A52
Remarks: 6 pages
The source file(s), square-matrices-reverse.tex: 17210 bytes, is(are)
stored in gzipped form as 0805.3407.gz with size 6kb. The corresponding
postcript file has gzipped size 68kb.
Submitted from: vershynin at math.ucdavis.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0805.3407
or
http://arXiv.org/abs/0805.3407
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From alspach at fourier.math.okstate.edu Tue May 27 13:38:35 2008
Return-Path: <alspach at fourier.math.okstate.edu>
X-Original-To: alspach
Delivered-To: alspach at fourier.math.okstate.edu
Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id D4466D07D3; Tue, 27 May 2008 13:38:35 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Fernando Rambla Jarno Talponen
Message-Id: <20080527183835.D4466D07D3 at fourier.math.okstate.edu>
Date: Tue, 27 May 2008 13:38:35 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Simultaneous realization of
function space structures in transitive Banach spaces" by Fernando
Rambla and Jarno Talponen.
Abstract: Let L be a locally compact Hausdorff space and m the Lebesgue
measure on the unit interval. We will prove the existence of a transitive
Banach space X such that C_{0}(L,X) and the Bochner spaces L^{p}(m,X),
1\leq p\leq \infty, are all isometrically isomorphic to X. Also, more
general results of this type are presented.
Added note:THIS PAPER WAS WITHDRAWN May 29, 2008
Archive classification: math.FA
Mathematics Subject Classification: 46B04; 46E40
The source file(s), BCO4.tex: 52768 bytes, is(are) stored in gzipped
form as 0805.3616.gz with size 15kb. The corresponding postcript file
has gzipped size 96kb.
Submitted from: talponen at cc.helsinki.fi
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0805.3616
or
http://arXiv.org/abs/0805.3616
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to: math at arXiv.org.
From alspach at fourier.math.okstate.edu Tue May 27 13:39:45 2008
Return-Path: <alspach at fourier.math.okstate.edu>
X-Original-To: alspach
Delivered-To: alspach at fourier.math.okstate.edu
Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id 26EDDD07D3; Tue, 27 May 2008 13:39:45 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Stanislaw J. Szarek and Nicole Tomczak-Jaegermann
Message-Id: <20080527183945.26EDDD07D3 at fourier.math.okstate.edu>
Date: Tue, 27 May 2008 13:39:45 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "On the nontrivial projection
problem" by Stanislaw J. Szarek and Nicole Tomczak-Jaegermann.
Abstract: The Nontrivial Projection Problem asks whether every
finite-dimensional normed space of dimension greater than one admits a
well-bounded projection of non-trivial rank and corank or, equivalently,
whether every centrally symmetric convex body (of arbitrary dimension
greater than one) is approximately affinely equivalent to a direct product
of two bodies of non-trivial dimension. We show that this is true "up
to a logarithmic factor."
Archive classification: math.FA
Mathematics Subject Classification: 46B20, secondary 46B07, 52A21
Remarks: 17 pages
The source file(s), NPPforArxiv.tex: 46100 bytes, is(are) stored in
gzipped form as 0805.3792.gz with size 17kb. The corresponding postcript
file has gzipped size 126kb.
Submitted from: szarek at cwru.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0805.3792
or
http://arXiv.org/abs/0805.3792
or by email in unzipped form by transmitting an empty message with
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to: math at arXiv.org.
From alspach at fourier.math.okstate.edu Tue May 27 13:40:46 2008
Return-Path: <alspach at fourier.math.okstate.edu>
X-Original-To: alspach
Delivered-To: alspach at fourier.math.okstate.edu
Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id 2915AD07D3; Tue, 27 May 2008 13:40:46 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Chao You and Bao Qi Feng
Message-Id: <20080527184046.2915AD07D3 at fourier.math.okstate.edu>
Date: Tue, 27 May 2008 13:40:46 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "On distribution and almost
convergence of bounded sequences" by Chao You and Bao Qi Feng.
Abstract: In this paper, we give the concepts of properly distributed
and simply distributed sequences, and prove that they are almost
convergent. Basing on these, we review the work of Feng and Li
[Feng, B. Q. and Li, J. L., Some estimations of Banach limits,
J. Math. Anal. Appl. 323(2006) No. 1, 481-496. MR2262220 46B45 (46A45).],
which is shown to be a special case of our generalized theory.
Archive classification: math.FA math.GM
Mathematics Subject Classification: Primary 40G05, 46A35, 54A20;
Secondary 11K36
Remarks: 8 pages
The source file(s),
Ondistributionandalmostconvergenceofboundedsequences.tex: 25039 bytes,
is(are) stored in gzipped form as 0805.3950.gz with size 8kb. The
corresponding postcript file has gzipped size 68kb.
Submitted from: hityou1982 at gmail.com
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0805.3950
or
http://arXiv.org/abs/0805.3950
or by email in unzipped form by transmitting an empty message with
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to: math at arXiv.org.
From alspach at fourier.math.okstate.edu Thu May 29 12:12:38 2008
Return-Path: <alspach at fourier.math.okstate.edu>
X-Original-To: alspach
Delivered-To: alspach at fourier.math.okstate.edu
Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id 8383BD06A5; Thu, 29 May 2008 12:12:38 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Craig Calcaterra and Axel Boldt
Message-Id: <20080529171238.8383BD06A5 at fourier.math.okstate.edu>
Date: Thu, 29 May 2008 12:12:38 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Approximating with Gaussians"
by Craig Calcaterra and Axel Boldt.
Abstract: Linear combinations of translations of a single Gaussian,
e^{-x^2}, are shown to be dense in L^2(R). Two algorithms for determining
the coefficients for the approximations are given, using orthogonal
Hermite functions and least squares. Taking the Fourier transform of
this result shows low-frequency trigonometric series are dense in L^2
with Gaussian weight function.
Archive classification: math.CA math.FA
Mathematics Subject Classification: 41A30; 42A32; 42C10
Remarks: 16 pages, 23 figures
The source file(s), AppGaussArXiv3.tex: 61111 bytes I100.png: 14299
bytes I200.png: 7466 bytes I210.png: 8594 bytes I220.png: 8450 bytes
I230.png: 9254 bytes I240.png: 8799 bytes I250.png: 8967 bytes I300.png:
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I400.png: 10444 bytes I410.png: 10145 bytes I420.png: 9810 bytes I500.png:
10246 bytes I510.png: 10478 bytes I520.png: 11634 bytes I530.png: 11233
bytes I600.png: 10241 bytes I610.png: 11497 bytes, is(are) stored in
gzipped form as 0805.3795.tar.gz with size 202kb. The corresponding
postcript file has gzipped size 279kb.
Submitted from: axel.boldt at metrostate.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0805.3795
or
http://arXiv.org/abs/0805.3795
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to: math at arXiv.org.
From alspach at fourier.math.okstate.edu Tue Jun 3 22:24:16 2008
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id E0BBFD081B; Tue, 3 Jun 2008 22:24:13 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by D. Drivaliaris and N. Yannakakis
Message-Id: <20080604032414.E0BBFD081B at fourier.math.okstate.edu>
Date: Tue, 3 Jun 2008 22:24:13 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Subspaces with a common complement
in a Banach space" by D. Drivaliaris and N. Yannakakis.
Abstract: We study the problem of the existence of a common algebraic
complement for a pair of closed subspaces of a Banach space. We prove
the following two characterizations: (1) The pairs of subspaces of a
Banach space with a common complement coincide with those pairs which
are isomorphic to a pair of graphs of bounded linear operators between
two other Banach spaces. (2) The pairs of subspaces of a Banach space
X with a common complement coincide with those pairs for which there
exists an involution S on X exchanging the two subspaces, such that
I+S is bounded from below on their union. Moreover we show that, in
a separable Hilbert space, the only pairs of subspaces with a common
complement are those which are either equivalently positioned or not
completely asymptotic to one another. We also obtain characterizations
for the existence of a common complement for subspaces with closed sum.
Archive classification: math.FA
Mathematics Subject Classification: 46B20; 46C05; 47A05
Citation: Studia Mathematica 182 (2) (2007), 141-164
The source file(s), common_arxiv.tex: 74237 bytes, is(are) stored in
gzipped form as 0805.4707.gz with size 16kb. The corresponding postcript
file has gzipped size 104kb.
Submitted from: d.drivaliaris at fme.aegean.gr
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0805.4707
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From alspach at fourier.math.okstate.edu Tue Jun 3 22:26:09 2008
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id F122AD081B; Tue, 3 Jun 2008 22:26:07 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by D. Drivaliaris and N. Yannakakis
Message-Id: <20080604032608.F122AD081B at fourier.math.okstate.edu>
Date: Tue, 3 Jun 2008 22:26:07 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Hilbert space structure and
positive operators" by D. Drivaliaris and N. Yannakakis.
Abstract: Let X be a real Banach space. We prove that the existence of an
injective, positive, symmetric and not strictly singular operator from X
into its dual implies that either X admits an equivalent Hilbertian norm
or it contains a nontrivially complemented subspace which is isomorphic
to a Hilbert space. We also treat the non-symmetric case.
Archive classification: math.FA
Mathematics Subject Classification: 46B03; 46C15; 47B99
Citation: Journal of Mathematical Analysis and Applications 305 (2)
(2005),
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0805.4721
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http://arXiv.org/abs/0805.4721
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From alspach at fourier.math.okstate.edu Tue Jun 3 22:28:08 2008
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id 551B3D081B; Tue, 3 Jun 2008 22:28:08 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Markus Biegert
Message-Id: <20080604032808.551B3D081B at fourier.math.okstate.edu>
Date: Tue, 3 Jun 2008 22:28:08 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Lattice homomorphisms between
Sobolev spaces" by Markus Biegert.
Abstract: We show that every vector lattice homomorphism $T$
from $W^{1,p}_0(\Omega_1)$ into $W^{1,q}(\Omega_2)$ for $p,q\in
(1,\infty)$ and open sets \Omega_1,\Omega_2\subset\IR^N$ has a
representation of the form $Tu=(u\circ\xi)g\quad\mbox{ $\Cap_q$-quasi
everywhere on }\Omega_2$ with mappings $\xi:\Omega_2\to\Omega_1$ and
$g:\Omega_2\to[0,\infty)$. This representation follows as an application
of an abstract and more general representation theorem, which can be
applied in many other situations. We prove that every lattice homomorphism
$T$ from $\tsW^{1,p}(\Omega_1)$ into $W^{1,q}(\Omega_2)$ admits a
representation of the form $Tu=(u\circ\xi)g\quad\mbox{ $\Cap_q$-quasi
everywhere on }\Omega_2$ with mappings $\xi:\Omega_2\to\overline\Omega_1$
and $g:\Omega_2\to[0,\infty)$. Here $\tsW^{1,p}(\Omega_1)$ denotes
the closure of $W^{1,p}(\Omega_1)\cap C_c(\overline\Omega_1)$
in $W^{1,p}(\Omega_1)$ and every $u\in\tsW^{1,p}(\Omega_1)$ admits
a trace on the boundary $\partial\Omega_1$ of $\Omega_1$. Finally we
prove that every lattice homomorphism $T$ from $\tsW^{1,p}(\Omega_1)$
into $\tsW^{1,q}(\Omega_2)$ where $\Omega_1$ is bounded has
a representation of the form $Tu=(u\circ\xi)g\quad\mbox{
$\Cap_{q,\Omega_2}$-quasi everywhere on }\overline\Omega_2$
with mappings $\xi:\overline\Omega_2\to\overline\Omega_1$ and
$g:\overline\Omega_2\to[0,\infty)$. At the end of this article we consider
also lattice isomorphisms between Sobolev spaces and the representation
of their inverses.
Archive classification: math.AP math.FA
The source file(s), orderhomomorphism.bbl: 4468 bytes
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0805.4740
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From alspach at fourier.math.okstate.edu Tue Jun 3 22:29:45 2008
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id C5837D081B; Tue, 3 Jun 2008 22:29:45 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Joaquim Martin and Mario Milman
Message-Id: <20080604032945.C5837D081B at fourier.math.okstate.edu>
Date: Tue, 3 Jun 2008 22:29:45 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Isometry and symmetrization for
logarithmic Sobolev inequalities" by Joaquim Martin and Mario Milman.
Abstract: Using isoperimetry and symmetrization we provide a unified
framework to study the classical and logarithmic Sobolev inequalities. In
particular, we obtain new Gaussian symmetrization inequalities and connect
them with logarithmic Sobolev inequalities. Our methods are very general
and can be easily adapted to more general contexts.
Archive classification: math.FA math.AP
The source file(s), Gauss-final-rev.tex: 69485 bytes, is(are) stored in
gzipped form as 0806.0021.gz with size 19kb. The corresponding postcript
file has gzipped size 129kb.
Submitted from: mario.milman at gmail.com
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0806.0021
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http://arXiv.org/abs/0806.0021
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From alspach at fourier.math.okstate.edu Tue Jun 3 22:32:42 2008
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id 98C4AD081B; Tue, 3 Jun 2008 22:32:40 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Hamed Hatami
Message-Id: <20080604033242.98C4AD081B at fourier.math.okstate.edu>
Date: Tue, 3 Jun 2008 22:32:40 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Graph norms and Sidorenko's
conjecture" by Hamed Hatami.
Abstract: Let $H$ and $G$ be two finite graphs. Define $h_H(G)$ to be
the number of homomorphisms from $H$ to $G$. The function $h_H(\cdot)$
extends in a natural way to a function from the set of symmetric
matrices to $\mathbb{R}$ such that for $A_G$, the adjacency matrix of
a graph $G$, we have $h_H(A_G)=h_H(G)$. Let $m$ be the number of edges
of $H$. It is easy to see that when $H$ is the cycle of length $2n$,
then $h_H(\cdot)^{1/m}$ is the $2n$-th Schatten-von Neumann norm. We
investigate a question of Lov\'{a}sz that asks for a characterization
of graphs $H$ for which the function $h_H(\cdot)^{1/m}$ is a norm.
We prove that $h_H(\cdot)^{1/m}$ is a norm if and only if a H\"{o}lder
type inequality holds for $H$. We use this inequality to prove both
positive and negative results, showing that $h_H(\cdot)^{1/m}$ is a norm
for certain classes of graphs, and giving some necessary conditions on the
structure of $H$ when $h_H(\cdot)^{1/m}$ is a norm. As an application we
use the inequality to verify a conjecture of Sidorenko for certain graphs
including hypercubes. In fact for such graphs we can prove statements
that are much stronger than the assertion of Sidorenko's conjecture.
We also investigate the $h_H(\cdot)^{1/m}$ norms from a Banach space
theoretic point of view, determining their moduli of smoothness and
convexity. This generalizes the previously known result for the $2n$-th
Schatten-von Neumann norms.
Archive classification: math.FA math.CO
Mathematics Subject Classification: 46E30; 05C35
Remarks: to appear in Israel Journal of Mathematics
The source file(s), arxiv/normFinal.bbl: 6949 bytes arxiv/normFinal.tex:
57888 bytes arxiv/normFinal.toc: 1082 bytes, is(are) stored in gzipped
form as 0806.0047.tar.gz with size 20kb. The corresponding postcript
file has gzipped size 125kb.
Submitted from: hamed at cs.toronto.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0806.0047
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http://arXiv.org/abs/0806.0047
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From alspach at fourier.math.okstate.edu Tue Jun 3 22:34:36 2008
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id E1E5FD081B; Tue, 3 Jun 2008 22:34:36 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by G. Androulakis and K. Beanland
Message-Id: <20080604033436.E1E5FD081B at fourier.math.okstate.edu>
Date: Tue, 3 Jun 2008 22:34:36 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Descriptive set theoretic methods
applied to strictly singular and strictly cosingular operators" by
G. Androulakis and K. Beanland.
Abstract: The class of strictly singular operators originating from
the dual of a separable Banach space is written as an increasing union
of $\omega_1$ subclasses which are defined using the Schreier sets. A
question of J. Diestel, of whether a similar result can be stated for
strictly cosingular operators, is studied.
