Messages from 2009
These are the messages distributed to the Banach list during 2009.
From alspach at fourier.math.okstate.edu Sun Jan 11 15:53:49 2009
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id 00EEFD09B4; Sun, 11 Jan 2009 15:53:48 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by V. P. Fonf, R. J. Smith and S. Troyanski
Message-Id: <20090111215349.00EEFD09B4 at fourier.math.okstate.edu>
Date: Sun, 11 Jan 2009 15:53:48 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "A note on fragmentability and
weak-G_delta sets" by V. P. Fonf, R. J. Smith and S. Troyanski.
Abstract: In terms of fragmentability, we describe a new class of
Banach spaces which do not contain weak-G_delta open bounded subsets. In
particular, none of these spaces is isomorphic to a separable polyhedral
space.
Archive classification: math.FA
The source file(s), frag-w-gdelta6.tex: 18701 bytes, is(are) stored in
gzipped form as 0812.4690.gz with size 7kb. The corresponding postcript
file has gzipped size 70kb.
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/0812.4690
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http://arXiv.org/abs/0812.4690
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From alspach at fourier.math.okstate.edu Sun Jan 11 15:55:45 2009
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id 52FDBD09B4; Sun, 11 Jan 2009 15:55:45 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Antonis Manoussakis and Anna Maria Pelczar
Message-Id: <20090111215545.52FDBD09B4 at fourier.math.okstate.edu>
Date: Sun, 11 Jan 2009 15:55:45 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Quasiminimality in mixed Tsirelson
spaces" by Antonis Manoussakis and Anna Maria Pelczar.
Abstract: We prove that mixed Tsirelson spaces T[(M_n,\theta_n)_n], where
M_n=A_n for all n or M_n=S_n for all n, are quasiminimal. We prove that
under certain assumptions on the sequence (\theta_n)_n the dual spaces
are also quasiminimal.
Archive classification: math.FA
Mathematics Subject Classification: 46B20; 46B45
Remarks: 25 pages
The source file(s), quasiminimality.tex: 87433 bytes, is(are) stored in
gzipped form as 0812.4711.gz with size 26kb. The corresponding postcript
file has gzipped size 163kb.
Submitted from: anna.pelczar at im.uj.edu.pl
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0812.4711
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From alspach at fourier.math.okstate.edu Sun Jan 11 15:56:52 2009
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id 45BA0D09B4; Sun, 11 Jan 2009 15:56:52 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Petr Hajek, Gilles Lancien and Antonin Prochazka
Message-Id: <20090111215652.45BA0D09B4 at fourier.math.okstate.edu>
Date: Sun, 11 Jan 2009 15:56:52 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Weak$^*$ dentability index
of spaces $C([0,\alpha])$" by Petr Hajek, Gilles Lancien and Antonin
Prochazka.
Abstract: We compute the weak$^*$-dentability index
of the spaces $C(K)$ where $K$ is a countable compact
space. Namely $\mbox{Dz}(C([0,\omega^{\omega^\alpha}])) =
\omega^{1+\alpha+1}$, whenever $0\le\alpha<\omega_1$. More generally,
$\mbox{Dz}(C(K))=\omega^{1+\alpha+1}$ if $K$ is a scattered compact whose
height $\eta(K)$ satisfies $\omega^\alpha<\eta(K)\leq \omega^{\alpha+1}$
with an $\alpha$ countable.
Archive classification: math.FA
Mathematics Subject Classification: 46B20, 46B03, 46E15
The source file(s), delta4revised.tex: 28188 bytes, is(are) stored in
gzipped form as 0901.0681.gz with size 9kb. The corresponding postcript
file has gzipped size 78kb.
Submitted from: protony at centrum.cz
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0901.0681
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http://arXiv.org/abs/0901.0681
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From alspach at fourier.math.okstate.edu Sun Jan 11 15:57:46 2009
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id 3688BD09B4; Sun, 11 Jan 2009 15:57:46 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by George Androulakis, Alexey I. Popov, Adi Tcaciuc and Vladimir G. Troitsky
Message-Id: <20090111215746.3688BD09B4 at fourier.math.okstate.edu>
Date: Sun, 11 Jan 2009 15:57:46 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Almost invariant half-spaces
of operators on Banach spaces" by George Androulakis, Alexey I. Popov,
Adi Tcaciuc and Vladimir G. Troitsky.
Abstract: We introduce and study the following modified version of the
Invariant Subspace Problem: whether every operator T on a Banach space
has an almost invariant half-space, that is, a subspace Y of infinite
dimension and infinite codimension such that Y is of finite codimension
in T(Y). We solve this problem in the affirmative for a large class of
operators which includes quasinilpotent weighted shift operators on l_p
(1 \le p < \infty) or c_0.
Archive classification: math.FA
Mathematics Subject Classification: 47A15
Remarks: 13 pages
The source file(s), invariantV9.tex: 38986 bytes, is(are) stored in
gzipped form as 0901.0752.gz with size 12kb. The corresponding postcript
file has gzipped size 95kb.
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/0901.0752
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http://arXiv.org/abs/0901.0752
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From alspach at fourier.math.okstate.edu Sun Jan 11 15:58:49 2009
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To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Christoph Kriegler and Christian Le Merdy
Message-Id: <20090111215849.29B8AD09B4 at fourier.math.okstate.edu>
Date: Sun, 11 Jan 2009 15:58:49 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Tensor extension properties of
C(K)-representations and applications to unconditionality" by Christoph
Kriegler and Christian Le Merdy.
Abstract: Let K be any compact set. The C^*-algebra C(K) is nuclear
and any bounded homomorphism from C(K) into B(H), the algebra of all
bounded operators on some Hilbert space H, is automatically completely
bounded. We prove extensions of these results to the Banach space setting,
using the key concept of R-boundedness. Then we apply these results to
operators with a uniformly bounded H^\infty-calculus, as well as to
unconditionality on L^p. We show that any unconditional basis on L^p
`is' an unconditional basis on L^2 after an appropriate change of density.
Archive classification: math.OA math.FA
Mathematics Subject Classification: 47A60; 46B28
The source file(s), CK-Art.tex: 73146 bytes, is(are) stored in gzipped
form as 0901.1025.gz with size 22kb. The corresponding postcript file
has gzipped size 145kb.