Archive classification: math.FA
Mathematics Subject Classification: 47B07, 47A15
The source file(s), AlmostSC.tex: 41247 bytes, is(are) stored in gzipped
form as 0806.0056.gz with size 12kb. The corresponding postcript file
has gzipped size 95kb.
Submitted from: giorgis at math.sc.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0806.0056
or
http://arXiv.org/abs/0806.0056
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From alspach at fourier.math.okstate.edu Tue Jun 3 22:36:28 2008
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id 4351ED081B; Tue, 3 Jun 2008 22:36:28 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by G. Androulakis, S. J. Dilworth, and N. J. Kalton
Message-Id: <20080604033628.4351ED081B at fourier.math.okstate.edu>
Date: Tue, 3 Jun 2008 22:36:28 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "A new approach to the Ramsey-type
games and the Gowers dichotomy in F-spaces" by G. Androulakis,
S. J. Dilworth, and N. J. Kalton.
Abstract: We give a new approach to the Ramsey-type results of Gowers on
block bases in Banach spaces and apply our results to prove the Gowers
dichotomy in F-spaces.
Archive classification: math.FA
Mathematics Subject Classification: 46A16, 91A05, 91A80
The source file(s), AndDilKal.tex: 70671 bytes, is(are) stored in gzipped
form as 0806.0058.gz with size 20kb. The corresponding postcript file
has gzipped size 132kb.
Submitted from: giorgis at math.sc.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0806.0058
or
http://arXiv.org/abs/0806.0058
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uget 0806.0058
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From alspach at fourier.math.okstate.edu Wed Jun 4 07:43:51 2008
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id DBFD3D05E7; Wed, 4 Jun 2008 07:43:51 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Jaegil Kim and Han Ju Lee
Message-Id: <20080604124351.DBFD3D05E7 at fourier.math.okstate.edu>
Date: Wed, 4 Jun 2008 07:43:51 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Strong peak points and strongly
norm attaining points with applications to denseness and polynomial
numerical indices" by Jaegil Kim and Han Ju Lee.
Abstract: Using the variational method, it is shown that the set of
all strong peak functions in a closed algebra $A$ of $C_b(K)$ is dense
if and only if the set of all strong peak points is a norming subset of
$A$. As a corollary we can induce the denseness of strong peak functions
on other certain spaces. In case that a set of uniformly strongly exposed
points of a Banach space $X$ is a norming subset of $\mathcal{P}({}^n X)$,
then the set of all strongly norm attaining elements in $\mathcal{P}({}^n
X)$ is dense. In particular, the set of all points at which the norm of
$\mathcal{P}({}^n X)$ is Fr\'echet differentiable is a dense $G_\delta$
subset.
In the last part, using Reisner's graph theoretic-approach, we
construct some strongly norm attaining polynomials on a CL-space with
an absolute norm. Then we show that for a finite dimensional complex
Banach space $X$ with an absolute norm, its polynomial numerical indices
are one if and only if $X$ is isometric to $\ell_\infty^n$. Moreover,
we give a characterization of the set of all complex extreme points of
the unit ball of a CL-space with an absolute norm.
Archive classification: math.FA math.CO
Mathematics Subject Classification: 46G25; 46B20; 46B22; 52A21; 46B20
The source file(s), graph-June3-08.tex: 54865 bytes, is(are) stored in
gzipped form as 0806.0507.gz with size 15kb. The corresponding postcript
file has gzipped size 117kb.
Submitted from: hahnju at postech.ac.kr
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0806.0507
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http://arXiv.org/abs/0806.0507
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From banach-bounces at math.okstate.edu Tue Jun 17 16:36:00 2008
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Date: Tue, 17 Jun 2008 15:24:59 -0500 (CDT)
From: Bill Johnson <johnson at math.tamu.edu>
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Subject: [Banach] SUMIRFAS 2008
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1st ANNOUNCEMENT OF SUMIRFAS 2008
The Informal Regional Functional Analysis Seminar
August 8 - 10
Texas A&M University, College Station
Schedule: Talks for SUMIRFAS will be posted on the Workshop in Analysis and Probability page, URL
http://www.math.tamu.edu/research/workshops/linanalysis/
The first talk will be in the early afternoon on Friday and the Seminar concludes by lunch time on Sunday. All talks will be in Blocker 165. The Blocker Building is on Ireland St. just south of University Dr. on the Texas A&M campus:
http://www.tamu.edu/map/building/overview/BLOC.html.
Coffee and refreshments will be available in Blocker 155.
Plenary speakers at SUMIRFAS 2008 include Bill Arveson, Nate Brown, Ron DeVore, Nicole Tomczak-Jaegermann, and Elisabeth Werner.
Gideon Schechtman, and Joel Zinn, are organizing a Concentration Week on "Probability Inequalities with Applications to High Dimensional Phenomena" that will take place August 6 - August 10. The first day will be devoted to introductory talks designed to introduce non experts to the subject.
Julien Giol <giol at math.tamu.edu>, David Kerr (chair) <kerr at math.tamu.edu>, and Andrew Toms <atoms at mathstat.yorku.ca> are organizing a Concentration Week on "Operator Algebras, Dynamics, and Classification" which will take place August 4-8. For more information, go to
http://www.math.tamu.edu/~kerr/concweek08.html.
Ron Douglas <rdouglas at math.tamu.edu> and Jaydeb Sarkar <jsarkar at math.tamu.edu> are organizing a Concentration Week on "Multivariate Operator Theory" that will take place July 28 - August 1. For more information, please visit URL http://www.math.tamu.edu/~jsarkar/cowmot.html.
We expect to be able to cover housing for most participants from support the
National Science Foundation has provided for the Workshop. Preference will be
given to participants who do not have other sources of support, such as sponsored
research grants. When you ask Cara to book your room, please tell them if
you are requesting support. Minorities, women, graduate students, and young
researchers are especially encouraged to apply.
For logistical support, please contact Cara Barton, cara at math.tamu.edu. For more information on the Workshop itself, please contact William Johnson, johnson at math.tamu.edu, David Larson, larson at math.tamu.edu, Gilles Pisier, pisier at math.tamu.edu, or Joel Zinn, jzinn at math.tamu.edu. For
information about the Concentration Week on "Probability Inequalities with Applications to High Dimensional Phenomena", please contact Joel Zinn, jzinn at math.tamu.edu.
_______________________________________________
Banach mailing list
Banach at math.okstate.edu
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From alspach at fourier.math.okstate.edu Wed Jun 18 14:56:08 2008
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id 884A4D0809; Wed, 18 Jun 2008 14:56:08 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Vladimir Kadets, Varvara Shepelska and Dirk Werner
Message-Id: <20080618195608.884A4D0809 at fourier.math.okstate.edu>
Date: Wed, 18 Jun 2008 14:56:08 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Quotients of Banach spaces with the
Daugavet property" by Vladimir Kadets, Varvara Shepelska and Dirk Werner.
Abstract: We consider a general concept of Daugavet property with respect
to a norming subspace. This concept covers both the usual Daugavet
property and its weak$^*$ analogue. We introduce and study analogues for
narrow operators and rich subspaces in this general setting and apply the
results to show that a quotient of $L_1[0,1]$ over an $\ell_1$-subspace
can fail the Daugavet property. The latter answers a question posed to
us by A. Pelczynski in the negative.
Archive classification: math.FA
Mathematics Subject Classification: 46B04; 46B25; 47B38
Remarks: 15 pages
The source file(s), dpry_bullpol_june08.tex: 55217 bytes, is(are)
stored in gzipped form as 0806.1815.gz with size 17kb. The corresponding
postcript file has gzipped size 114kb.
Submitted from: werner at math.fu-berlin.de
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0806.1815
or
http://arXiv.org/abs/0806.1815
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From alspach at fourier.math.okstate.edu Tue Jul 1 13:34:37 2008
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id C8A41D0838; Tue, 1 Jul 2008 13:34:36 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Pascal Lefevre, Daniel Li, Herve Queffelec, and Luis Rodriguez-Piazzaa
Message-Id: <20080701183436.C8A41D0838 at fourier.math.okstate.edu>
Date: Tue, 1 Jul 2008 13:34:36 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "A criterion of weak compactness
for operators on subspaces of Orlicz spaces" by Pascal Lefevre, Daniel
Li, Herve Queffelec, and Luis Rodriguez-Piazzaa.
Abstract: To appear in J. Funct. Spaces and Appl.
Archive classification: math.FA
Mathematics Subject Classification: 46E30
Remarks: 18 pages
The source file(s), critere.tex: 40456 bytes, is(are) stored in gzipped
form as 0806.4204.gz with size 13kb. The corresponding postcript file
has gzipped size 97kb.
Submitted from: lefevre at euler.univ-artois.fr
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0806.4204
or
http://arXiv.org/abs/0806.4204
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From alspach at fourier.math.okstate.edu Tue Jul 1 13:37:05 2008
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To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Joel A. Tropp
Message-Id: <20080701183705.8F18ED0838 at fourier.math.okstate.edu>
Date: Tue, 1 Jul 2008 13:37:05 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Column subset selection, matrix
factorization, and eigenvalue optimization" by Joel A. Tropp.
Abstract: Given a fixed matrix, the problem of column subset selection
requests a column submatrix that has favorable spectral properties. Most
research from the algorithms and numerical linear algebra communities
focuses on a variant called rank-revealing {\sf QR}, which seeks a
well-conditioned collection of columns that spans the (numerical) range
of the matrix. The functional analysis literature contains another strand
of work on column selection whose algorithmic implications have not been
explored. In particular, a celebrated result of Bourgain and Tzafriri
demonstrates that each matrix with normalized columns contains a large
column submatrix that is exceptionally well conditioned. Unfortunately,
standard proofs of this result cannot be regarded as algorithmic.
This paper presents a randomized, polynomial-time algorithm that
produces the submatrix promised by Bourgain and Tzafriri. The method
involves random sampling of columns, followed by a matrix factorization
that exposes the well-conditioned subset of columns. This factorization,
which is due to Grothendieck, is regarded as a central tool in modern
functional analysis. The primary novelty in this work is an algorithm,
based on eigenvalue minimization, for constructing the Grothendieck
factorization. These ideas also result in a novel approximation algorithm
for the $(\infty, 1)$ norm of a matrix, which is generally {\sf NP}-hard
to compute exactly. As an added bonus, this work reveals a surprising
connection between matrix factorization and the famous {\sc maxcut}
semidefinite program.
Archive classification: math.NA math.FA
Mathematics Subject Classification: 15A60; 15A23; 65F30; 90C25
Remarks: Conference version
The source file(s), alg.sty: 7607 bytes macro-file.tex: 8456 bytes
subset-selection-soda-v4.bbl: 4536 bytes subset-selection-soda-v4.tex:
88398 bytes, is(are) stored in gzipped %form as 0806.4404.tar.gz with
size 30kb. The corresponding postcript file has gzipped size 109kb.
Submitted from: jtropp at acm.caltech.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0806.4404
or
http://arXiv.org/abs/0806.4404
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From alspach at fourier.math.okstate.edu Tue Jul 1 13:38:22 2008
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id BD44BD0838; Tue, 1 Jul 2008 13:38:22 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Konrad J. Swanepoel
Message-Id: <20080701183822.BD44BD0838 at fourier.math.okstate.edu>
Date: Tue, 1 Jul 2008 13:38:22 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Simultaneous packing and covering
in sequence spaces" by Konrad J. Swanepoel.
Abstract: We adapt a construction of Klee (1981) to find a packing
of unit balls in $\ell_p$ ($1\leq p<\infty$) which is efficient in
the sense that enlarging the radius of each ball to any $R>2^{1-1/p}$
covers the whole space. We show that the value $2^{1-1/p}$ is optimal.
Archive classification: math.MG math.FA
Mathematics Subject Classification: 46B20 (primary), 52C17 (secondary)
Remarks: 5 pages
The source file(s), klee.tex: 14156 bytes, is(are) stored in gzipped
form as 0806.4473.gz with size 5kb. The corresponding postcript file
has gzipped size 92kb.
Submitted from: konrad.swanepoel at gmail.com
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0806.4473
or
http://arXiv.org/abs/0806.4473
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From alspach at fourier.math.okstate.edu Thu Jul 10 15:12:39 2008
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id 5A643D051F; Thu, 10 Jul 2008 15:12:39 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Greg Kuperberg
Message-Id: <20080710201239.5A643D051F at fourier.math.okstate.edu>
Date: Thu, 10 Jul 2008 15:12:39 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "From the Mahler conjecture to
Gauss linking integrals" by Greg Kuperberg.
Abstract: We establish a version of the bottleneck conjecture, which in
turn implies a partial solution to the Mahler conjecture on the product
$v(K) = (\Vol K)(\Vol K^\circ)$ of the volume of a symmetric convex
body $K \in \R^n$ and its polar body $K^\circ$. The Mahler conjecture
asserts that the Mahler volume $v(K)$ is minimized (non-uniquely) when
$K$ is an $n$-cube. The bottleneck conjecture (in its least general
form) asserts that the volume of a certain domain $K^\diamond \subseteq
K \times K^\circ$ is minimized when $K$ is an ellipsoid. It implies
the Mahler conjecture up to a factor of $(\pi/4)^n \gamma_n$, where
$\gamma_n$ is a monotonic factor that begins at $4/\pi$ and converges
to $\sqrt{2}$. This strengthens a result of Bourgain and Milman, who
showed that there is a constant $c$ such that the Mahler conjecture is
true up to a factor of $c^n$.
The proof uses a version of the Gauss linking integral to obtain
a constant lower bound on $\Vol K^\diamond$, with equality when $K$
is an ellipsoid. It applies to a more general conjecture concerning
the join of any two necks of the pseudospheres of an indefinite inner
product space. Because the calculations are similar, we will also
analyze traditional Gauss linking integrals in the sphere $S^{n-1}$
and in hyperbolic space $H^{n-1}$.
Archive classification: math.MG math.DG math.FA
Remarks: 10 pages, 4 figures. Dedicated to my father, on no particular
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math/0610904
or
http://arXiv.org/abs/math/0610904
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From alspach at fourier.math.okstate.edu Thu Jul 10 15:13:37 2008
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id DB3DDD051F; Thu, 10 Jul 2008 15:13:37 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Marisa Zymonopoulou
Message-Id: <20080710201337.DB3DDD051F at fourier.math.okstate.edu>
Date: Thu, 10 Jul 2008 15:13:37 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "The modified complex Busemann-Petty
problem on sections of convex bodies" by Marisa Zymonopoulou.
Abstract: Since the answer to the complex Busemann-Petty problem is
negative in most dimensions, it is natural to ask what conditions on the
(n-1)-dimensional volumes of the central sections of complex convex bodies
with complex hyperplanes allow to compare the n-dimensional volumes. In
this article we give necessary conditions on the section function in
order to obtain an affirmative answer in all dimensions.
Archive classification: math.FA
The source file(s), MCBP.tex: 44421 bytes, is(are) stored in gzipped
form as 0807.0776.gz with size 12kb. The corresponding postcript file
has gzipped size 104kb.
Submitted from: marisa at math.missouri.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0807.0776
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From alspach at fourier.math.okstate.edu Thu Jul 10 15:14:27 2008
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id 36E75D051F; Thu, 10 Jul 2008 15:14:27 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Marisa Zymonopoulou
Message-Id: <20080710201427.36E75D051F at fourier.math.okstate.edu>
Date: Thu, 10 Jul 2008 15:14:27 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "The complex Busemann-Petty problem
for arbitrary measures" by Marisa Zymonopoulou.