Submitted from: clemerdy at univ-fcomte.fr
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0901.1025
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http://arXiv.org/abs/0901.1025
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From alspach at fourier.math.okstate.edu Thu Jan 15 13:22:23 2009
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id 0E35BD09D8; Thu, 15 Jan 2009 13:22:22 -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: <20090115192223.0E35BD09D8 at fourier.math.okstate.edu>
Date: Thu, 15 Jan 2009 13:22:22 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Isometries on extremely non-complex
Banach spaces" by Piotr Koszmider, Miguel Martin and Javier Meri .
Abstract: We construct an example of a real Banach space whose group of
surjective isometries reduces to $\pm\Id$, but the group of surjective
isometries of its dual contains the group of isometries of a separable
infinite-dimensional Hilbert space as a subgroup. To do so, we present
examples of extremely non-complex Banach spaces (i.e.\ spaces $X$ such
that $\|\Id + T^2\|=1+\|T^2\|$ for every bounded linear operator $T$
on $X$) which are not of the form $C(K)$, and we study the surjective
isometries on this class of Banach spaces.
Archive classification: math.FA math.OA
Mathematics Subject Classification: Primary: 46B04. Secondary: 46B10,
46B20, 46E15, 47A99
Remarks: 20 pages
The source file(s), KoszmiderMartinMeri.tex: 84147 bytes, is(are)
stored in gzipped form as 0901.1512.gz with size 24kb. The corresponding
postcript file has gzipped size 138kb.
Submitted from: mmartins at ugr.es
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0901.1512
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http://arXiv.org/abs/0901.1512
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From alspach at fourier.math.okstate.edu Thu Jan 15 13:23:41 2009
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id D962CD09D8; Thu, 15 Jan 2009 13:23:41 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Markus Kunze
Message-Id: <20090115192341.D962CD09D8 at fourier.math.okstate.edu>
Date: Thu, 15 Jan 2009 13:23:41 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "A general Pettis integral and
applications to transition semigroups" by Markus Kunze.
Abstract: Motivated by applications to transition semigroups, we introduce
the notion of a norming dual pair and study a Pettis-type integral
on such pairs. In particular, we establish a sufficient condition for
integrability. We also introduce and study a class of semigroups on such
dual pairs which are an abstract version of transition semigroups. Using
our results, we prove conditions ensuring that a semigroup consisting of
kernel operators is Laplace transformable such that the Laplace transform
consists of kernel operators again.
Archive classification: math.FA
Mathematics Subject Classification: 46G10, 47D03, 60J35
Remarks: 19 pages, no figures
The source file(s), pettists.tex: 64277 bytes, is(are) stored in gzipped
form as 0901.1771.gz with size 19kb. The corresponding postcript file
has gzipped size 122kb.
Submitted from: m.c.kunze at tudelft.nl
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0901.1771
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http://arXiv.org/abs/0901.1771
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From alspach at fourier.math.okstate.edu Thu Jan 15 13:24:55 2009
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id 6DCA0D09D8; Thu, 15 Jan 2009 13:24:55 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Marius Junge and Javier Parcet
Message-Id: <20090115192455.6DCA0D09D8 at fourier.math.okstate.edu>
Date: Thu, 15 Jan 2009 13:24:55 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Maurey's factorization theory
for operator spaces" by Marius Junge and Javier Parcet.
Abstract: We provide an operator space version of Maurey's factorization
theorem. The main tool is an embedding result of independent
interest. Applications for operator spaces and noncommutative Lp spaces
are included.
Archive classification: math.FA math.OA
Mathematics Subject Classification: 46L07; 47B10
Remarks: 26 pages
The source file(s), Maurey.tex: 91710 bytes, is(are) stored in gzipped
form as 0901.1928.gz with size 28kb. The corresponding postcript file
has gzipped size 160kb.
Submitted from: javier.parcet at uam.es
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0901.1928
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http://arXiv.org/abs/0901.1928
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From alspach at fourier.math.okstate.edu Tue Feb 3 08:59:19 2009
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id D4BFFD0478; Tue, 3 Feb 2009 08:59:19 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Teodor Banica, Benoit Collins, and Jean-Marc Schlenker
Message-Id: <20090203145919.D4BFFD0478 at fourier.math.okstate.edu>
Date: Tue, 3 Feb 2009 08:59:19 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "On orthogonal matrices maximizing
the 1-norm" by Teodor Banica, Benoit Collins, and Jean-Marc Schlenker.
Abstract: For $U\in O(N)$ we have $||U||_1\leq N\sqrt{N}$, with equality
if and only if $U=H/\sqrt{N}$, with $H$ Hadamard matrix. Motivated by this
remark, we discuss in this paper the algebraic and analytic aspects of
the computation of the maximum of the 1-norm on $O(N)$. The main problem
is to compute the $k$-th moment of the 1-norm, with $k\to\infty$, and
we present a number of general comments in this direction.
Archive classification: math.OA math.CO
Remarks: 17 pages
The source file(s), omx.tex: 34742 bytes, is(are) stored in gzipped
form as 0901.2923.gz with size 11kb. The corresponding postcript file
has gzipped size 98kb.
Submitted from: banica at picard.ups-tlse.fr
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0901.2923
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http://arXiv.org/abs/0901.2923
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From alspach at fourier.math.okstate.edu Tue Feb 3 09:00:15 2009
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id ACFC5D0478; Tue, 3 Feb 2009 09:00:15 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Hanfeng Li and Anthony Weston
Message-Id: <20090203150015.ACFC5D0478 at fourier.math.okstate.edu>
Date: Tue, 3 Feb 2009 09:00:15 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Strict p-negative type of a
semi-metric space" by Hanfeng Li and Anthony Weston.
Abstract: Doust and Weston introduced a new method called "enhanced
negative type" for calculating a non trivial lower bound p(T) on
the supremal strict p-negative type of any given finite metric tree
(T,d). (In the context of finite metric trees any such lower bound p(T)
> 1 is deemed to be non trivial.) In this paper we refine the technique
of enhanced negative type and show how it may be applied more generally
to any finite semi-metric space (X,d) that is known to have strict
p-negative type for some non negative p. This allows us to significantly
improve the lower bounds on the supremal strict p-negative type of
finite metric trees that were given by Doust and Weston and, moreover,
leads in to one of our main results: The supremal p-negative type of
a finite semi-metric space cannot be strict. By way of application we
are then able to exhibit large classes of finite metric spaces (such as
finite isometric subspaces of Hadamard manifolds) that must have strict
p-negative type for some p > 1. We also show that if a semi-metric space
(finite or otherwise) has p-negative type for some p > 0, then it must
have strict q-negative type for all q in [0,p). This generalizes a well
known theorem of Schoenberg and leads to further applications.
Archive classification: math.FA math.MG
Mathematics Subject Classification: 46B20
Remarks: 12 pages
The source file(s), HLAW-Final.tex: 44858 bytes, is(are) stored in gzipped
form as 0901.0695.gz with size 13kb. The corresponding postcript file
has gzipped size 353kb.
Submitted from: westona at canisius.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0901.0695
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http://arXiv.org/abs/0901.0695
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From alspach at fourier.math.okstate.edu Tue Feb 3 09:01:07 2009
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id 40780D0478; Tue, 3 Feb 2009 09:01:07 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Petr Hajek and Antonin Prochazka
Message-Id: <20090203150107.40780D0478 at fourier.math.okstate.edu>
Date: Tue, 3 Feb 2009 09:01:07 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "$C^k$-smooth approximations of
LUR norms" by Petr Hajek and Antonin Prochazka.
Abstract: Let $X$ be a WCG Banach space admitting a $C^k$-Fr\' echet
smooth norm. Then $X$ admits an equivalent norm which is simultaneously
$C^1$-Fr\' echet smooth, LUR, and a uniform limit of $C^k$-Fr\' echet
smooth norms. If $X=C([0,\alpha])$, where $\alpha$ is an ordinal, then
the same conclusion holds true with $k=\infty$.
Archive classification: math.FA
Mathematics Subject Classification: 46B20, 46B03, 46E15
The source file(s), LUR3-13-1-2.tex: 67805 bytes
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0901.3623
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http://arXiv.org/abs/0901.3623
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From alspach at fourier.math.okstate.edu Tue Feb 3 09:02:22 2009
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id 8C162D0478; Tue, 3 Feb 2009 09:02:22 -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: <20090203150222.8C162D0478 at fourier.math.okstate.edu>
Date: Tue, 3 Feb 2009 09:02:22 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "An answer to the invariant subspace
problem" by Yun-Su Kim.
Abstract: To answer to the invariant subspace problem, we show that
every transcendental operator has a non-trivial invariant subspace.
Archive classification: math.FA
Mathematics Subject Classification: 47A15; 47S99.
The source file(s), invariant1.tex: 19822 bytes, is(are) stored in
gzipped form as 0901.3852.gz with size 6kb. The corresponding postcript
file has gzipped size 58kb.
Submitted from: Yun-Su.Kim at utoledo.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0901.3852
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http://arXiv.org/abs/0901.3852
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From alspach at fourier.math.okstate.edu Tue Feb 3 09:03:20 2009
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id B266BD0478; Tue, 3 Feb 2009 09:03:20 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Su Gao, Steve Jackson, and Bunyamin Sari
Message-Id: <20090203150320.B266BD0478 at fourier.math.okstate.edu>
Date: Tue, 3 Feb 2009 09:03:20 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "On the complexity of the uniform
homeomorphism relation between separable Banach spaces" by Su Gao,
Steve Jackson, and Bunyamin Sari.
Abstract: We consider the problem of determining the complexity of the
uniform homeomorphism relation between separable Banach spaces in the
Borel reducibility hierarchy of analytic equivalence relations. We prove
that the complete $K_{\sigma}$ equivalence relation is Borel reducible to
the uniform homeomorphism relation, and we also determine the possible
complexities of the relation when restricted to some small classes of
Banach spaces. Moreover, we determine the exact complexity of the local
equivalence relation between Banach spaces, namely that it is bireducible
with $K_{\sigma}$. Finally, we construct a class of mutually uniformly
homeomorphic Banach spaces such that the equality relation of countable
sets of real numbers is Borel reducible to the isomorphism relation on
the class.
Archive classification: math.FA math.LO
The source file(s), gjs_24.tex: 107663 bytes, is(are) stored in gzipped
form as 0901.4092.gz with size 33kb. The corresponding postcript file
has gzipped size 163kb.
Submitted from: bunyamin at unt.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0901.4092
or
http://arXiv.org/abs/0901.4092
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From alspach at fourier.math.okstate.edu Wed Feb 11 09:12:01 2009
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id 2BACDD0B7D; Wed, 11 Feb 2009 09:12:01 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Tim Netzer
Message-Id: <20090211151201.2BACDD0B7D at fourier.math.okstate.edu>
Date: Wed, 11 Feb 2009 09:12:01 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Representation and approximation
of positivity preservers" by Tim Netzer.
Abstract: We consider a closed set S in R^n and a linear operator \Phi
on the polynomial algebra R[X_1,...,X_n] that preserves nonnegative
polynomials, in the following sense: if f\geq 0 on S, then \Phi(f)\geq 0
on S as well. We show that each such operator is given by integration with
respect to a measure taking nonnegative functions as its values. This can
be seen as a generalization of Haviland's Theorem, which concerns linear
functionals on polynomial algebras. For compact sets S we use the result
to show that any nonnegativity preserving operator is a pointwise limit
of very simple nonnegativity preservers with finite dimensional range.
Archive classification: math.FA math.RA
Mathematics Subject Classification: 12E05; 15A04; 47B38; 44A60; 31B10;
41A36
Remarks: 17 pages
The source file(s), positivitypreservers.tex: 49618 bytes, is(are)
stored in gzipped form as 0902.0279.gz with size 15kb. The corresponding
postcript file has gzipped size 99kb.
Submitted from: tim.netzer at gmx.de
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0902.0279
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From alspach at fourier.math.okstate.edu Wed Feb 11 09:12:42 2009
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id A7F02D0B7D; Wed, 11 Feb 2009 09:12:42 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Daniel Pellegrino and Eduardo V. Teixeira
Message-Id: <20090211151242.A7F02D0B7D at fourier.math.okstate.edu>
Date: Wed, 11 Feb 2009 09:12:42 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Norm optimization problem for
linear operators in classical Banach spaces" by Daniel Pellegrino and
Eduardo V. Teixeira.