Abstract: The complex Busemann-Petty problem asks whether origin symmetric
convex bodies in C^n with smaller central hyperplane sections necessarily
have smaller volume. The answer is affirmative if n\leq 3 and negative
if n\geq 4. In this article we show that the answer remains the same if
the volume is replaced by an "almost" arbitrary measure. This result is
the complex analogue of Zvavitch's generalization to arbitrary measures
of the original real Busemann-Petty problem.
Archive classification: math.FA
The source file(s), CBPGM.tex: 37275 bytes, is(are) stored in gzipped
form as 0807.0779.gz with size 10kb. The corresponding postcript file
has gzipped size 89kb.
Submitted from: marisa at math.missouri.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0807.0779
or
http://arXiv.org/abs/0807.0779
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uget 0807.0779
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From banach-bounces at math.okstate.edu Thu Jul 10 15:09:24 2008
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Date: Thu, 10 Jul 2008 13:35:56 -0500 (CDT)
From: Bill Johnson <johnson at math.tamu.edu>
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Subject: [Banach] SUMIRFAS-2nd announcement
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2nd ANNOUNCEMENT OF SUMIRFAS 2008
The Informal Regional Functional Analysis Seminar
August 8 - 10
Texas A&M University, College Station
Confirmed speakers and titles are given below. The schedule for SUMIRFAS
will be posted on the Workshop in Analysis and Probability page, URL
http://www.math.tamu.edu/research/workshops/linanalysis/
The first talk will be in the early afternoon on Friday and the Seminar
concludes by lunch time on Sunday. All talks will be in Blocker 165. The
Blocker Building is on Ireland St. just south of University Dr. on the
Texas A&M campus:
http://www.tamu.edu/map/building/overview/BLOC.html.
Coffee and refreshments will be available in Blocker 155.
Julien Giol <giol at math.tamu.edu>, David Kerr (chair) <kerr at math.tamu.edu>,
and Andrew Toms <atoms at mathstat.yorku.ca> are organizing a Concentration
Week on "Operator Algebras, Dynamics, and Classification" which will take
place August 4-8. For more information, go to
http://www.math.tamu.edu/~kerr/concweek08.html.
Ron Douglas <rdouglas at math.tamu.edu> and Jaydeb Sarkar
<jsarkar at math.tamu.edu> are organizing a Concentration Week on
"Multivariate Operator Theory" that will take place July 28 - August 1.
For more information, please visit URL
http://www.math.tamu.edu/~jsarkar/cowmot.html.
On Saturday evening there will be a BBQ at the home of Jan and Bill
Johnson.
We expect to be able to cover housing for most participants from support
the
National Science Foundation has provided for the Workshop. Preference will
be
given to participants who do not have other sources of support, such as
sponsored
research grants. When you ask Cara to book your room, please tell them if
you are requesting support. Minorities, women, graduate students, and
young
researchers are especially encouraged to apply.
For logistical support, please contact Cara Barton, cara at math.tamu.edu.
For more information on the Workshop itself, please contact William
Johnson, johnson at math.tamu.edu, David Larson, larson at math.tamu.edu, Gilles
Pisier, pisier at math.tamu.edu, or Joel Zinn, jzinn at math.tamu.edu.
Speakers include:
Bill Arveson, Maximal vectors in Hilbert space and quantum entanglement
Nate Brown, Hilbert modules and the Cuntz semigroup
Marius Dadarlat, Finite dimensional approximations of amenable groups
Ron DeVore, A Taste of Compressed Sensing
Detelin Dosev, Commutators on certain Banach spaces
Constanze Liaw, Singular integrals and rank one perturbations
Timur Oikhberg, The complexity of the complete isomorphism relation
between subspaces of an operator space (joint work with C. Rosendal)
Grigoris Paouris, Small ball probability estimates for log-concave
measures
Chris Phillips, Freeness of actions of finite groups on C*-algebras
Bunyamin Sari, On uniform classification of the direct sums of
$\ell_p$-spaces
Nicole Tomczak-Jaegermann, Random embeddings and other high-dimensional
geometric phenomena
Elisabeth Werner, Orlicz functions and minima and maxima of random
variables
_______________________________________________
Banach mailing list
Banach at math.okstate.edu
https://mail.math.okstate.edu/mailman/listinfo/banach
From alspach at fourier.math.okstate.edu Thu Jul 17 15:03:09 2008
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id 6CE90D0869; Thu, 17 Jul 2008 15:03:08 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by William B. Johnson and Assaf Naor
Message-Id: <20080717200308.6CE90D0869 at fourier.math.okstate.edu>
Date: Thu, 17 Jul 2008 15:03:08 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "The Johnson-Lindenstrauss lemma
almost characterizes Hilbert space, but not quite" by William B. Johnson
and Assaf Naor.
Abstract: Let $X$ be a normed space that satisfies the
Johnson-Lindenstrauss lemma (J-L lemma, in short) in the sense that for
any integer $n$ and any $x_1,\ldots,x_n\in X$ there exists a linear
mapping $L:X\to F$, where $F\subseteq X$ is a linear subspace of
dimension $O(\log n)$, such that $\|x_i-x_j\|\le\|L(x_i)-L(x_j)\|\le
O(1)\cdot\|x_i-x_j\|$ for all $i,j\in \{1,\ldots, n\}$. We show that
this implies that $X$ is almost Euclidean in the following sense:
Every $n$-dimensional subspace of $X$ embeds into Hilbert space with
distortion $2^{2^{O(\log^*n)}}$. On the other hand, we show that there
exists a normed space $Y$ which satisfies the J-L lemma, but for every
$n$ there exists an $n$-dimensional subspace $E_n\subseteq Y$ whose
Euclidean distortion is at least $2^{\Omega(\alpha(n))}$, where $\alpha$
is the inverse Ackermann function.
Archive classification: math.FA math.MG
The source file(s), JL-L3.1.TEX: 43297 bytes, is(are) stored in gzipped
form as 0807.1919.gz with size 14kb. The corresponding postcript file
has gzipped size 74kb.
Submitted from: naor at cims.nyu.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0807.1919
or
http://arXiv.org/abs/0807.1919
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From alspach at fourier.math.okstate.edu Thu Jul 17 15:05:21 2008
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id 1ED5ED0869; Thu, 17 Jul 2008 15:05:21 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Christian Rosendal
Message-Id: <20080717200521.1ED5ED0869 at fourier.math.okstate.edu>
Date: Thu, 17 Jul 2008 15:05:21 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "An exact Ramsey principle for
block sequences" by Christian Rosendal.
Abstract: We prove an exact, i.e., formulated without $\Delta$-expansions,
Ramsey principle for infinite block sequences in vector spaces over
countable fields, where the two sides of the dichotomic principle are
represented by respectively winning strategies in Gowers' block sequence
game and winning strategies in the infinite asymptotic game. This allows
us to recover Gowers' dichotomy theorem for block sequences in normed
vector spaces by a simple application of the basic determinacy theorem
for infinite asymptotic games.
Archive classification: math.FA math.LO
Mathematics Subject Classification: 46B03, 03E15
The source file(s), ExactRamseyPrinciples17submitted.tex: 37130 bytes,
is(are) stored in gzipped form as 0807.2205.gz with size 11kb. The
corresponding postcript file has gzipped size 82kb.
Submitted from: rosendal at math.uiuc.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0807.2205
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http://arXiv.org/abs/0807.2205
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From alspach at fourier.math.okstate.edu Thu Jul 17 15:06:52 2008
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id CDC86D0869; Thu, 17 Jul 2008 15:06:52 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Spiros A. Argyros, Irene Deliyanni, and Andreas G. Tolias
Message-Id: <20080717200652.CDC86D0869 at fourier.math.okstate.edu>
Date: Thu, 17 Jul 2008 15:06:52 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Strictly singular non-compact
diagonal operators on HI spaces" by Spiros A. Argyros, Irene Deliyanni,
and Andreas G. Tolias.
Abstract: We construct a Hereditarily Indecomposable Banach space
$\eqs_d$ with a Schauder basis \seq{e}{n} on which there exist
strictly singular non-compact diagonal operators. Moreover, the space
$\mc{L}_{\diag}(\eqs_d)$ of diagonal operators with respect to the
basis \seq{e}{n} contains an isomorphic copy of $\ell_{\infty}(\N)$.
\end{abstract}
Archive classification: math.FA
Mathematics Subject Classification: 46B28, 46B20, 46B03
The source file(s), diagonal_adt_1.tex: 147103 bytes, is(are) stored in
gzipped form as 0807.2388.gz with size 39kb. The corresponding postcript
file has gzipped size 213kb.
Submitted from: sargyros at math.ntua.gr
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0807.2388
or
http://arXiv.org/abs/0807.2388
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From alspach at fourier.math.okstate.edu Thu Jul 17 15:08:49 2008
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id 33B75D0869; Thu, 17 Jul 2008 15:08:49 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Spiros A. Argyros, Alexander D. Arvanitakis, and Andreas G. Tolias
Message-Id: <20080717200849.33B75D0869 at fourier.math.okstate.edu>
Date: Thu, 17 Jul 2008 15:08:49 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Saturated extensions, the
attractors method and Hereditarily James Tree Space" by Spiros
A. Argyros, Alexander D. Arvanitakis, and Andreas G. Tolias.
Abstract: In the present work we provide a variety of examples of
HI Banach spaces containing no reflexive subspace and we study the
structure of their duals as well as the spaces of their linear bounded
operators. Our approach is based on saturated extensions of ground sets
and the method of attractors.
Archive classification: math.FA
The source file(s), Aat6.tex: 290045 bytes, is(are) stored in gzipped
form as 0807.2392.gz with size 77kb. The corresponding postcript file
has gzipped size 377kb.
Submitted from: sargyros at math.ntua.gr
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0807.2392
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http://arXiv.org/abs/0807.2392
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From alspach at fourier.math.okstate.edu Wed Jul 23 13:07:26 2008
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id 3C446D086E; Wed, 23 Jul 2008 13:07:26 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Anthony Weston
Message-Id: <20080723180726.3C446D086E at fourier.math.okstate.edu>
Date: Wed, 23 Jul 2008 13:07:26 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Optimal lower bounds on the
maximal p-negative type of finite metric spaces" by Anthony Weston.
Abstract: This article derives lower bounds on the supremal (strict)
p-negative type of finite metric spaces using purely elementary
techniques. The bounds depend only on the cardinality and the (scaled)
diameter of the underlying finite metric space. Examples show that
these lower bounds can easily be best possible under clearly delineated
circumstances. We further point out that the entire theory holds (more
generally) for finite semi-metric spaces without modification and wherein
the lower bounds are always optimal.
Archive classification: math.FA math.MG
Mathematics Subject Classification: 46B20
Remarks: 10 pages
The source file(s), Gap.tex: 36066 bytes, is(are) stored in gzipped
form as 0807.2705.gz with size 11kb. The corresponding postcript file
has gzipped size 95kb.
Submitted from: westona at canisius.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0807.2705
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http://arXiv.org/abs/0807.2705
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From alspach at fourier.math.okstate.edu Wed Jul 23 13:08:01 2008
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id 1F1CED086E; Wed, 23 Jul 2008 13:08:01 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Hermann Pfitzner
Message-Id: <20080723180801.1F1CED086E at fourier.math.okstate.edu>
Date: Wed, 23 Jul 2008 13:08:01 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Boundaries for Banach spaces
determine weak compactness" by Hermann Pfitzner.
Abstract: A boundary for a Banach space is a subset of the dual unit
sphere with the property that each element of the Banach space attains its
norm on an element of that boundary. Trivially, the pointwise convergence
with respect to such a boundary is coarser than the weak topology on the
Banach space. Godefroy's Boundary Problem asks whether nevertheless both
topologies have the same bounded compact sets. This paper contains the
answer in the positive.
Archive classification: math.FA
Mathematics Subject Classification: 46B20
The source file(s), boundary.tex: 30948 bytes, is(are) stored in gzipped
form as 0807.2810.gz with size 10kb. The corresponding postcript file
has gzipped size 76kb.
Submitted from: Hermann.Pfitzner at univ-orleans.fr
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0807.2810
or
http://arXiv.org/abs/0807.2810
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From alspach at fourier.math.okstate.edu Wed Jul 23 13:09:32 2008
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id B66D7D086E; Wed, 23 Jul 2008 13:09:32 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by T. P. Hyt\"onen, J. L. Torrea, and D. V. Yakubovich
Message-Id: <20080723180932.B66D7D086E at fourier.math.okstate.edu>
Date: Wed, 23 Jul 2008 13:09:32 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "The Littlewood--Paley--Rubio
de Francia property of a Banach space for the case of equal intervals"
by T. P. Hyt\"onen, J. L. Torrea, and D. V. Yakubovich.
Abstract: Let $X$ be a Banach space. It is proved that an analogue of the
Rubio de Francia square function estimate for partial sums of the Fourier
series of $X$-valued functions holds true for all disjoint collections of
subintervals of the set of integers of equal length and for all exponents
$p$ greater or equal than 2 if and only if the space $X$ is a UMD space
of type 2. The same criterion is obtained for the case of subintervals
of the real line and Fourier integrals instead of Fourier series.
Archive classification: math.FA
Mathematics Subject Classification: 42Bxx; 46B20
Remarks: To appear in The Royal Society of Edinburgh Proc. A (Mathematics)
The source file(s), lpr-equal_v6_arx.tex: 41797 bytes, is(are) stored in
gzipped form as 0807.2981.gz with size 14kb. The corresponding postcript
file has gzipped size 97kb.
Submitted from: dmitry.yakubovich at uam.es
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0807.2981
or
http://arXiv.org/abs/0807.2981
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From alspach at fourier.math.okstate.edu Wed Jul 23 13:10:15 2008
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id 2C445D086E; Wed, 23 Jul 2008 13:10:15 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Alexey I. Popov and Vladimir G. Troitsky
Message-Id: <20080723181015.2C445D086E at fourier.math.okstate.edu>
Date: Wed, 23 Jul 2008 13:10:15 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "A version of Lomonosov's theorem
for collections of positive operators" by Alexey I. Popov and Vladimir
G. Troitsky.
Abstract: It is known that for every Banach space X and every proper
WOT-closed subalgebra A of L(X), if A contains a compact operator then
it is not transitive. That is, there exist non-zero x in X and f in X*
such that f(Tx)=0 for all T in A. In the case of algebras of adjoint
operators on a dual Banach space, V.Lomonosov extended this as follows:
without having a compact operator in the algebra, |f(Tx)| is less than
or equal to the essential norm of the pre-adjoint operator T_* for all
T in A. In this paper, we prove a similar extension (in case of adjoint
operators) of a result of R.Drnovsek. Namely, we prove that if C is a
collection of positive adjoint operators on a Banach lattice X satisfying
certain conditions, then there exist non-zero positive x in X and f in
X* such that f(Tx) is less than or equal to the essential norm of T_*
for all T in C.
Archive classification: math.FA math.OA
Mathematics Subject Classification: 47B65; 47A15
The source file(s), lom-drnov.tex: 31715 bytes, is(are) stored in gzipped
form as 0807.3327.gz with size 10kb. The corresponding postcript file
has gzipped size 86kb.
Submitted from: vtroitsky at math.ualberta.ca
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0807.3327
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http://arXiv.org/abs/0807.3327
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From alspach at fourier.math.okstate.edu Fri Aug 1 15:46:06 2008
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id B9124D084F; Fri, 1 Aug 2008 15:46:05 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Jesus Araujo and Luis Dubarbie
Message-Id: <20080801204605.B9124D084F at fourier.math.okstate.edu>
Date: Fri, 1 Aug 2008 15:46:05 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Biseparating maps between Lipschitz
function spaces" by Jesus Araujo and Luis Dubarbie.
Abstract: For complete metric spaces $X$ and $Y$, a description of linear
biseparating maps between spaces of vector-valued Lipschitz functions
defined on $X$ and $Y$ is provided. In particular it is proved that $X$
and $Y$ are bi-Lipschitz homeomorphic, and the automatic continuity of
such maps is derived in some cases. Besides, these results are used to
characterize the separating bijections between scalar-valued Lipschitz
function spaces when $Y$ is compact.
Archive classification: math.FA
Mathematics Subject Classification: Primary 47B38; Secondary 46E40,
46H40, 47B33
Remarks: 17 pages; no figures
The source file(s), lipschitz86.tex: 48992 bytes, is(are) stored in
gzipped form as 0807.3835.gz with size 14kb. The corresponding postcript
file has gzipped size 106kb.
Submitted from: araujoj at unican.es
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0807.3835
or
http://arXiv.org/abs/0807.3835
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From alspach at fourier.math.okstate.edu Fri Aug 1 15:47:25 2008
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id 97B06D084F; Fri, 1 Aug 2008 15:47:23 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Daniel Carando, Veronica Dimant and Pablo Sevilla-Peris
Message-Id: <20080801204724.97B06D084F at fourier.math.okstate.edu>
Date: Fri, 1 Aug 2008 15:47:23 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Multilinear Holder-type
inequalities on Lorentz sequence spaces" by Daniel Carando, Veronica
Dimant and Pablo Sevilla-Peris.
Abstract: We establish H\"older type inequalities for Lorentz sequence
spaces and their duals. In order to achieve these and some related
inequalities, we study diagonal multilinear forms in general sequence
spaces, and obtain estimates for their norms. We also consider norms of
multilinear forms in different Banach multilinear ideals.
Archive classification: math.FA
Mathematics Subject Classification: 46A46, 46B45
The source file(s), CarandoDimantSevilla.tex: 59626 bytes, is(are)
stored in gzipped form as 0807.4392.gz with size 18kb. The corresponding
postcript file has gzipped size 122kb.
Submitted from: dcarando at dm.uba.ar
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0807.4392
or
http://arXiv.org/abs/0807.4392
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From alspach at fourier.math.okstate.edu Wed Aug 13 13:45:41 2008
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id 2CA84D06AE; Wed, 13 Aug 2008 13:45:40 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Pawel Mleczko
Message-Id: <20080813184541.2CA84D06AE at fourier.math.okstate.edu>
Date: Wed, 13 Aug 2008 13:45:40 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Compact multipliers on spaces of
analytic functions" by Pawel Mleczko.
Abstract: In the paper compact multiplier operators on Banach spaces
of analytic functions on the unit disk with the range in Banach
sequence lattices are studied. If the domain space $X$ is such
that $H_\infty\hookrightarrow X\hookrightarrow H_1$, necessary and
sufficient conditions for compactness are presented. Moreover, the
calculation of the Hausdorff measure of noncompactness for diagonal
operators between Banach sequence lattices is applied to obtaining the
characterization of compact multipliers in case the domain space $X$
satisfies $H_\infty\hookrightarrow X\hookrightarrow H_2$.
Archive classification: math.FA math.CV
Mathematics Subject Classification: 42B15, 42B30, 46E05, 7B10
The source file(s), comp-multi.tex: 26131 bytes, is(are) stored in
gzipped form as 0808.1359.gz with size 9kb. The corresponding postcript
file has gzipped size 82kb.
Submitted from: pml at amu.edu.pl
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0808.1359
or
http://arXiv.org/abs/0808.1359
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From alspach at fourier.math.okstate.edu Wed Aug 13 13:46:35 2008
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id 02000D06AE; Wed, 13 Aug 2008 13:46:34 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Guido Gherardi and Alberto Marcone
Message-Id: <20080813184635.02000D06AE at fourier.math.okstate.edu>
Date: Wed, 13 Aug 2008 13:46:34 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "How much incomputable is the
separable Hahn-Banach theorem?" by Guido Gherardi and Alberto Marcone.
Abstract: We determine the computational complexity of the Hahn-Banach
Extension Theorem. To do so, we investigate some basic connections between
reverse mathematics and computable analysis. In particular, we use Weak
Konig's Lemma within the framework of computable analysis to classify
incomputable functions of low complexity. By defining the multi-valued
function Sep and a natural notion of reducibility for multi-valued
functions, we obtain a computational counterpart of the subsystem of
second order arithmetic WKL_0. We study analogies and differences between
WKL_0 and the class of Sep-computable multi-valued functions. Extending
work of Brattka, we show that a natural multi-valued function associated
with the Hahn-Banach Extension Theorem is Sep-complete.
Archive classification: math.LO math.FA
Mathematics Subject Classification: 03F60 (Primary) 03B30, 46A22, 46S30
(Secondary)
The source file(s), HahnBanach.tex: 106451 bytes, is(are) stored in
gzipped form as 0808.1663.gz with size 32kb. The corresponding postcript
file has gzipped size 149kb.
Submitted from: alberto.marcone at dimi.uniud.it
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0808.1663
or
http://arXiv.org/abs/0808.1663
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From alspach at fourier.math.okstate.edu Fri Aug 29 09:30:25 2008
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id 711EAD0879; Fri, 29 Aug 2008 09:30:25 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Denis Potapov and Fyodor Sukochev
Message-Id: <20080829143025.711EAD0879 at fourier.math.okstate.edu>
Date: Fri, 29 Aug 2008 09:30:25 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "The Haar system in the preduals
of hyperfinite factors" by Denis Potapov and Fyodor Sukochev.
Abstract: We shall present examples of Schauder bases in the preduals
to the hyperfinite factors of types~$\hbox{II}_1$, $\hbox{II}_\infty$,
$\hbox{III}_\lambda$, $0 < \lambda \leq 1$. In the semifinite
(respectively, purely infinite) setting, these systems form Schauder
bases in any associated separable symmetric space of measurable operators
(respectively, in any non-commutative $L^p$-space).
Archive classification: math.FA
Remarks: 18 pages
The source file(s), haar_III_lambda.tex: 68404 bytes, is(are) stored in
gzipped form as 0808.2851.gz with size 20kb. The corresponding postcript
file has gzipped size 97kb.
Submitted from: denis.potapov at flinders.edu.au
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0808.2851
or
http://arXiv.org/abs/0808.2851
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From alspach at fourier.math.okstate.edu Fri Aug 29 09:31:38 2008
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id DC947D0879; Fri, 29 Aug 2008 09:31:38 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Jeff Cheeger and Bruce Kleiner
Message-Id: <20080829143138.DC947D0879 at fourier.math.okstate.edu>
Date: Fri, 29 Aug 2008 09:31:38 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Differentiability of Lipschitz
maps from metric measure spaces to Banach spaces with the Radon Nikodym
property" by Jeff Cheeger and Bruce Kleiner.
Abstract: We prove the differentiability of Lipschitz maps X---->V, where
X is a complete metric measure space satisfying a doubling condition
and a Poincar\'e inequality, and V is a Banach space with the Radon
Nikodym Property (RNP). The proof depends on a new characterization of
the differentiable structure on such metric measure spaces, in terms of
directional derivatives in the direction of tangent vectors to suitable
rectifiable curves.
Archive classification: math.MG math.DG math.FA
Mathematics Subject Classification: 46B22 (primary), 46G05 (secondary)
The source file(s), pirnp.bbl: 3004 bytes
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0808.3249
or
http://arXiv.org/abs/0808.3249
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From alspach at fourier.math.okstate.edu Fri Sep 12 16:56:32 2008
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id 67D1AD090A; Fri, 12 Sep 2008 16:56:32 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Yauhen Radyna and Anna Sidorik
Message-Id: <20080912215632.67D1AD090A at fourier.math.okstate.edu>
Date: Fri, 12 Sep 2008 16:56:32 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Fourier transform of function
on locally compact Abelian groups taking values in Banach spaces"
by Yauhen Radyna and Anna Sidorik.
Abstract: We consider Fourier transform of vector-valued functions on a
locally compact group $G$, which take value in a Banach space $X$, and
are square-integrable in Bochner sense. If $G$ is a finite group then
Fourier transform is a bounded operator. If $G$ is an infinite group
then Fourier transform $F: L_2(G,X)\to L_2(\widehat G,X)$ is a bounded
operator if and only if Banach space $X$ is isomorphic to a Hilbert one.
Archive classification: math.FA
Mathematics Subject Classification: 46C15, 43A25
Remarks: 9 pages
The source file(s), Radyna_YM_Sidorik_AG_eng.tex: 30387 bytes, is(are)
stored in gzipped form as 0808.4009.gz with size 10kb. The corresponding
postcript file has gzipped size 89kb.
Submitted from: yauhen.radyna at gmail.com
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0808.4009
or
http://arXiv.org/abs/0808.4009
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From alspach at fourier.math.okstate.edu Fri Sep 12 16:58:05 2008
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id D1B45D090A; Fri, 12 Sep 2008 16:58:05 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Zoltan Kannai
Message-Id: <20080912215805.D1B45D090A at fourier.math.okstate.edu>
Date: Fri, 12 Sep 2008 16:58:05 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Uniform convergence for
convexification of dominated pointwise convergent continuous functions"
by Zoltan Kannai.
Abstract: The Lebesgue dominated convergence theorem of the measure
theory implies that the Riemann integral of a bounded sequence of
continuous functions over the interval [ 0,1] pointwise converging
to zero, also converges to zero. The validity of this result is
independent of measure theory, on the other hand, this result together
with only elementary functional analysis, can generate measure theory
itself. The mentioned result was also known before the appearance of
measure theory, but the original proof was very complicated. For this
reason this result, when presented in teaching, is generally obtained
based on measure theory. Later, Eberlein gave an elementary, but still
relatively complicated proof, and there were other simpler proofs but
burdened with complicated concepts, like measure theory. In this paper
we give a short and elementary proof even for the following strenghened
form of the mentioned result: a bounded sequence of continuous functions
defined on a compact topological space K pointwise converging to zero,
has a suitable convexification converging also uniformly to zero on $K,$
thus, e.g., the original sequence converges weakly to zero in C(K). This
fact can also be used in the proof of the Krein-Smulian theorem. The
usual proof beyond the simple tools of the functional analysis, uses
heavy embedding theorems and the Riesz' representation theorem with the
whole apparatus of measure theory. Our main result, however, reduces
the cited proof to a form in which we need abstract tools only, namely
the Hahn-Banach separation theorem and Alaoglu's theorem, without Riesz'
representation or any statement of measure theory.
Archive classification: math.FA
The source file(s), pointwise.tex: 12973 bytes, is(are) stored in gzipped
form as 0809.0393.gz with size 4kb. The corresponding postcript file
has gzipped size 48kb.
Submitted from: kannai at uni-corvinus.hu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0809.0393
or
http://arXiv.org/abs/0809.0393
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From alspach at fourier.math.okstate.edu Fri Sep 12 16:58:53 2008
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id 55905D090A; Fri, 12 Sep 2008 16:58:53 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Fulvio Ricci and Joan Verdera
Message-Id: <20080912215853.55905D090A at fourier.math.okstate.edu>
Date: Fri, 12 Sep 2008 16:58:53 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Duality in spaces of finite linear
combinations of atoms" by Fulvio Ricci and Joan Verdera.
Abstract: In this note we describe the dual and the completion of the
space of finite linear combinations of $(p,\infty)$-atoms, $0<p\leq 1$
on ${\mathbb R}^n$. As an application, we show an extension result for
operators uniformly bounded on $(p,\infty)$-atoms, $0<p < 1$, whose
analogue for $p=1$ is known to be false. Let $0 < p <1$ and let $T$
be a linear operator defined on the space of finite linear combinations
of $(p,\infty)$-atoms, $0<p < 1 $, which takes values in a Banach space
$B$. If $T$ is uniformly bounded on $(p,\infty)$-atoms, then $T$ extends
to a bounded operator from $H^p({\mathbb R}^n)$ into $B$.
Archive classification: math.FA
Mathematics Subject Classification: 42B30
Remarks: 15 pages
The source file(s), atoms.tex: 40423 bytes, is(are) stored in gzipped
form as 0809.1719.gz with size 14kb. The corresponding postcript file
has gzipped size 101kb.
Submitted from: fricci at sns.it
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0809.1719
or
http://arXiv.org/abs/0809.1719
or by email in unzipped form by transmitting an empty message with
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From alspach at fourier.math.okstate.edu Fri Sep 12 16:59:50 2008
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id F1DB4D090A; Fri, 12 Sep 2008 16:59:49 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Jarno Talponen
Message-Id: <20080912215949.F1DB4D090A at fourier.math.okstate.edu>
Date: Fri, 12 Sep 2008 16:59:49 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Special symmetries of Banach
spaces isomorphic to Hilbert spaces" by Jarno Talponen.
Abstract: In this paper Hilbert spaces are characterized among Banach
spaces in terms of transitivity with respect to nicely behaved subgroups
of the isometry group. For example, the following result is typical
here: If X is a real Banach space isomorphic to a Hilbert space and
convex-transitive with respect to the isometric finite-dimensional
perturbations of the identity, then X is already isometric to a Hilbert
space.
Archive classification: math.FA
Mathematics Subject Classification: 46C15; 46B04
The source file(s), SSNSb.tex: 30955 bytes, is(are) stored in gzipped
form as 0809.1789.gz with size 9kb. The corresponding postcript file
has gzipped size 74kb.
Submitted from: talponen at cc.helsinki.fi
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0809.1789
or
http://arXiv.org/abs/0809.1789
or by email in unzipped form by transmitting an empty message with
subject line
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From alspach at fourier.math.okstate.edu Fri Sep 12 17:00:35 2008
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X-Original-To: alspach
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id 30730D090A; Fri, 12 Sep 2008 17:00:35 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Ioannis Gasparis
Message-Id: <20080912220035.30730D090A at fourier.math.okstate.edu>
Date: Fri, 12 Sep 2008 17:00:35 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "New examples of $c_0$-saturated
Banach spaces" by Ioannis Gasparis.
Abstract: For every $ 1 < p < \infty $ an isomorphically polyhedral
Banach space $E_p$ is constructed having an unconditional basis and
admitting a quotient isomorphic to $\ell_p$. It is also shown that $E_p$
is not isomorphic to a subspace of a $C(K)$ space for every countable
and compact metric space $K$.
Archive classification: math.FA
Mathematics Subject Classification: 46B03
The source file(s), satur.tex: 82312 bytes, is(are) stored in gzipped
form as 0809.1808.gz with size 22kb. The corresponding postcript file
has gzipped size 143kb.
Submitted from: ioagaspa at math.auth.gr
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0809.1808
or
http://arXiv.org/abs/0809.1808
or by email in unzipped form by transmitting an empty message with
subject line
uget 0809.1808
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to: math at arXiv.org.
From alspach at fourier.math.okstate.edu Fri Sep 12 17:01:14 2008
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X-Original-To: alspach
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Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id E1250D090A; Fri, 12 Sep 2008 17:01:14 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Ioannis Gasparis
Message-Id: <20080912220114.E1250D090A at fourier.math.okstate.edu>
Date: Fri, 12 Sep 2008 17:01:14 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "New examples of $c_0$-saturated
Banach spaces II" by Ioannis Gasparis.
Abstract: For every Banach space $Z$ with a shrinking unconditional
basis satisfying upper $p$-estimates for some $p > 1$, an isomorphically
polyhedral Banach space is constructed having an unconditional basis
and admitting a quotient isomorphic to $Z$.