Abstract: We prove a linear operator T acting between l_p-type spaces
attains its norm if, and only if, there exists a not weakly null
maximizing sequence for T. For 1<p=q we show that any not weakly null
maximizing sequence for a norm attaining operator T from l_p to l_q has
a norm-convergent subsequence. We also prove that for any fixed x_0 in
l_p, the set of operators T from l_p to l_q that attain their norm at
x_0 is lineable. The same result is proven for the set of all operators
that do not attain their norms.
Archive classification: math.FA
Mathematics Subject Classification: 46B20
Remarks: 12 pages
The source file(s), pell-teix-JFA02Fev09.tex: 35990 bytes, is(are)
stored in gzipped form as 0902.0454.gz with size 10kb. The corresponding
postcript file has gzipped size 91kb.
Submitted from: dmpellegrino at gmail.com
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0902.0454
or
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From alspach at fourier.math.okstate.edu Wed Feb 11 09:13:21 2009
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id B0D85D0B7D; Wed, 11 Feb 2009 09:13:21 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Fernando Rambla-Barreno and Jarno Talponen
Message-Id: <20090211151321.B0D85D0B7D at fourier.math.okstate.edu>
Date: Wed, 11 Feb 2009 09:13:21 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Uniformly convex-transitive
function spaces" by Fernando Rambla-Barreno and Jarno Talponen.
Abstract: We introduce a property of Banach spaces called uniform
convex-transitivity, which falls between almost transitivity
and convex-transitivity. We will provide examples of uniformly
convex-transitive spaces. This property behaves nicely in connection
with some Banach-valued function spaces. As a consequence, we obtain
new examples of convex-transitive Banach spaces.
Archive classification: math.FA
Mathematics Subject Classification: 46B04; 46B20; 46B25
The source file(s), RotCad_acc.tex: 46198 bytes, is(are) stored in gzipped
form as 0902.0640.gz with size 14kb. The corresponding postcript file
has gzipped size 99kb.
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/0902.0640
or
http://arXiv.org/abs/0902.0640
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From alspach at fourier.math.okstate.edu Wed Feb 11 09:14:07 2009
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id 655E1D0B7D; Wed, 11 Feb 2009 09:14:07 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Gelu Popescu
Message-Id: <20090211151407.655E1D0B7D at fourier.math.okstate.edu>
Date: Wed, 11 Feb 2009 09:14:07 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Noncommutative hyperbolic geometry
on the unit ball of $B(H)^n$" by Gelu Popescu.
Abstract: In this paper we introduce a hyperbolic distance $\delta$
on the noncommutative open ball $[B(H)^n]_1$, where $B(H)$ is the
algebra of all bounded linear operators on a Hilbert space $H$,
which is a noncommutative extension of the Poincare-Bergman metric
on the open unit ball of $C^n$. We prove that $\delta$ is invariant
under the action of the group $Aut([B(H)^n]_1)$ of all free holomorphic
automorphisms of $[B(\cH)^n]_1$, and show that the $\delta$-topology and
the usual operator norm topology coincide on $[B(H)^n]_1$. Moreover, we
prove that $[B(H)^n]_1$ is a complete metric space with respect to the
hyperbolic metric and obtained an explicit formula for $\delta$ in terms
of the reconstruction operator. A Schwarz-Pick lemma for bounded free
holomorphic functions on $[B(H)^n]_1$, with respect to the hyperbolic
metric, is also obtained.
Archive classification: math.FA math.OA
Mathematics Subject Classification: 46L52; 32F45; 47L25; 32Q45
Remarks: 29 pages, to appear in J. Funct. Anal
The source file(s), hyperbolic.tex: 116240 bytes, is(are) stored in
gzipped form as 0810.0644.gz with size 30kb. The corresponding postcript
file has gzipped size 78kb.
Submitted from: gelu.popescu at utsa.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0810.0644
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From alspach at fourier.math.okstate.edu Wed Feb 11 09:15:06 2009
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id C6BA4D0B7D; Wed, 11 Feb 2009 09:15:06 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Paul F. X. Mueller
Message-Id: <20090211151506.C6BA4D0B7D at fourier.math.okstate.edu>
Date: Wed, 11 Feb 2009 09:15:06 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Extrapolation of vector valued
rearrangment operators II" by Paul F. X. Mueller.
Abstract: We determine the extrapolation law for rearrangement operators
of the Haar system on vector valued Hardy spaces.
Archive classification: math.FA
Mathematics Subject Classification: 46B42, 46B70, 47B37
The source file(s), pfxm_2009.bbl: 3113 bytes
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0902.1330
or
http://arXiv.org/abs/0902.1330
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From alspach at fourier.math.okstate.edu Wed Feb 11 09:16:39 2009
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id E1C02D0B7D; Wed, 11 Feb 2009 09:16:39 -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: <20090211151639.E1C02D0B7D at fourier.math.okstate.edu>
Date: Wed, 11 Feb 2009 09:16:39 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Isoperimetric and concentration
inequalities - Part I: Equivalence under curvature lower bound" by
Emanuel Milman.
Abstract: It is well known that isoperimetric inequalities imply in a
very general measure-metric-space setting appropriate concentration
inequalities. The former bound the boundary measure of sets as a
function of their measure, whereas the latter bound the measure of sets
separated from sets having half the total measure, as a function of
their mutual distance. We show that under a lower bound condition on the
Bakry--\'Emery curvature tensor of a Riemannian manifold equipped with a
density, completely general concentration inequalities imply back their
isoperimetric counterparts, up to dimension \emph{independent} bounds. As
a corollary, we can recover and extend all previously known (dimension
dependent) results by generalizing an isoperimetric inequality of Bobkov,
and provide a new proof that under natural convexity assumptions,
arbitrarily weak concentration implies a dimension independent linear
isoperimetric inequality. Further applications will be described in
a subsequent work. Contrary to previous attempts in this direction,
our method is entirely geometric, continuing the approach set forth by
Gromov and adapted to the manifold-with-density setting by Morgan.
Archive classification: math.DG math.FA
Remarks: 30 pages; second part involving numerous applications will appear
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0902.1560
or
http://arXiv.org/abs/0902.1560
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From alspach at fourier.math.okstate.edu Wed Feb 11 09:18:24 2009
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id CBD0FD0B7D; Wed, 11 Feb 2009 09:18:24 -0600 (CST)
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: <20090211151824.CBD0FD0B7D at fourier.math.okstate.edu>
Date: Wed, 11 Feb 2009 09:18:24 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Hereditarily indecomposable Banach
algebras of diagonal operators" by Spiros A. Argyros, Irene Deliyanni,
and Andreas G. Tolias.