Archive classification: math.FA
Mathematics Subject Classification: 46B03
The source file(s), satur2.tex: 36833 bytes, is(are) stored in gzipped
form as 0809.1815.gz with size 11kb. The corresponding postcript file
has gzipped size 93kb.
Submitted from: ioagaspa at math.auth.gr
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0809.1815
or
http://arXiv.org/abs/0809.1815
or by email in unzipped form by transmitting an empty message with
subject line
uget 0809.1815
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to: math at arXiv.org.
From alspach at fourier.math.okstate.edu Fri Sep 12 17:07:13 2008
Return-Path: <alspach at fourier.math.okstate.edu>
X-Original-To: alspach
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id E1D0AD090A; Fri, 12 Sep 2008 17:07:13 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Christoph Haberl and Franz E. Schuster
Message-Id: <20080912220713.E1D0AD090A at fourier.math.okstate.edu>
Date: Fri, 12 Sep 2008 17:07:13 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "General Lp affine isoperimetric
inequalities" by Christoph Haberl and Franz E. Schuster.
Abstract: Sharp Lp affine isoperimetric inequalities are established
for the entire class of Lp projection bodies and the entire class of Lp
centroid bodies. These new inequalities strengthen the Lp Petty projection
and the Lp Busemann--Petty centroid inequality.
Archive classification: math.DG math.FA
Mathematics Subject Classification: 52A40; 52A39
The source file(s), Lpaffine.tex: 76896 bytes, is(are) stored in gzipped
form as 0809.1995.gz with size 20kb. The corresponding postcript file
has gzipped size 116kb.
Submitted from: franz.schuster at tuwien.ac.at
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0809.1995
or
http://arXiv.org/abs/0809.1995
or by email in unzipped form by transmitting an empty message with
subject line
uget 0809.1995
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From alspach at fourier.math.okstate.edu Mon Sep 22 13:26:53 2008
Return-Path: <alspach at fourier.math.okstate.edu>
X-Original-To: alspach
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id 326ABD091F; Mon, 22 Sep 2008 13:26:53 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Antonio Aviles, Vladimir Kadets, Miguel Martin, Javier Meri, and Varvara Shepelska
Message-Id: <20080922182653.326ABD091F at fourier.math.okstate.edu>
Date: Mon, 22 Sep 2008 13:26:53 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Slicely countably determined
Banach spaces. Applications to the Daugavet and the alternative Daugavet
equations" by Antonio Aviles, Vladimir Kadets, Miguel Martin, Javier Meri,
and Varvara Shepelska.
Abstract: We introduce the class of slicely countably determined Banach
spaces which contains in particular all spaces with the RNP and all
spaces without copies of $\ell_1$. We present many examples and several
properties of this class. We give some applications to Banach spaces with
the Daugavet and the alternative Daugavet properties, lush spaces and
Banach spaces with numerical index $1$. In particular, we show that the
dual of a real infinite-dimensional Banach with the alternative Daugavet
property contains $\ell_1$ and that operators which do not fix copies
of $\ell_1$ on a space with the alternative Daugavet property satisfy
the alternative Daugavet equation.
Archive classification: math.FA
Mathematics Subject Classification: Primary 46B20. Secondary 46B03,
46B04, 46B22, 47A12
The source file(s), AvilesKadetsMartinMeriShepelska.tex: 107489 bytes,
is(are) stored in gzipped form as 0809.2723.gz with size 30kb. The
corresponding postcript file has gzipped size 172kb.
Submitted from: mmartins at ugr.es
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0809.2723
or
http://arXiv.org/abs/0809.2723
or by email in unzipped form by transmitting an empty message with
subject line
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From alspach at fourier.math.okstate.edu Mon Sep 22 13:27:40 2008
Return-Path: <alspach at fourier.math.okstate.edu>
X-Original-To: alspach
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Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id 6BEC1D091F; Mon, 22 Sep 2008 13:27:40 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by S. R. Cowell and N. J. Kalton
Message-Id: <20080922182740.6BEC1D091F at fourier.math.okstate.edu>
Date: Mon, 22 Sep 2008 13:27:40 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Asymptotic unconditionality"
by S. R. Cowell and N. J. Kalton.
Abstract: We show that a separable real Banach space embeds almost
isometrically in a space $Y$ with a shrinking 1-unconditional basis if
and only if $\lim_{n \to \infty} \|x^* + x_n^*\| = \lim_{n \to \infty}
\|x^* - x_n^*\|$ whenever $x^* \in X^*$, $(x_n^*)$ is a weak$^*$-null
sequence and both limits exist. If $X$ is reflexive then $Y$ can be
assumed reflexive. These results provide the isometric counterparts of
recent work of Johnson and Zheng.
Archive classification: math.FA
Mathematics Subject Classification: 46B03; 46B20
Remarks: 26 pages. Submitted for publication. This is a replacement
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0809.2294
or
http://arXiv.org/abs/0809.2294
or by email in unzipped form by transmitting an empty message with
subject line
uget 0809.2294
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to: math at arXiv.org.
From alspach at fourier.math.okstate.edu Mon Sep 22 13:28:17 2008
Return-Path: <alspach at fourier.math.okstate.edu>
X-Original-To: alspach
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Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id 762DCD091F; Mon, 22 Sep 2008 13:28:17 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Detelin Dosev
Message-Id: <20080922182817.762DCD091F at fourier.math.okstate.edu>
Date: Mon, 22 Sep 2008 13:28:17 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Commutators on $\ell_1$" by
Detelin Dosev.
Abstract: The main result is that the commutators on $\ell_1$ are
the operators not of the form $\lambda I + K$ with $\lambda\neq
0$ and $K$ compact. We generalize Apostol's technique (1972,
Rev. Roum. Math. Appl. 17) to obtain this result and use this
generalization to obtain partial results about the commutators on
spaces $\X$ which can be represented as $\displaystyle \X\simeq \left
( \bigoplus_{i=0}^{\infty} \X\right)_{p}$ for some $1\leq p<\infty$
or $p=0$. In particular, it is shown that every compact operator
on $L_1$ is a commutator. A characterization of the commutators on
$\ell_{p_1}\oplus\ell_{p_2}\oplus\cdots\oplus\ell_{p_n}$ is given. We
also show that strictly singular operators on $\linf$ are commutators.
Archive classification: math.FA
Mathematics Subject Classification: 47B47
Remarks: 17 pages. Submitted to the Journal of Functional Analysis
The source file(s), Commutators_l1.tex: 58728 bytes, is(are) stored in
gzipped form as 0809.3047.gz with size 16kb. The corresponding postcript
file has gzipped size 110kb.
Submitted from: ddosev at gmail.com
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0809.3047
or
http://arXiv.org/abs/0809.3047
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From alspach at fourier.math.okstate.edu Mon Sep 22 13:29:14 2008
Return-Path: <alspach at fourier.math.okstate.edu>
X-Original-To: alspach
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Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id 9D707D091F; Mon, 22 Sep 2008 13:29:14 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Tuomas Hytonen
Message-Id: <20080922182914.9D707D091F at fourier.math.okstate.edu>
Date: Mon, 22 Sep 2008 13:29:14 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "The vector-valued non-homogeneous
Tb theorem" by Tuomas Hytonen.
Abstract: The paper gives a Banach space-valued extension of the ``\(Tb\)
theorem'' of Nazarov, Treil and Volberg (2003) concerning the boundedness
of singular integral operators with respect to a measure \(\mu\),
which only satisfies an upper control on the size of balls. Under the
same assumptions as in their result, such operators are shown to be
bounded on the Bochner spaces \(L^p(\mu;X)\) of functions with values
in \(X\) --- a Banach space with the unconditionality property of
martingale differences (UMD) and a certain maximal function property,
which holds for all typical examples of UMD spaces. The new proof deals
directly with all \(p\in(1,\infty)\) and relies on delicate estimates
for the non-homogenous ``Haar'' functions, as well as McConnell's (1989)
decoupling inequality for tangent martingale differences.
Archive classification: math.FA math.CA
Mathematics Subject Classification: 42B20;42B25; 46B09; 46E40; 60G46
Remarks: 40 pages, submitted for publication
The source file(s), nonhomog.tex: 143196 bytes, is(are) stored in gzipped
form as 0809.3097.gz with size 39kb. The corresponding postcript file
has gzipped size 209kb.
Submitted from: tuomas.hytonen at helsinki.fi
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0809.3097
or
http://arXiv.org/abs/0809.3097
or by email in unzipped form by transmitting an empty message with
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From alspach at fourier.math.okstate.edu Mon Sep 29 12:25:07 2008
Return-Path: <alspach at fourier.math.okstate.edu>
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Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id 8324FD086A; Mon, 29 Sep 2008 12:25:07 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by D. Freeman, E. Odell, Th. Schlumprecht, and A. Zsak
Message-Id: <20080929172507.8324FD086A at fourier.math.okstate.edu>
Date: Mon, 29 Sep 2008 12:25:07 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Banach spaces of bounded Szlenk
index II" by D. Freeman, E. Odell, Th. Schlumprecht, and A. Zsak.
Abstract: For every $\alpha<\omega_1$ we establish the existence of a
separable Banach space whose Szlenk index is $\omega^{\alpha\omega+1}$
and which is universal for all separable Banach spaces whose Szlenk-index
does not exceed $\omega^{\alpha\omega}$. In order to prove that result
we provide an intrinsic characterization of which Banach spaces embed
into a space admitting an FDD with upper estimates.
Archive classification: math.FA math.AG
Mathematics Subject Classification: 46B20, 54H05
The source file(s), szlenkII_new.tex: 57543 bytes, is(are) stored in
gzipped form as 0809.3626.gz with size 17kb. The corresponding postcript
file has gzipped size 122kb.
Submitted from: schlump at math.tamu.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0809.3626
or
http://arXiv.org/abs/0809.3626
or by email in unzipped form by transmitting an empty message with
subject line
uget 0809.3626
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to: math at arXiv.org.
From alspach at fourier.math.okstate.edu Mon Sep 29 12:25:55 2008
Return-Path: <alspach at fourier.math.okstate.edu>
X-Original-To: alspach
Delivered-To: alspach at fourier.math.okstate.edu
Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id 03F72D086A; Mon, 29 Sep 2008 12:25:54 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Miguel Martin
Message-Id: <20080929172555.03F72D086A at fourier.math.okstate.edu>
Date: Mon, 29 Sep 2008 12:25:54 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "The group of isometries of a
Banach space and duality" by Miguel Martin.
Abstract: We construct an example of a real Banach space whose group
of surjective isometries has no uniformly continuous one-parameter
semigroups, but the group of surjective isometries of its dual contains
infinitely many of them. Other examples concerning numerical index,
hermitian operators and dissipative operators are also shown.
Archive classification: math.FA
Mathematics Subject Classification: Primary: 46B04. Secondary: 46B10,
46E15, 47A12
Remarks: To appear in J. Funct. Anal.
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0809.3644
or
http://arXiv.org/abs/0809.3644
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subject line
uget 0809.3644
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From alspach at fourier.math.okstate.edu Mon Sep 29 12:26:33 2008
Return-Path: <alspach at fourier.math.okstate.edu>
X-Original-To: alspach
Delivered-To: alspach at fourier.math.okstate.edu
Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id 70FCED086A; Mon, 29 Sep 2008 12:26:33 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Geraldo Botelho and Daniel Pellegrino
Message-Id: <20080929172633.70FCED086A at fourier.math.okstate.edu>
Date: Mon, 29 Sep 2008 12:26:33 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Coincidences for multiple summing
mappings" by Geraldo Botelho and Daniel Pellegrino.
Abstract: In this note we prove new coincidence results for multiple
summing mappings, related to the cotypes of the Banach spaces involved.
Archive classification: math.FA
Remarks: 3 pages, to appear in the resumes of the meeting ENAMA, Second
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0809.4171
or
http://arXiv.org/abs/0809.4171
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From alspach at fourier.math.okstate.edu Mon Sep 29 12:27:13 2008
Return-Path: <alspach at fourier.math.okstate.edu>
X-Original-To: alspach
Delivered-To: alspach at fourier.math.okstate.edu
Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id 5DEB2D086A; Mon, 29 Sep 2008 12:27:13 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by George Androulakis and Antoine Flattot
Message-Id: <20080929172713.5DEB2D086A at fourier.math.okstate.edu>
Date: Mon, 29 Sep 2008 12:27:13 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Hyperinvariant subspace for
weighted composition operator on $L^p([0,1]^d)$" by George Androulakis
and Antoine Flattot.
Abstract: The main result of this paper is the existence of a
hyperinvariant subspace of weighted composition operator $Tf=vf\circ\tau$
on $L^p([0,1]^d)$, ($1 \leq p \leq \infty$) when the weight $v$ is in
the class of ``generalized polynomials'' and the composition map is a
bijective ergodic transform satisfying a given discrepancy. The work is
based on the construction of a functional calculus initiated by Wermer
and generalized by Davie.
Archive classification: math.FA
Mathematics Subject Classification: 47A15 ; 47A10; 47A60
The source file(s), WCO.tex: 48622 bytes, is(are) stored in gzipped
form as 0809.4429.gz with size 14kb. The corresponding postcript file
has gzipped size 122kb.
Submitted from: giorgis at math.sc.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0809.4429
or
http://arXiv.org/abs/0809.4429
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From alspach at fourier.math.okstate.edu Mon Sep 29 12:27:46 2008
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id 5137FD086A; Mon, 29 Sep 2008 12:27:46 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Geraldo Botelho, Daniel Pellegrino and Pilar Rueda
Message-Id: <20080929172746.5137FD086A at fourier.math.okstate.edu>
Date: Mon, 29 Sep 2008 12:27:46 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "On dominated polynomials between
Banach spaces" by Geraldo Botelho, Daniel Pellegrino and Pilar Rueda.
Abstract: In this paper, among other results, we prove a conjecture
concerning coincidence theorems for dominated polynomials. We also
obtain an abstract version of Pietsch Domination Theorem (PDT) which
unifies and generalizes several different nonlinear approaches; our
result recovers, as a particular case, the well-known PDT for dominated
multilinear mappings.
Archive classification: math.FA
Mathematics Subject Classification: 46B15; 46G25
Remarks: 10 pages
The source file(s), conjecture19agosto2008-arxiv.tex: 34210 bytes, is(are)
stored in gzipped form as 0809.4496.gz with size 10kb. The corresponding
postcript file has gzipped size 85kb.
Submitted from: dmpellegrino at gmail.com
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0809.4496
or
http://arXiv.org/abs/0809.4496
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From alspach at fourier.math.okstate.edu Tue Oct 7 13:46:17 2008
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id 7D8C7D06B2; Tue, 7 Oct 2008 13:46:17 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by George Androulakis, Nigel Kalton, and Adi Tcaciuc
Message-Id: <20081007184617.7D8C7D06B2 at fourier.math.okstate.edu>
Date: Tue, 7 Oct 2008 13:46:17 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "On Banach spaces containing $l_p$
or $c_0$" by George Androulakis, Nigel Kalton, and Adi Tcaciuc.
Abstract: We use the Gowers block Ramsey theorem to characterize Banach
spaces containing isomorphs of $\ell_p$ (for some $1 \leq p < \infty$)
or $c_0$.
Archive classification: math.FA
Mathematics Subject Classification: 46B20; 46B40; 46B03
The source file(s), ellpAndKalTca.tex: 22204 bytes, is(are) stored in
gzipped form as 0810.0325.gz with size 7kb. The corresponding postcript
file has gzipped size 72kb.
Submitted from: giorgis at math.sc.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0810.0325
or
http://arXiv.org/abs/0810.0325
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uget 0810.0325
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From alspach at fourier.math.okstate.edu Tue Oct 7 13:48:32 2008
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id 22CDFD06B2; Tue, 7 Oct 2008 13:48:32 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Hadi Haghshenas
Message-Id: <20081007184832.22CDFD06B2 at fourier.math.okstate.edu>
Date: Tue, 7 Oct 2008 13:48:32 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Differentiability of Banach spaces
via constructible sets" by Hadi Haghshenas.
Abstract: the main goal of this paper is to prove that any Banach space X
, that every dual ball in X** is weak* separable, or every weak* closed
convex subset in X**is weak* separable , or every norm-closed convex set
in X* is constructible, admits an equivalent Frechet differentiable norm.
Archive classification: math.FA
Mathematics Subject Classification: 46B20
Remarks: 5 pages
The source file(s),
DIFFERENTIABILITYOFBANACHSPACESVIACONSTRUCTIBLESETS.tex: 12164 bytes,
is(are) stored in gzipped form as 0810.0586.gz with size 5kb. The
corresponding postcript file has gzipped size 43kb.
Submitted from: h_haghshenas60 at yahoo.com
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0810.0586
or
http://arXiv.org/abs/0810.0586
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subject line
uget 0810.0586
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to: math at arXiv.org.
From alspach at fourier.math.okstate.edu Tue Oct 7 13:50:15 2008
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id D715CD06B2; Tue, 7 Oct 2008 13:50:15 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Assadi, Hadi Haghshenas, and Hosseini Guive
Message-Id: <20081007185015.D715CD06B2 at fourier.math.okstate.edu>
Date: Tue, 7 Oct 2008 13:50:15 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Convexity of Chebyshev sets through
differentiability of distance function" by Assadi, Hadi Haghshenas,
and Hosseini Guive.
Abstract: The aim of this paper is to present some equivalent conditions
that ensure the convexity of a Chebyshev set. To do so, we use Gateaux
differentiability of the distance function
Archive classification: math.FA
Mathematics Subject Classification: 46B20
Remarks: 4 pages
The source file(s),
CONVEXITYOFCEBYSEVSETSTHROUGHDIFFERENTIABILITYOFDISTANCEFUNCTION.tex:
10884 bytes, is(are) stored in gzipped form as 0810.0587.gz with size
4kb. The corresponding postcript file has gzipped size 41kb.
Submitted from: h_haghshenas60 at yahoo.com
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0810.0587
or
http://arXiv.org/abs/0810.0587
or by email in unzipped form by transmitting an empty message with
subject line
uget 0810.0587
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From alspach at fourier.math.okstate.edu Tue Oct 28 17:20:46 2008
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id 11E49D094B; Tue, 28 Oct 2008 17:20:45 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by A. Assadi,HADI Haghshenas and H. Hosseini Guive
Message-Id: <20081028222046.11E49D094B at fourier.math.okstate.edu>
Date: Tue, 28 Oct 2008 17:20:45 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "A review on some geometric results
of the Smulian's theorem on Frechet differentiability of norms" by
A. Assadi,HADI Haghshenas and H. Hosseini Guive.
Abstract: In this paper, we prove the Smulian s theorem on Frechet
differentiability of norm,and present some of its geometric results
concerning the Gateaux and Frechet differentiability of norm and
properties of the allied space and its dual such as reflexivity and
strict convexity.
Archive classification: math.FA
Mathematics Subject Classification: 46B20
Remarks: 4 Pages
The source file(s),
AREVIEWONSOMEGEOMETRICRESULTSOFTHESMULIANSTHEOREMONFRECHETDIFFERENTIABILITYOFNORMS.tex:
10646 bytes, is(are) stored in gzipped form as 0810.0773.gz with size
4kb. The corresponding postcript file has gzipped size 42kb.
Submitted from: h_haghshenas60 at yahoo.com
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0810.0773
or
http://arXiv.org/abs/0810.0773
or by email in unzipped form by transmitting an empty message with
subject line
uget 0810.0773
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From alspach at fourier.math.okstate.edu Tue Oct 28 17:21:32 2008
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id EB432D094B; Tue, 28 Oct 2008 17:21:32 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Hadi Haghshenas
Message-Id: <20081028222132.EB432D094B at fourier.math.okstate.edu>
Date: Tue, 28 Oct 2008 17:21:32 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Convexity of Chebyshev sets in
Hilbert spaces" by Hadi Haghshenas.
Abstract: The aim of this paper is state of conditions that ensure the
convexity of a Chebyshev sets in Hilbert spaces .
Archive classification: math.FA
Mathematics Subject Classification: 46B20
Remarks: 4 Pages
The source file(s), CONVEXITYOFCEBYSEVSETSINHILBERTSPACES.tex: 8784
bytes, is(are) stored in gzipped form as 0810.0772.gz with size 3kb. The
corresponding postcript file has gzipped size 36kb.
Submitted from: h_haghshenas60 at yahoo.com
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0810.0772
or
http://arXiv.org/abs/0810.0772
or by email in unzipped form by transmitting an empty message with
subject line
uget 0810.0772
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From alspach at fourier.math.okstate.edu Tue Oct 28 17:22:17 2008
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id 18D75D094B; Tue, 28 Oct 2008 17:22:16 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Libor Vesely and Ludek Zajicek
Message-Id: <20081028222217.18D75D094B at fourier.math.okstate.edu>
Date: Tue, 28 Oct 2008 17:22:16 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "On extensions of d.c. functions
and convex functions" by Libor Vesely and Ludek Zajicek.
Abstract: We show how our recent results on compositions of d.c. functions
(and mappings) imply positive results on extensions of d.c. functions
(and mappings). Examples answering two natural relevant questions are
presented. Two further theorems, concerning extendability of continuous
convex functions from a closed subspace of a normed linear space,
complement recent results of J.Borwein, V.Montesinos and J.Vanderwerff.
Archive classification: math.FA math.GM
Mathematics Subject Classification: 52A41; 26B25; 46B99
Remarks: 16 pages
The source file(s), RozsirDCfinal.tex: 48466 bytes, is(are) stored in
gzipped form as 0810.1433.gz with size 15kb. The corresponding postcript
file has gzipped size 110kb.
Submitted from: Libor.Vesely at mat.unimi.it
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0810.1433
or
http://arXiv.org/abs/0810.1433
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From alspach at fourier.math.okstate.edu Tue Oct 28 17:22:55 2008
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id C2AD1D094B; Tue, 28 Oct 2008 17:22:55 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Javier Guachalla H
Message-Id: <20081028222255.C2AD1D094B at fourier.math.okstate.edu>
Date: Tue, 28 Oct 2008 17:22:55 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "$L^1$ is complemented in $L^{\infty
*}$" by Javier Guachalla H.
Abstract: We show $L^1$ is complemented in the dual space $L^{\infty *}$
Archive classification: math.FA
The source file(s), l1cmplm.TEX: 2401 bytes, is(are) stored in gzipped
form as 0810.2354.gz with size 1kb. The corresponding postcript file
has gzipped size 29kb.
Submitted from: jguachallah at gmail.com
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0810.2354
or
http://arXiv.org/abs/0810.2354
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From alspach at fourier.math.okstate.edu Tue Oct 28 17:24:16 2008
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id D6447D094B; Tue, 28 Oct 2008 17:24:16 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Siu-Ah Ng
Message-Id: <20081028222416.D6447D094B at fourier.math.okstate.edu>
Date: Tue, 28 Oct 2008 17:24:16 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Bidual as a weak nonstandard hull"
by Siu-Ah Ng.
Abstract: We construct the weak nonstandard hull of a normed linear space
X from *X (the nonstandard extension of X) using the weak topology on
X. The bidual (i.e. the second dual) X'' is shown to be isometrically
isomorphic to the weak nonstandard hull of X. Examples and applications
to C*-algebras are given, including a simple proof of the Sherman-Takeda
Theorem. As a consequence, the weak nonstandard hull of a C*-algebra is
always a von Neumann algebra. Moreover a natural representation of the
Arens product is given.
Archive classification: math.FA math.LO math.OA
Mathematics Subject Classification: 46L05, 03H05, 26E3,5 46S20
Remarks: 14 pages
The source file(s), bidual.tex: 38768 bytes, is(are) stored in gzipped
form as 0810.3090.gz with size 11kb. The corresponding postcript file
has gzipped size 87kb.
Submitted from: ngs at ukzn.ac.za
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0810.3090
or
http://arXiv.org/abs/0810.3090
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uget 0810.3090
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From alspach at fourier.math.okstate.edu Tue Oct 28 17:25:31 2008
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id 3BD7ED094B; Tue, 28 Oct 2008 17:25:31 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by R. Fry
Message-Id: <20081028222531.3BD7ED094B at fourier.math.okstate.edu>
Date: Tue, 28 Oct 2008 17:25:31 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Corrigendum to Approximation
by C^{p}-smooth, Lipschitz functions on Banach spaces"
[J. Math. Anal. Appl., 315 (2006), 599-605]" by R. Fry.
Abstract: In this erratum, we recover the results from an earlier paper
of the author's which contained a gap. Specifically, we prove that if X
is a Banach space with an unconditional basis and admits a C^{p}-smooth,
Lipschitz bump function, and Y is a convex subset of X, then any uniformly
continuous function f: Y->R can be uniformly approximated by Lipschitz,
C^{p}-smooth functions K:X->R. Also, if Z is any Banach space and f:X->Z
is L-Lipschitz, then the approximates K:X->Z can be chosen CL-Lipschitz
and C^{p}-smooth, for some constant C depending only on X.
Archive classification: math.FA
Mathematics Subject Classification: 46B20
Citation: Journal of Mathematical Analysis and Applications, Volume 348,
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0810.3881
or
http://arXiv.org/abs/0810.3881
or by email in unzipped form by transmitting an empty message with
subject line
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From alspach at fourier.math.okstate.edu Tue Nov 4 08:51:33 2008
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Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id A406AD0500; Tue, 4 Nov 2008 08:51:33 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Dusan Repovs and Pavel V. Semenov
Message-Id: <20081104145133.A406AD0500 at fourier.math.okstate.edu>
Date: Tue, 4 Nov 2008 08:51:33 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "On continuous choice of retractions
onto nonconvex subsets" by Dusan Repovs and Pavel V. Semenov.
Abstract: For a Banach space $B$ and for a class $\A$ of its bounded
closed retracts, endowed with the Hausdorff metric, we prove that
retractions on elements $A \in \A$ can be chosen to depend continuously
on $A$, whenever nonconvexity of each $A \in \A$ is less than
$\f{1}{2}$. The key geometric argument is that the set of all uniform
retractions onto an $\a-$paraconvex set (in the spirit of E. Michael)
is $\frac{\a}{1-\a}-$paraconvex subset in the space of continuous
mappings of $B$ into itself. For a Hilbert space $H$ the estimate
$\frac{\a}{1-\a}$ can be improved to $\frac{\a (1+\a^{2})}{1-\a^{2}}$
and the constant $\f{1}{2}$ can be reduced to the root of the equation
$\a+ \a^{2}+a^{3}=1$.
Archive classification: math.GN math.FA
Mathematics Subject Classification: 54C60; 54C65; 41A65; 54C55; 54C20
The source file(s), VerzijaZaArhiv.tex: 38914 bytes, is(are) stored in
gzipped form as 0810.3895.gz with size 12kb. The corresponding postcript
file has gzipped size 89kb.
Submitted from: dusan.repovs at guest.arnes.si
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0810.3895
or
http://arXiv.org/abs/0810.3895
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From alspach at fourier.math.okstate.edu Tue Nov 4 08:52:28 2008
Return-Path: <alspach at fourier.math.okstate.edu>
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Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id F4060D0500; Tue, 4 Nov 2008 08:52:27 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by R. Fry
Message-Id: <20081104145227.F4060D0500 at fourier.math.okstate.edu>
Date: Tue, 4 Nov 2008 08:52:27 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Approximation by Lipschitz, C^{p}
smooth functions on weakly compactly generated Banach spaces" by R. Fry.
Abstract: It is shown that on weakly compactly generated Banach spaces
which admit a Lipschitz, C^{p} smooth bump function, one can uniformly
approximate uniformly continuous, bounded, real-valued functions by
Lipschitz, C^{p} smooth functions. This provides a `Lipschitz version'
of the classical approximation results of Godefroy, Troyanski, Whitfield
and Zizler.
Archive classification: math.FA
Mathematics Subject Classification: 46B20
Citation: Journal of Functional Analysis, Volume 252, Issue 1, 1 November
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0810.3901
or
http://arXiv.org/abs/0810.3901
or by email in unzipped form by transmitting an empty message with
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uget 0810.3901
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to: math at arXiv.org.
From alspach at fourier.math.okstate.edu Tue Nov 4 08:55:29 2008
Return-Path: <alspach at fourier.math.okstate.edu>
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id 5EEFCD0500; Tue, 4 Nov 2008 08:55:29 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Michael Cwikel and Eliahu Levy
Message-Id: <20081104145529.5EEFCD0500 at fourier.math.okstate.edu>
Date: Tue, 4 Nov 2008 08:55:29 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Estimates for covering numbers
in Schauder's theorem about adjoints of compact operators" by Michael
Cwikel and Eliahu Levy.
Abstract: Let T:X --> Y be a bounded linear map between Banach spaces X
and Y. Let S:Y' --> X' be its adjoint. Let B(X) and B(Y') be the closed
unit balls of X and Y' respectively. We obtain apparently new estimates
for the covering numbers of the set S(B(Y')). These are expressed in terms
of the covering numbers of T(B(X)), or, more generally, in terms of the
covering numbers of a "significant" subset of T(B(X)). The latter more
general estimates are best possible. These estimates follow from our new
quantitative version of an abstract compactness result which generalizes
classical theorems of Arzela-Ascoli and of Schauder. Analogous estimates
also hold for the covering numbers of T(B(X)), in terms of the covering
numbers of S(B(Y')) or in terms of a suitable "significant" subset
of S(B(Y')).
Archive classification: math.FA
Mathematics Subject Classification: Primary 46B06. Secondary 46B10,
46B50, 05B40, 52C17, 52C15.
Remarks: 14 pages. At any given time our most recent version of this
paper will be either at
http://www.math.technion.ac.il/~mcwikel/compact/QuantitativeSchauder.pdf
or
http://arxiv.org/abs/0810.4240
The source file(s), 8QuantitativeSchauder.tex: 51761 bytes, is(are)
stored in gzipped form as 0810.4240.gz with size 15kb. The corresponding
postcript file has gzipped size 105kb.
Submitted from: mcwikel at math.technion.ac.il
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0810.4240
or
http://arXiv.org/abs/0810.4240
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uget 0810.4240
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to: math at arXiv.org.
From alspach at fourier.math.okstate.edu Tue Nov 4 08:56:29 2008
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To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Christian Rosendal
Message-Id: <20081104145629.E576ED0500 at fourier.math.okstate.edu>
Date: Tue, 4 Nov 2008 08:56:29 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Infinite asymptotic games" by
Christian Rosendal.
Abstract: We study infinite asymptotic games in Banach spaces with an
F.D.D. and prove that analytic games are determined by characterising
precisely the conditions for the players to have winning strategies. These
results are applied to characterise spaces embeddable into $\ell_p$
sums of finite dimensional spaces, extending results of Odell and
Schlumprecht, and to study various notions of homogeneity of bases and
Banach spaces. These results are related to questions of rapidity of
subsequence extraction from normalised weakly null sequences.
Archive classification: math.FA math.LO
Mathematics Subject Classification: Primary: 46B03, Secondary 03E15
The source file(s), AsymptoticGames42.tex: 71838 bytes, is(are) stored
in gzipped form as 0608616.gz with size 22kb. The corresponding postcript
file has gzipped size 0kb.