Abstract: We provide a characterization of the Banach spaces $X$
with a Schauder basis $(e_n)_{n\in\mathbb{N}}$ which have the
property that the dual space $X^*$ is naturally isomorphic to the
space $\mathcal{L}_{diag}(X)$ of diagonal operators with respect
to $(e_n)_{n\in\mathbb{N}}$ . We also construct a Hereditarily
Indecomposable Banach space ${\mathfrak X}_D$ with a Schauder basis
$(e_n)_{n\in\mathbb{N}}$ such that ${\mathfrak X}^*_D$ is isometric
to $\mathcal{L}_{diag}({\mathfrak X}_D)$ with these Banach algebras
being Hereditarily Indecomposable. Finally, we show that every $T\in
\mathcal{L}_{diag}({\mathfrak X}_D)$ is of the form $T=\lambda I+K$,
where $K$ is a compact operator.
Archive classification: math.FA
Mathematics Subject Classification: 46B28, 47L10, 46B20, 46B03.
Remarks: 35 pages, submitted for publication to Israel J. Math
The source file(s), HI_DIAG.tex.bak: 124849 bytes, is(are) stored in
gzipped form as 0902.1646.gz with size 33kb. The corresponding postcript
file has gzipped size 188kb.
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/0902.1646
or
http://arXiv.org/abs/0902.1646
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From alspach at fourier.math.okstate.edu Thu Feb 19 13:41:11 2009
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id D3C9FD0B71; Thu, 19 Feb 2009 13:41:11 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by M.I. Ostrovskii, V.S. Shulman, and L. Turowska
Message-Id: <20090219194111.D3C9FD0B71 at fourier.math.okstate.edu>
Date: Thu, 19 Feb 2009 13:41:11 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Fixed points of groups of
biholomorphic transformations of operator balls using the midpoint
property" by M.I. Ostrovskii, V.S. Shulman, and L. Turowska.
Abstract: A new techniques for proving the existence of fixed points
of groups of isometric transformations is developed. It is used to
find simpler proofs and real-case versions of previous results of the
authors. In particular, we use the obtained fixed point theorem to show
that a bounded representation in a separable, real or complex, Hilbert
space which has an invariant indefinite quadratic form with finitely
many negative squares is orthogonalizable or unitarizable (equivalent
to an orthogonal or unitary representation), respectively.
Archive classification: math.MG math.OA
Mathematics Subject Classification: 47H10; 47B50; 22D10; 54E35
The source file(s), midpoints10.tex: 42873 bytes, is(are) stored in
gzipped form as 0902.1784.gz with size 14kb. The corresponding postcript
file has gzipped size 109kb.
Submitted from: ostrovsm at stjohns.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0902.1784
or
http://arXiv.org/abs/0902.1784
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From alspach at fourier.math.okstate.edu Thu Feb 19 13:44:09 2009
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Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id 37C0BD0B71; Thu, 19 Feb 2009 13:44:09 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Jihoon Lee, Paul F. X. Mueller and Stefan Mueller
Message-Id: <20090219194409.37C0BD0B71 at fourier.math.okstate.edu>
Date: Thu, 19 Feb 2009 13:44:09 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Compensated compactness, separately
convex functions and interpolatory estimates between Riesz transforms and
Haar projections" by Jihoon Lee, Paul F. X. Mueller and Stefan Mueller .
Abstract: We prove sharp interpolatory estimates between Riesz Transforms
and directional Haar projections. We obtain applications to the theory
of compensated compactness and prove a conjecture of L. Tartar on
semi-continuity of separately convex integrands.
Archive classification: math.FA
Mathematics Subject Classification: 49J45; 42C15; 35B35
The source file(s), lmm.bbl: 4934 bytes
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0902.2102
or
http://arXiv.org/abs/0902.2102
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From alspach at fourier.math.okstate.edu Thu Feb 19 13:46:18 2009
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id D11A3D0B71; Thu, 19 Feb 2009 13:46:18 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Pascal Lefevre, Daniel Li, and Herve Queffelec , Luis Rodriguez-Piazza
Message-Id: <20090219194618.D11A3D0B71 at fourier.math.okstate.edu>
Date: Thu, 19 Feb 2009 13:46:18 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Thin sets of integers in Harmonic
analysis and p-stable random Fourier series" by Pascal Lefevre, Daniel
Li, Herve Queffelec, and Luis Rodriguez-Piazza.
Abstract: We investigate the behavior of some thin sets of integers
defined through random trigonometric polynomial when one replaces Gaussian
or Rademacher variables by p-stable ones, with 1 < p < 2. We show that in
one case this behavior is essentially the same as in the Gaussian case,
whereas in another case, this behavior is entirely different.
Archive classification: math.FA
Mathematics Subject Classification: Primary: 43A46 ; secondary: 42A55;
42A61; 60G52
The source file(s), p-stableBETISfinale.tex: 72111 bytes, is(are)
stored in gzipped form as 0902.2625.gz with size 21kb. The corresponding
postcript file has gzipped size 143kb.
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/0902.2625
or
http://arXiv.org/abs/0902.2625
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From alspach at fourier.math.okstate.edu Thu Feb 19 13:48:10 2009
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 0AF73D0B71; Thu, 19 Feb 2009 13:48:09 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Volker Thuerey
Message-Id: <20090219194810.0AF73D0B71 at fourier.math.okstate.edu>
Date: Thu, 19 Feb 2009 13:48:09 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Angles and polar coordinates in
real normed spaces" by Volker Thuerey.
Abstract: We try to create a wise definition of 'angle spaces'. Based on
an idea of Ivan Singer, we introduce a new concept of an angle in real
Banach spaces, which generalizes the euclidean angle in Hilbert spaces.
With this angle it is shown that in every two-dimensional subspace of a
real Banach space we can describe elements uniquely by polar coordinates.
Archive classification: math.FA math.MG
Mathematics Subject Classification: 52A10
Remarks: 21 pages, 8 figures
The source file(s), anglepaper.tex: 114700 bytes
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0902.2731
or
http://arXiv.org/abs/0902.2731
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From alspach at fourier.math.okstate.edu Thu Feb 19 13:49:56 2009
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 299F6D0B71; Thu, 19 Feb 2009 13:49:56 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Boris Burshteyn
Message-Id: <20090219194956.299F6D0B71 at fourier.math.okstate.edu>
Date: Thu, 19 Feb 2009 13:49:56 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Strictly singular uniform
$\lambda-$adjustment in Banach spaces" by Boris Burshteyn.