Submitted from: rosendal at math.uiuc.edu
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http://front.math.ucdavis.edu/math/0608616
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From alspach at fourier.math.okstate.edu Tue Nov 4 09:09:51 2008
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id 1BCE4D0500; Tue, 4 Nov 2008 09:09:51 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Gilles Pisier
Message-Id: <20081104150951.1BCE4D0500 at fourier.math.okstate.edu>
Date: Tue, 4 Nov 2008 09:09:51 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Remarks on the non-commutative
Khintchine inequalities for $0<p<2$" by Gilles Pisier.
Abstract: We show that the validity of the non-commutative Khintchine
inequality for some $q$ with $1<q<2$ implies its validity (with another
constant) for all $1\le p<q$. We prove this for the inequality involving
the Rademacher functions, but also for more general ``lacunary''
sequences, or even non-commutative analogues of the Rademacher
functions. For instance, we may apply it to the ``$Z(2)$-sequences''
previously considered by Harcharras. The result appears to be new
in that case. It implies that the space $\ell^n_1$ contains (as an
operator space) a large subspace uniformly isomorphic (as an operator
space) to $R_k+C_k$ with $k\sim n^{\frac12}$. This naturally raises
several interesting questions concerning the best possible such $k$.
Unfortunately we cannot settle the validity of the non-commutative
Khintchine inequality for $0<p<1$ but we can prove several would be
corollaries. For instance, given an infinite scalar matrix $[x_{ij}]$,
we give a necessary and sufficient condition for $[\pm x_{ij}]$ to
be in the Schatten class $S_p$ for almost all (independent) choices
of signs $\pm 1$. We also characterize the bounded Schur multipliers
from $S_2$ to $S_p$. The latter two characterizations extend to $0<p<1$
results already known for $1\le p\le2$. In addition, we observe that
the hypercontractive inequalities, proved by Carlen and Lieb for the
Fermionic case, remain valid for operator space valued functions, and
hence the Kahane inequalities are valid in this setting.
Archive classification: math.OA math.FA
The source file(s), Remarks-Khintchine.Oct24.tex: 85759 bytes, is(are)
stored in gzipped form as 0810.5705.gz with size 26kb. The corresponding
postcript file has gzipped size 175kb.
Submitted from: pisier at math.jussieu.fr
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From alspach at fourier.math.okstate.edu Tue Nov 4 09:12:56 2008
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id F24FFD0500; Tue, 4 Nov 2008 09:12:55 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Gianluca Cassese
Message-Id: <20081104151255.F24FFD0500 at fourier.math.okstate.edu>
Date: Tue, 4 Nov 2008 09:12:55 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Sure wins, separating probabilities
and the representation of linear functionals" by Gianluca Cassese.
Abstract: We discuss conditions under which a convex cone $\K\subset
\R^{\Omega}$ admits a probability $m$ such that $\sup_{k\in \K}
m(k)\leq0$. Based on these, we also characterize linear functionals that
admit the representation as finitely additive expectations. A version
of Riesz decomposition based on this property is obtained as well as
a characterisation of positive functionals on the space of integrable
functions
Archive classification: math.FA math.PR
Mathematics Subject Classification: 28A25, 28C05
The source file(s), JMAAR1.tex: 32542 bytes, is(are) stored in gzipped
form as 0709.3411.gz with size 11kb. The corresponding postcript file
has gzipped size 283kb.
Submitted from: g.cassese at economia.unile.it
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http://front.math.ucdavis.edu/0709.3411
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http://arXiv.org/abs/0709.3411
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From alspach at fourier.math.okstate.edu Tue Nov 4 09:13:32 2008
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id AA0F0D0500; Tue, 4 Nov 2008 09:13:32 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by R. Fry and L. Keener
Message-Id: <20081104151332.AA0F0D0500 at fourier.math.okstate.edu>
Date: Tue, 4 Nov 2008 09:13:32 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Approximation by Lipschitz,
analytic maps on certain Banach spaces" by R. Fry and L. Keener.
Abstract: We show that on separable Banach spaces admitting a separating
polynomial, any uniformly continuous, bounded, real-valued function can
be uniformly approximated by Lipschitz, analytic maps on bounded sets.
Archive classification: math.FA
Mathematics Subject Classification: 46B20
Remarks: 19 pages
The source file(s), FryKeenerv2.tex: 58919 bytes, is(are) stored in
gzipped form as 0810.5600.gz with size 15kb. The corresponding postcript
file has gzipped size 111kb.
Submitted from: rfry at tru.ca
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http://front.math.ucdavis.edu/0810.5600
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http://arXiv.org/abs/0810.5600
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From: "Tong, Simei" <TONGS at uwec.edu>
To: "'banach at math.okstate.edu'" <banach at math.okstate.edu>
Subject: [Banach] Position at University of Wisconsin-Eau Claire
Date: Thu, 6 Nov 2008 14:03:22 -0600
Department of Mathematics
University of Wisconsin-Eau Claire
A probationary tenure-track faculty position is available in the Department
of Mathematics at the rank of Assistant Professor beginning August 24,
2009.
See http://www.uwec.edu/acadaff/jobs/faculty/MathF-537.htm for further
details.
_______________________________________________
From alspach at fourier.math.okstate.edu Mon Nov 10 13:33:30 2008
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id F163CD094F; Mon, 10 Nov 2008 13:33:29 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by G. Botelho, D. Diniz and D. Pellegrino
Message-Id: <20081110193329.F163CD094F at fourier.math.okstate.edu>
Date: Mon, 10 Nov 2008 13:33:29 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "A note on lineability of sets of
bounded non-absolutely summing operators" by G. Botelho, D. Diniz and
D. Pellegrino.
Abstract: In this note we sketch a method to prove that several sets of
bounded non-absolutely p-summing operators are lineable. We partially
solve a question posed by Puglisi and Seoane-Sepulveda on this subject.
Archive classification: math.FA
Mathematics Subject Classification: 47B10
Remarks: 4 pages
The source file(s), lin5.tex: 10790 bytes, is(are) stored in gzipped
form as 0811.0092.gz with size 4kb. The corresponding postcript file
has gzipped size 52kb.
Submitted from: dmpellegrino at gmail.com
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0811.0092
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http://arXiv.org/abs/0811.0092
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From alspach at fourier.math.okstate.edu Mon Nov 10 13:34:29 2008
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id 3456CD094F; Mon, 10 Nov 2008 13:34:29 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Piotr Koszmider, Miguel Martin, and Javier Meri
Message-Id: <20081110193429.3456CD094F at fourier.math.okstate.edu>
Date: Mon, 10 Nov 2008 13:34:29 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Extremely non-complex C(K) spaces"
by Piotr Koszmider, Miguel Martin, and Javier Meri .
Abstract: We show that there exist infinite-dimensional extremely
non-complex Banach spaces, i.e.\ spaces $X$ such that the norm equality
$\|Id + T^2\|=1 + \|T^2\|$ holds for every bounded linear operator
$T:X\longrightarrow X$. This answers in the positive Question 4.11 of
[Kadets, Martin, Meri, Norm equalities for operators, \emph{Indiana U.\
Math.\ J.} \textbf{56} (2007), 2385--2411]. More concretely, we show that
this is the case of some $C(K)$ spaces with few operators constructed in
[Koszmider, Banach spaces of continuous functions with few operators,
\emph{Math.\ Ann.} \textbf{330} (2004), 151--183] and [Plebanek, A
construction of a Banach space $C(K)$ with few operators, \emph{Topology
Appl.} \textbf{143} (2004), 217--239]. We also construct compact spaces
$K_1$ and $K_2$ such that $C(K_1)$ and $C(K_2)$ are extremely non-complex,
$C(K_1)$ contains a complemented copy of $C(2^\omega)$ and $C(K_2)$
contains a (1-complemented) isometric copy of $\ell_\infty$.
Archive classification: math.FA math.OA
Mathematics Subject Classification: 46B20, 47A99
Remarks: to appear in J. Math. Anal. Appl
The source file(s), JMAA-07-3370R1.tex: 65250 bytes, is(are) stored in
gzipped form as 0811.0577.gz with size 20kb. The corresponding postcript
file has gzipped size 135kb.
Submitted from: mmartins at ugr.es
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0811.0577
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From alspach at fourier.math.okstate.edu Mon Nov 10 13:35:43 2008
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id A1C1CD094F; Mon, 10 Nov 2008 13:35:43 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Vladimir Kadets, Miguel Martin, Javier Meri, and Rafael Paya
Message-Id: <20081110193543.A1C1CD094F at fourier.math.okstate.edu>
Date: Mon, 10 Nov 2008 13:35:43 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Convexity and smoothness of Banach
spaces with numerical index one" by Vladimir Kadets, Miguel Martin,
Javier Meri, and Rafael Paya .
Abstract: We show that a Banach space with numerical index one
cannot enjoy good convexity or smoothness properties unless it is
one-dimensional. For instance, it has no WLUR points in its unit ball,
its norm is not Frechet smooth and its dual norm is neither smooth nor
strictly convex. Actually, these results also hold if the space has
the (strictly weaker) alternative Daugavet property. We construct a
(non-complete) strictly convex predual of an infinite-dimensional $L_1$
space (which satisfies a property called lushness which implies numerical
index~$1$). On the other hand, we show that a lush real Banach space is
neither strictly convex nor smooth, unless it is one-dimensional. In
particular, if a subspace $X$ of the real space $C[0,1]$ is smooth or
strictly convex, then $C[0,1]/X$ contains a copy of $C[0,1]$. Finally,
we prove that the dual of any lush infinite-dimensional real space
contains a copy of $\ell_1$.
Archive classification: math.FA math.OA
Mathematics Subject Classification: 46B04, 46B20, 47A12
Remarks: Illinois J. Math. (to appear)
The source file(s), Kadets-Martin-Meri-Paya.tex: 61549 bytes, is(are)
stored in gzipped form as 0811.0808.gz with size 19kb. The corresponding
postcript file has gzipped size 120kb.
Submitted from: mmartins at ugr.es
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http://front.math.ucdavis.edu/0811.0808
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From alspach at fourier.math.okstate.edu Wed Nov 19 13:13:58 2008
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id BD068D099B; Wed, 19 Nov 2008 13:13:58 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Rishad Shahmurov
Message-Id: <20081119191358.BD068D099B at fourier.math.okstate.edu>
Date: Wed, 19 Nov 2008 13:13:58 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "General Hormander and Mikhlin
conditions for multipliers of Besov spaces" by Rishad Shahmurov.
Abstract: Here a new condition for the geometry of Banach spaces is
introduced and the operator--valued Fourier multiplier theorems in
weighted Besov spaces are obtained. Particularly, connections between
the geometry of Banach spaces and Hormander-Mikhlin conditions are
established. As an application of main results the regularity properties
of degenerate elliptic differential operator equations are investigated.
Archive classification: math.FA math.CA
Mathematics Subject Classification: 34G10, 35J25, 35J70
Remarks: 16
The source file(s), FMTWeightedB.tex: 57462 bytes, is(are) stored in
gzipped form as 0811.1350.gz with size 14kb. The corresponding postcript
file has gzipped size 101kb.
Submitted from: shahmurov at hotmail.com
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http://front.math.ucdavis.edu/0811.1350
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From alspach at fourier.math.okstate.edu Wed Nov 19 13:14:46 2008
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id 0371FD099B; Wed, 19 Nov 2008 13:14:45 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Marisa Zymonopoulou
Message-Id: <20081119191446.0371FD099B at fourier.math.okstate.edu>
Date: Wed, 19 Nov 2008 13:14:45 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "A note on the Busemann-Petty
problem for bodies of certain invariance" by Marisa Zymonopoulou.
Abstract: The Busemann-Petty problem asks whether origin symmetric
convex bodies in $\R^n$ with smaller hyperplane sections necessarily
have smaller volume. The answer is affirmative if $n\leq 3$ and negative
if $n\geq 4.$ We consider a class of convex bodies that have a certain
invariance property with respect to their ordered k-tuples of coordinates
in $\R^{kn}$ and prove the corresponding problem.
Archive classification: math.FA
The source file(s), kn.tex: 32692 bytes, is(are) stored in gzipped form
as 0811.1593.gz with size 10kb. The corresponding postcript file has
gzipped size 82kb.
Submitted from: marisa at cwru.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0811.1593
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From alspach at fourier.math.okstate.edu Wed Nov 19 13:22:03 2008
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id 60273D099B; Wed, 19 Nov 2008 13:22:03 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by M.I. Ostrovskii
Message-Id: <20081119192203.60273D099B at fourier.math.okstate.edu>
Date: Wed, 19 Nov 2008 13:22:03 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Sufficient enlargements of minimal
volume for finite dimensional normed linear spaces" by M.I. Ostrovskii.
Abstract: Let $B_Y$ denote the unit ball of a normed linear space $Y$. A
symmetric, bounded, closed, convex set $A$ in a finite dimensional normed
linear space $X$ is called a {\it sufficient enlargement} for $X$ if, for
an arbitrary isometric embedding of $X$ into a Banach space $Y$, there
exists a linear projection $P:Y\to X$ such that $P(B_Y)\subset A$. The
main results of the paper: {\bf (1)} Each minimal-volume sufficient
enlargement is linearly equivalent to a zonotope spanned by multiples of
columns of a totally unimodular matrix. {\bf (2)} If a finite dimensional
normed linear space has a minimal-volume sufficient enlargement which
is not a parallelepiped, then it contains a two-dimensional subspace
whose unit ball is linearly equivalent to a regular hexagon.
Archive classification: math.FA
Mathematics Subject Classification: 46B07, 52A21
Citation: J. Funct. Anal. 255 (2008), no. 3, 589-619
The source file(s), ost.tex: 97543 bytes, is(are) stored in gzipped
form as 0811.1763.gz with size 28kb. The corresponding postcript file
has gzipped size 173kb.
Submitted from: ostrovsm at stjohns.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0811.1763
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From alspach at fourier.math.okstate.edu Wed Nov 19 13:23:07 2008
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id 9E38BD099B; Wed, 19 Nov 2008 13:23:07 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by M.I. Ostrovskii
Message-Id: <20081119192307.9E38BD099B at fourier.math.okstate.edu>
Date: Wed, 19 Nov 2008 13:23:07 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Compositions of projections
in Banach spaces and relations between approximation properties"
by M.I. Ostrovskii.
Abstract: A necessary and sufficient condition for existence of a
Banach space with a finite dimensional decomposition but without the
$\pi$-property in terms of norms of compositions of projections is found.
Archive classification: math.FA
Mathematics Subject Classification: 46B07
Citation: Rocky Mountain Journal of Mathematics, 38 (2008), no. 4,
1253-1262
The source file(s), ostr.tex: 21966 bytes, is(are) stored in gzipped
form as 0811.1763.gz with size 7kb. The corresponding postcript file
has gzipped size 79kb.
Submitted from: ostrovsm at stjohns.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0811.1763
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From alspach at fourier.math.okstate.edu Wed Nov 19 13:24:30 2008
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id E497ED099B; Wed, 19 Nov 2008 13:24:30 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Oscar Blasco and Jan van Neerven
Message-Id: <20081119192430.E497ED099B at fourier.math.okstate.edu>
Date: Wed, 19 Nov 2008 13:24:30 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Spaces of operator-valued
functions measurable with respect to the strong operator topology"
by Oscar Blasco and Jan van Neerven.