Abstract: Based on the recently introduced uniform $\lambda-$adjustment
for closed subspaces of Banach spaces we extend the concept of the
strictly singular and finitely strictly singular operators to the
sequences of closed subspaces and operators in Banach spaces and prove
theorems about lower semi--Fredholm stability. We also state some new open
questions related to strict singularity and the geometry of Banach spaces.
Archive classification: math.FA
Mathematics Subject Classification: 32A70; 46A32; 46B50; 47A53; 47A55;
47B07
Remarks: 23 pages
The source file(s), boris997paper2.tex: 117155 bytes, is(are) stored in
gzipped form as 0902.3045.gz with size 24kb. The corresponding postcript
file has gzipped size .
Submitted from: boris997 at astound.net
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0902.3045
or
http://arXiv.org/abs/0902.3045
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From alspach at fourier.math.okstate.edu Thu Feb 19 13:51:05 2009
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 3F801D0B71; Thu, 19 Feb 2009 13:51:05 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Stefan Geiss and Paul F. X. Mueller
Message-Id: <20090219195105.3F801D0B71 at fourier.math.okstate.edu>
Date: Thu, 19 Feb 2009 13:51:05 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Extrapolation of vector valued
rearrangement operators" by Stefan Geiss and Paul F. X. Mueller.
Abstract: We study the extrapolation properties of vector valued
rearrangement operators acting on the normalized Haar basis in $L^p_X .$
Archive classification: math.FA
Mathematics Subject Classification: 46B42, 46B70, 47B37
The source file(s), geiss_mueller.tex: 60833 bytes, is(are) stored in
gzipped form as 0902.1962.gz with size 18kb. The corresponding postcript
file has gzipped size 130kb.
Submitted from: pfxm at bayou.uni-linz.ac.at
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0902.1962
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http://arXiv.org/abs/0902.1962
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From alspach at fourier.math.okstate.edu Thu Feb 19 13:52:30 2009
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id E99CAD0B71; Thu, 19 Feb 2009 13:52:30 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Stefan Geiss and Paul F. X. Mueller
Message-Id: <20090219195230.E99CAD0B71 at fourier.math.okstate.edu>
Date: Thu, 19 Feb 2009 13:52:30 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Haar type and Carleson constants"
by Stefan Geiss and Paul F. X. Mueller.
Abstract: We determine the sub-collections of the dyadic intervals
that are able to detect the Haar type of a Banach space. The underlying
dichotomy is expressed in terms of the Carleson packing condition.
Archive classification: math.FA
Mathematics Subject Classification: 46B07 ; 46B20
Citation: Bull. Lond. Math. Soc. 40 (2008) 432-438
The source file(s), paper_revised050108.tex: 20601 bytes, is(are) stored
in gzipped form as 0902.1955.gz with size 7kb. The corresponding postcript
file has gzipped size 74kb.
Submitted from: pfxm at bayou.uni-linz.ac.at
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0902.1955
or
http://arXiv.org/abs/0902.1955
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From alspach at fourier.math.okstate.edu Thu Feb 19 13:53:39 2009
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id 95F0ED0B71; Thu, 19 Feb 2009 13:53:39 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Domingo Garcia, Bogdan Grecu, Manuel Maestre , Miguel Martin, and Javier Meri
Message-Id: <20090219195339.95F0ED0B71 at fourier.math.okstate.edu>
Date: Thu, 19 Feb 2009 13:53:39 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Two-dimensional Banach spaces
with polynomial numerical index zero" by Domingo Garcia, Bogdan Grecu,
Manuel Maestre, Miguel Martin, and Javier Meri .
Abstract: We study two-dimensional Banach spaces with polynomial numerical
indices equal to zero.
Archive classification: math.FA
Mathematics Subject Classification: Primary 46B04; Secondary 46B20,
46G25, 47A12
Remarks: 12 pages, to appear in Linear Algebra Appl
The source file(s), GarciaGrecuMaestreMartinMeri.tex: 43362 bytes, is(are)
stored in gzipped form as 0902.3234.gz with size 14kb. The corresponding
postcript file has gzipped size 103kb.
Submitted from: mmartins at ugr.es
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0902.3234
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http://arXiv.org/abs/0902.3234
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From alspach at fourier.math.okstate.edu Fri Mar 6 08:08:15 2009
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id 1D60FD0B98; Fri, 6 Mar 2009 08:08:15 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Gines Lopez Perez
Message-Id: <20090306140815.1D60FD0B98 at fourier.math.okstate.edu>
Date: Fri, 6 Mar 2009 08:08:15 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Banach spaces with many boundedly
complete basic sequences failing PCP" by Gines Lopez Perez.
Abstract: We prove that there exist Banach spaces not containing
$\ell_1$, failing the point of continuity property and satisfying that
every semi-normalized basic sequence has a boundedly complete basic
subsequence. This answers in the negative the problem of the Remark 2
in H. P. Rosenthal. "Boundedly complete weak-Cauchy sequences in Banach
spaces with PCP." J. Funct. Anal. 253 (2007) 772-781.
Archive classification: math.FA
Mathematics Subject Classification: 46B20; 46B22
The source file(s), pcp.tex: 25505 bytes, is(are) stored in gzipped
form as 0902.3422.gz with size 8kb. The corresponding postcript file
has gzipped size 72kb.
Submitted from: glopezp at ugr.es
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0902.3422
or
http://arXiv.org/abs/0902.3422
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From alspach at fourier.math.okstate.edu Fri Mar 6 08:09:34 2009
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X-Original-To: alspach
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id 08A5BD0B98; Fri, 6 Mar 2009 08:09:33 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by M.I. Ostrovskii and V.S. Shulman
Message-Id: <20090306140934.08A5BD0B98 at fourier.math.okstate.edu>
Date: Fri, 6 Mar 2009 08:09:33 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Weak operator topology, operator
ranges and operator equations via Kolmogorov widths" by M.I. Ostrovskii
and V.S. Shulman.
Abstract: Let $K$ be an absolutely convex infinite-dimensional compact
in a Banach space $\mathcal{X}$. The set of all bounded linear operators
$T$ on $\mathcal{X}$ satisfying $TK\supset K$ is denoted by $G(K)$. Our
starting point is the study of the closure $WG(K)$ of $G(K)$ in the
weak operator topology. We prove that $WG(K)$ contains the algebra
of all operators leaving $\overline{\lin(K)}$ invariant. More precise
results are obtained in terms of the Kolmogorov $n$-widths of the compact
$K$. The obtained results are used in the study of operator ranges and
operator equations.
Archive classification: math.FA math.OA
Mathematics Subject Classification: 47A05; 41A46; 47A30; 47A62
The source file(s), ostshu.tex: 68035 bytes, is(are) stored in gzipped
form as 0902.3483.gz with size 21kb. The corresponding postcript file
has gzipped size 139kb.
Submitted from: ostrovsm at stjohns.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0902.3483
or
http://arXiv.org/abs/0902.3483
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From alspach at fourier.math.okstate.edu Fri Mar 6 08:11:51 2009
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id CDB09D0B98; Fri, 6 Mar 2009 08:11:51 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by R. Lechner
Message-Id: <20090306141151.CDB09D0B98 at fourier.math.okstate.edu>
Date: Fri, 6 Mar 2009 08:11:51 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "An interpolatory estimate for
the UMD-valued directional Haar projection" by R. Lechner.
Abstract: We establish an vector-valued interpolatory estimate between
directional Haar projections and Riesz transforms.
Archive classification: math.FA
The source file(s), images/ring_domain--contained_in_cube.eps: 34448 bytes
images/ring_domain--cubes_contained_in_covering.eps: 34423
bytes images/ring_domain--cubes_in_between.eps: 34072 bytes
images/ring_domain.eps: 29005 bytes images/shifting_a_strip.eps:
57908 bytes main.bbl: 5508 bytes main.tex: 91054 bytes, is(are) stored
in gzipped
form as 0902.3597.tar.gz with size 69kb. The corresponding postcript
file %has gzipped size 197kb.
Submitted from: lechner at bayou.uni-linz.ac.at
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0902.3597
or
http://arXiv.org/abs/0902.3597
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From alspach at fourier.math.okstate.edu Fri Mar 6 08:17:46 2009
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id 28E0DD0B98; Fri, 6 Mar 2009 08:17:46 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Sonia Sharma
Message-Id: <20090306141746.28E0DD0B98 at fourier.math.okstate.edu>
Date: Fri, 6 Mar 2009 08:17:46 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Operator Spaces which are one-sided
M-Ideals in their bidual" by Sonia Sharma.
Abstract: We generalize an important class of Banach spaces, namely the
$M$-embedded Banach spaces, to the non-commutative setting of operator
spaces. The one-sided $M$-embedded operator spaces are the operator
spaces which are one-sided $M$-ideals in their second dual. We show
that several properties from the classical setting, like the stability
under taking subspaces and quotients, unique extension property, Radon
Nikod$\acute {\rm{y}}$m Property and many more, are retained in the
non-commutative setting. We also discuss the dual setting of one-sided
$L$-embedded operator spaces.
Archive classification: math.OA math.FA
Mathematics Subject Classification: 46L07, 46B20, 46H10
Remarks: 17 pages
The source file(s), sonia_paper.tex: 68819 bytes, is(are) stored in
gzipped form as 0902.4257.gz with size 19kb. The corresponding postcript
file has gzipped size 119kb.
Submitted from: sonia at math.uh.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0902.4257
or
http://arXiv.org/abs/0902.4257
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From alspach at fourier.math.okstate.edu Fri Mar 6 08:19:21 2009
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id 10DB4D0B98; Fri, 6 Mar 2009 08:19:20 -0600 (CST)
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: <20090306141921.10DB4D0B98 at fourier.math.okstate.edu>
Date: Fri, 6 Mar 2009 08:19:20 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Thickness of the unit sphere,
$\ell_1$-types, and the almost Daugavet property" by Vladimir Kadets,
Varvara Shepelska and Dirk Werner.
Abstract: We study those Banach spaces $X$ for which $S_X$ does not admit
a finite $\eps$-net consisting of elements of $S_X$ for any $\eps < 2$. We
give characterisations of this class of spaces in terms of $\ell_1$-type
sequences and in terms of the almost Daugavet property. The main result of
the paper is: a separable Banach space $X$ is isomorphic to a space from
this class if and only if $X$ contains an isomorphic copy of $\ell_1$.
Archive classification: math.FA
Mathematics Subject Classification: 46B04
Remarks: To appear in Houston Journal of Mathematics
The source file(s), , is(are) stored in gzipped form as with size . The
corresponding postcript file has gzipped size .
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/0902.4503
or
http://arXiv.org/abs/0902.4503
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From alspach at fourier.math.okstate.edu Fri Mar 6 08:20:35 2009
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id E0A90D0B98; Fri, 6 Mar 2009 08:20:35 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Antonio Aviles
Message-Id: <20090306142035.E0A90D0B98 at fourier.math.okstate.edu>
Date: Fri, 6 Mar 2009 08:20:35 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "The unit ball of the Hilbert
space in its weak topology" by Antonio Aviles.
Abstract: We show that the unit ball of a Hilbert space in its weak
topology is a continuous image of the countable power of the Alexandroff
compactification of a discrete set, and we deduce some combinatorial
properties of its lattice of open sets which are not shared by the balls
of other equivalent norms when the space is nonseparable.
Archive classification: math.GN math.FA
Mathematics Subject Classification: 46B50, 46B26, 46C05, 54B30, 54D15.
Citation: Proc. Am. Math. Soc. 135, No. 3, 833-836 (2007)
The source file(s), HilbertBall.tex: 14810 bytes, is(are) stored in
gzipped form as 0903.0154.gz with size 5kb. The corresponding postcript
file has gzipped size 57kb.
Submitted from: avileslo at um.es
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0903.0154
or
http://arXiv.org/abs/0903.0154
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From alspach at fourier.math.okstate.edu Fri Mar 6 08:22:23 2009
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Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id 55BD7D0B98; Fri, 6 Mar 2009 08:22:23 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Antonio Aviles
Message-Id: <20090306142223.55BD7D0B98 at fourier.math.okstate.edu>
Date: Fri, 6 Mar 2009 08:22:23 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Automatic norm continuity of weak*
homeomorphisms" by Antonio Aviles.