Abstract: Let $X$ and $Y$ be Banach spaces and $(\Omega,\Sigma,\mu)$
a finite measure space. In this note we introduce the space
$L^p[\mu;L(X,Y)]$ consisting of all (equivalence classes of)
functions $\Phi:\Omega \mapsto L(X,Y)$ such that $\omega \mapsto
\Phi(\omega)x$ is strongly $\mu$-measurable for all $x\in X$ and $\omega
\mapsto \Phi(\omega)f(\omega)$ belongs to $L^1(\mu;Y)$ for all $f\in
L^{p'}(\mu;X)$, $1/p+1/p'=1$. We show that functions in $L^p[\mu;\L(X,Y)]$
define operator-valued measures with bounded $p$-variation and use
these spaces to obtain an isometric characterization of the space of
all $L(X,Y)$-valued multipliers acting boundedly from $L^p(\mu;X)$
into $L^q(\mu;Y)$, $1\le q< p<\infty$.
Archive classification: math.FA
Mathematics Subject Classification: 28B05, 46G10
Remarks: 12 pages
The source file(s), Blasco_vanNeerven/BlascoVanNeerven.tex: 40452 bytes
Blasco_vanNeerven/newsymbol.sty: 440 bytes Blasco_vanNeerven/srcltx.sty:
6955 bytes, is(are) stored in gzipped form as 0811.2284.tar.gz with size
14kb. The corresponding postcript file has gzipped size 97kb.
Submitted from: J.M.A.M.vanNeerven at tudelft.nl
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0811.2284
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From alspach at fourier.math.okstate.edu Wed Nov 26 16:08:43 2008
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id DFEE5D094A; Wed, 26 Nov 2008 16:08:43 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by W. T. Gowers
Message-Id: <20081126220843.DFEE5D094A at fourier.math.okstate.edu>
Date: Wed, 26 Nov 2008 16:08:43 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Decompositions, approximate
structure, transference, and the Hahn-Banach theorem" by W. T. Gowers.
Abstract: This paper is partly a survey of certain kinds of results and
proofs in additive combinatorics, and partly a discussion of how useful
the finite-dimensional Hahn-Banach theorem can be. The most interesting
single result is probably a simpler proof of a key step in the proof
of the Green-Tao theorem, but several other applications of the method
are given. A similarly simplified proof of the Green-Tao transference
principle was obtained independently (and expressed in a rather different
language) by Reingold, Trevisan, Tulsiani and Vadhan.
Archive classification: math.CO math.FA
Mathematics Subject Classification: 05D99
Remarks: 48 pages
The source file(s), newtransfer6.tex: 157325 bytes, is(are) stored in
gzipped form as 0811.3103.gz with size 46kb. The corresponding postcript
file has gzipped size 191kb.
Submitted from: wtg10 at dpmms.cam.ac.uk
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0811.3103
or
http://arXiv.org/abs/0811.3103
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From alspach at fourier.math.okstate.edu Wed Nov 26 16:10:04 2008
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id F11C8D094A; Wed, 26 Nov 2008 16:10:03 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Tuomas Hytonen and Lutz Weis
Message-Id: <20081126221003.F11C8D094A at fourier.math.okstate.edu>
Date: Wed, 26 Nov 2008 16:10:03 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "The Banach space-valued BMO,
Carleson's condition, and paraproducts" by Tuomas Hytonen and Lutz Weis.
Abstract: We define a scale of L^q Carleson norms, all of which
characterize the membership of a function in BMO. The phenomenon is
analogous to the John-Nirenberg inequality, but on the level of Carleson
measures. The classical Carleson condition corresponds to the L^2 case
in our theory.
The result is applied to give a new proof for the L^p-boundedness of
paraproducts with a BMO symbol. A novel feature of the argument is that
all p are covered at once in a completely interpolation-free manner. This
is achieved by using the L^1 Carleson norm, and indicates the usefulness
of this notion. Our approach is chosen so that all these results extend
in a natural way to the case of X-valued functions, where X is a Banach
space with the UMD property.
Archive classification: math.FA
Mathematics Subject Classification: 42B35; 42B20; 42B25; 46E40
Remarks: 14 pages, submitted
The source file(s), carleson.tex: 56068 bytes, is(are) stored in gzipped
form as 0811.3333.gz with size 16kb. The corresponding postcript file
has gzipped size 106kb.
Submitted from: tuomas.hytonen at helsinki.fi
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0811.3333
or
http://arXiv.org/abs/0811.3333
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From alspach at fourier.math.okstate.edu Wed Nov 26 16:10:42 2008
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id 89B43D094A; Wed, 26 Nov 2008 16:10:42 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Geraldo Botelho, Daniel Pellegrino and Pilar Rueda
Message-Id: <20081126221042.89B43D094A at fourier.math.okstate.edu>
Date: Wed, 26 Nov 2008 16:10:42 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "A unified Pietsch domination
theorem" by Geraldo Botelho, Daniel Pellegrino and Pilar Rueda.
Abstract: In this paper we prove an abstract version of Pietsch's
domination theorem which unify a number of known Pietsch-type domination
theorems for classes of mappings that generalize the ideal of absolutely
p-summing linear operators. A final result shows that Pietsch-type
dominations are totally free from algebraic conditions, such as linearity,
multilinearity, etc.
Archive classification: math.FA
Remarks: 10 pages
The source file(s), abstract-PDT-20nov.tex: 32852 bytes, is(are) stored
in gzipped form as 0811.3518.gz with size 9kb. The corresponding postcript
file has gzipped size 81kb.
Submitted from: dmpellegrino at gmail.com
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0811.3518
or
http://arXiv.org/abs/0811.3518
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From alspach at fourier.math.okstate.edu Wed Nov 26 16:11:34 2008
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id 8FF02D094A; Wed, 26 Nov 2008 16:11:34 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Matthew Daws, Hung Le Pham, and Stuart White
Message-Id: <20081126221134.8FF02D094A at fourier.math.okstate.edu>
Date: Wed, 26 Nov 2008 16:11:34 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Preduals of semigroup algebras"
by Matthew Daws, Hung Le Pham, and Stuart White.
Abstract: For a locally compact group $G$, the measure convolution algebra
$M(G)$ carries a natural coproduct. In previous work, we showed that the
canonical predual $C_0(G)$ of $M(G)$ is the unique predual which makes
both the product and the coproduct on $M(G)$ weak$^*$-continuous. Given
a discrete semigroup $S$, the convolution algebra $\ell^1(S)$ also
carries a coproduct. In this paper we examine preduals for $\ell^1(S)$
making both the product and the coproduct weak$^*$-continuous. Under
certain conditions on $S$, we show that $\ell^1(S)$ has a unique
such predual. Such $S$ include the free semigroup on finitely many
generators. In general, however, this need not be the case even for quite
simple semigroups and we construct uncountably many such preduals on
$\ell^1(S)$ when $S$ is either $\mathbb Z_+\times\mathbb Z$ or $(\mathbb
N,\cdot)$.
Archive classification: math.FA
Mathematics Subject Classification: 43A20; 22A20
Remarks: 17 pages, LaTeX
The source file(s), semigroups.tex: 50737 bytes, is(are) stored in gzipped
form as 0811.3987.gz with size 15kb. The corresponding postcript file
has gzipped size 114kb.
Submitted from: matt.daws at cantab.net
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0811.3987
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From alspach at fourier.math.okstate.edu Thu Dec 4 13:52:29 2008
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id B4DB5D09A4; Thu, 4 Dec 2008 13:52:29 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by R. J. Smith and S. Troyanski
Message-Id: <20081204195229.B4DB5D09A4 at fourier.math.okstate.edu>
Date: Thu, 4 Dec 2008 13:52:29 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Unconditional bases and strictly
convex dual renormings" by R. J. Smith and S. Troyanski.
Abstract: We present equivalent conditions for a space $X$ with an
unconditional basis to admit an equivalent norm with a strictly convex
dual norm.
Archive classification: math.FA
Mathematics Subject Classification: 46B03; 46B26; 46B15
The source file(s), unc_basis_dual_sc.tex: 45412 bytes, is(are) stored in
gzipped form as 0811.4685.gz with size 14kb. The corresponding postcript
file has gzipped size 101kb.
Submitted from: smith at math.cas.cz
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0811.4685
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http://arXiv.org/abs/0811.4685
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From alspach at fourier.math.okstate.edu Tue Dec 16 16:10:43 2008
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id 8383ED044D; Tue, 16 Dec 2008 16:10:43 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Boris Rubin
Message-Id: <20081216221043.8383ED044D at fourier.math.okstate.edu>
Date: Tue, 16 Dec 2008 16:10:43 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Comparison of volumes of convex
bodies in real, complex, and quaternionic spaces" by Boris Rubin.
Abstract: The classical Busemann-Petty problem (1956) asks, whether
origin-symmetric convex bodies in $\mathbb {R}^n$ with smaller hyperplane
central sections necessarily have smaller volumes. It is known, that
the answer is affirmative if $n\le 4$ and negative if $n>4$. The same
question can be asked when volumes of hyperplane sections are replaced
by more general comparison functions. We give unified exposition of this
circle of problems in real, complex, and quaternionic $n$-dimensional
spaces. All cases are treated simultaneously. In particular, we show
that the Busemann-Petty problem in the quaternionic $n$-dimensional
space has an affirmative answer if and only if $n =2$. The method relies
on the properties of cosine transforms on the unit sphere. Possible
generalizations for spaces over Clifford algebras are discussed.
Archive classification: math.FA
Mathematics Subject Classification: 44A12; 52A38
Remarks: 38 pages
The source file(s), quaternion3.tex: 107627 bytes, is(are) stored in
gzipped form as 0812.1300.gz with size 35kb. The corresponding postcript
file has gzipped size 182kb.
Submitted from: borisr at math.lsu.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0812.1300
or
http://arXiv.org/abs/0812.1300
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From alspach at fourier.math.okstate.edu Tue Dec 16 16:11:22 2008
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id 0440ED044D; Tue, 16 Dec 2008 16:11:21 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Geraldo Botelho, Daniel Pellegrino and Pilar Rueda
Message-Id: <20081216221122.0440ED044D at fourier.math.okstate.edu>
Date: Tue, 16 Dec 2008 16:11:21 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Factorization theorems for
dominated polynomials" by Geraldo Botelho, Daniel Pellegrino and Pilar
Rueda.
Abstract: In this note we prove that the factorization theorem for
dominated polynomials previously proved by the authors is equivalent to
an alternative factorization scheme that uses classical linear techniques
and a linearization process. However, this alternative scheme is shown
not to be satisfactory until the equivalence is proved.
Archive classification: math.FA
Mathematics Subject Classification: 46G25
The source file(s), II-Factorization2dic08.tex: 15703 bytes, is(are)
stored in gzipped form as 0812.1401.gz with size 5kb. The corresponding
postcript file has gzipped size 62kb.
Submitted from: dmpellegrino at gmail.com
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0812.1401
or
http://arXiv.org/abs/0812.1401
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From alspach at fourier.math.okstate.edu Tue Dec 16 16:12:14 2008
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id 2D892D044D; Tue, 16 Dec 2008 16:12:14 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Robin Nittka
Message-Id: <20081216221214.2D892D044D at fourier.math.okstate.edu>
Date: Tue, 16 Dec 2008 16:12:14 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "On a new type concept for Banach
spaces" by Robin Nittka.
Abstract: In order to measure qualitative properties we introduce a
new notion of a type for arbitrary normed spaces which measures the
worst possible growth of partial sums of sequences weakly converging
to zero. As an application we give a new proof that certain classical
Banach spaces are non-isomorphic.
Archive classification: math.FA
Mathematics Subject Classification: 46B20
Remarks: 7 pages
The source file(s), type.bbl: 1571 bytes type.tex: 27062 bytes,
is(are) stored in gzipped form as 0812.2216.tar.gz with size 9kb. The
corresponding postcript file has gzipped size 75kb.
Submitted from: robin.nittka at uni-ulm.de
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http://front.math.ucdavis.edu/0812.2216
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http://arXiv.org/abs/0812.2216
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From alspach at fourier.math.okstate.edu Tue Dec 16 16:12:45 2008
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id DE7B9D044D; Tue, 16 Dec 2008 16:12:45 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Roman Vershynin
Message-Id: <20081216221245.DE7B9D044D at fourier.math.okstate.edu>
Date: Tue, 16 Dec 2008 16:12:45 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Spectral norm of products of
random and deterministic matrices" by Roman Vershynin.
Abstract: We study the spectral norm of matrices M that can be factored
as M=BA, where A is a random matrix with independent mean zero entries,
and B is a fixed matrix. Under the (4+epsilon)-th moment assumption on the
entries of A, we show that the spectral norm of such an m by n matrix M is
bounded by \sqrt{m} + \sqrt{n}, which is sharp. In other words, in regard
to the spectral norm, products of random and deterministic matrices behave
similarly to random matrices with independent entries. This result along
with the previous work of M. Rudelson and the author implies that the
smallest singular value of a random m times n matrix with i.i.d. mean zero
entries and bounded (4+epsilon)-th moment is bounded below by \sqrt{m}
- \sqrt{n-1} with high probability.
Archive classification: math.PR math.FA
Mathematics Subject Classification: 15A52; 46B09
Remarks: 34 pages, no figures
The source file(s), product-random-deterministic.tex: 81516 bytes, is(are)
stored in gzipped form as 0812.2432.gz with size 22kb. The corresponding
postcript file has gzipped size 147kb.
Submitted from: romanv at umich.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0812.2432
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http://arXiv.org/abs/0812.2432
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From alspach at fourier.math.okstate.edu Mon Dec 29 12:01:11 2008
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id 93B0FD044D; Mon, 29 Dec 2008 12:01:11 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Kenneth R. Davidson and Alex Wright
Message-Id: <20081229180111.93B0FD044D at fourier.math.okstate.edu>
Date: Mon, 29 Dec 2008 12:01:11 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Operator algebras with unique
preduals" by Kenneth R. Davidson and Alex Wright.
Abstract: We show that every free semigroup algebras has a (strongly)
unique Banach space predual. We also provide a new simpler proof that a
weak*-closed unital operator operator algebra containing a weak* dense
subalgebra of compact operators has a unique Banach space predual.
Archive classification: math.OA math.FA
Mathematics Subject Classification: 47L50; 46B04; 47L35
Remarks: 13 pages
The source file(s), DavidsonWright3a.tex: 44578 bytes, is(are) stored in
gzipped form as 0812.3159.gz with size 14kb. The corresponding postcript
file has gzipped size 96kb.
Submitted from: krdavids at uwaterloo.ca
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0812.3159
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http://arXiv.org/abs/0812.3159
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From alspach at fourier.math.okstate.edu Mon Dec 29 12:01:56 2008
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id D1742D044D; Mon, 29 Dec 2008 12:01:56 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Elisabeth Werner and Deping Ye
Message-Id: <20081229180156.D1742D044D at fourier.math.okstate.edu>
Date: Mon, 29 Dec 2008 12:01:56 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Inequalities for mixed $p$-affine
surface area" by Elisabeth Werner and Deping Ye.
Abstract: We prove new Alexandrov-Fenchel type inequalities and new
affine isoperimetric inequalities for mixed $p$-affine surface areas. We
introduce a new class of bodies, the illumination surface bodies, and
establish some of their properties. We show, for instance, that they are
not necessarily convex. We give geometric interpretations of $L_p$ affine
surface areas, mixed $p$-affine surface areas and other functionals via
these bodies. The surprising new element is that not necessarily convex
bodies provide the tool for these interpretations.
Archive classification: math.MG math.FA
Mathematics Subject Classification: 52A20, 53A15
Remarks: 39 pages
The source file(s), MixedLp.tex: 97032 bytes, is(are) stored in gzipped
form as 0812.4550.gz with size 26kb. The corresponding postcript file
has gzipped size 162kb.
Submitted from: elisabeth.werner at case.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0812.4550
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http://arXiv.org/abs/0812.4550
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