Abstract: We prove that in a certain class E of nonseparable Banach spaces
the norm topology of the dual ball is definable in terms of its weak*
topology. Thus, any weak* homeomorphism between duals balls of spaces
in E is automatically norm-continuous.
Archive classification: math.FA math.GN
Mathematics Subject Classification: 46B26
Remarks: To appear in Houston J. Math
The source file(s), weaknormH.tex: 27312 bytes, is(are) stored in gzipped
form as 0903.0157.gz with size 8kb. The corresponding postcript file
has gzipped size 67kb.
Submitted from: avileslo at um.es
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0903.0157
or
http://arXiv.org/abs/0903.0157
or by email in unzipped form by transmitting an empty message with
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From alspach at fourier.math.okstate.edu Fri Mar 6 08:23:48 2009
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X-Original-To: alspach
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Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id D3E44D0B98; Fri, 6 Mar 2009 08:23:48 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Antonio Aviles
Message-Id: <20090306142348.D3E44D0B98 at fourier.math.okstate.edu>
Date: Fri, 6 Mar 2009 08:23:48 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Renormings of the dual of James
tree spaces" by Antonio Aviles.
Abstract: We discuss renorming properties of the dual of a James tree
space JT. We present examples of weakly Lindelof determined JT such that
JT* admits neither strictly convex nor Kadec renorming and of weakly
compactly generated JT such that JT* does not admit Kadec renorming
although it is strictly convexifiable.
Archive classification: math.FA
Mathematics Subject Classification: 46B26
Citation: Bull. Lond. Math. Soc. 39, No. 2, 221-231 (2007)
The source file(s), RosenthalLUR.tex: 41974 bytes, is(are) stored in
gzipped form as 0903.0158.gz with size 13kb. The corresponding postcript
file has gzipped size 91kb.
Submitted from: avileslo at um.es
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0903.0158
or
http://arXiv.org/abs/0903.0158
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 Fri Mar 6 08:25:05 2009
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 C77FDD0B98; Fri, 6 Mar 2009 08:25:05 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Antonio Aviles
Message-Id: <20090306142505.C77FDD0B98 at fourier.math.okstate.edu>
Date: Fri, 6 Mar 2009 08:25:05 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "The number of weakly compact
convex subsets of the Hilbert space" by Antonio Aviles.
Abstract: We prove that for k an uncountable cardinal, there exist 2^k
many non homeomorphic weakly compact convex subsets of weight k in the
Hilbert space of density k.
Archive classification: math.GN math.FA
Mathematics Subject Classification: 54B35, 52A07
Citation: Topology Appl. 155, No. 15, 1720-1725 (2008)
The source file(s), Manyconvex.tex: 28889 bytes, is(are) stored in
gzipped form as 0903.0163.gz with size 9kb. The corresponding postcript
file has gzipped size 71kb.
Submitted from: avileslo at um.es
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0903.0163
or
http://arXiv.org/abs/0903.0163
or by email in unzipped form by transmitting an empty message with
subject line
uget 0903.0163
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to: math at arXiv.org.
From alspach at fourier.math.okstate.edu Fri Mar 6 08:27:04 2009
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 96097D0B98; Fri, 6 Mar 2009 08:27:04 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Antonio Aviles
Message-Id: <20090306142704.96097D0B98 at fourier.math.okstate.edu>
Date: Fri, 6 Mar 2009 08:27:04 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "The number of weakly compact sets
which generate a Banach space" by Antonio Aviles.
Abstract: We consider the cardinal invariant CG(X) of the minimal number
of weakly compact subsets which generate a Banach space X. We study the
behavior of this index when passing to subspaces, its relation with the
Lindelof number in the weak topology and other related questions.
Archive classification: math.FA math.GN
Citation: Israel J. Math. 159, 189-204 (2007)
The source file(s), CGX.tex: 47171 bytes, is(are) stored in gzipped
form as 0903.0063.gz with size 15kb. The corresponding postcript file
has gzipped size 94kb.
Submitted from: avileslo at um.es
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0903.0063
or
http://arXiv.org/abs/0903.0063
or by email in unzipped form by transmitting an empty message with
subject line
uget 0903.0063
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to: math at arXiv.org.
From alspach at fourier.math.okstate.edu Wed Mar 11 14:29:37 2009
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 BF51DD0BBF; Wed, 11 Mar 2009 14:29:37 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Antonio Aviles
Message-Id: <20090311192937.BF51DD0BBF at fourier.math.okstate.edu>
Date: Wed, 11 Mar 2009 14:29:37 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Countable products of spaces of
finite sets" by Antonio Aviles.
Abstract: We consider the compact spaces sigma_n(I) of subsets of
an uncountable set I of cardinality at most n and their countable
products. We give a complete classification of their Banach spaces of
continuous functions and a partial topological classification.
Archive classification: math.GN math.FA
Mathematics Subject Classification: 46B50, 46B26, 54B10, 54D30
Citation: Fundamenta Math. 186, No. 2, 147-159 (2005)
The source file(s), SigmakProducts.tex: 40152 bytes, is(are) stored in
gzipped form as 0903.0068.gz with size 12kb. The corresponding postcript
file has gzipped size 102kb.
Submitted from: avileslo at um.es
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0903.0068
or
http://arXiv.org/abs/0903.0068
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uget 0903.0068
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to: math at arXiv.org.
From alspach at fourier.math.okstate.edu Wed Mar 11 14:31:31 2009
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 3BE0DD0BBF; Wed, 11 Mar 2009 14:31:31 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by M.I. Ostrovskii
Message-Id: <20090311193131.3BE0DD0BBF at fourier.math.okstate.edu>
Date: Wed, 11 Mar 2009 14:31:31 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Expansion properties of metric
spaces not admitting a coarse embedding into a Hilbert space" by
M.I. Ostrovskii.
Abstract: The main purpose of the paper is to find some expansion
properties of locally finite metric spaces which do not embed coarsely
into a Hilbert space. The obtained result is used to show that infinite
locally finite graphs excluding a minor embed coarsely into a Hilbert
space. In an appendix a direct proof of the latter result is given.
Archive classification: math.MG math.FA
Mathematics Subject Classification: 46B20; 05C12; 54E35
The source file(s), ExpansionArXivversion.tex: 22813 bytes, is(are)
stored in gzipped form as 0903.0607.gz with size 8kb. The corresponding
postcript file has gzipped size 80kb.
Submitted from: ostrovsm at stjohns.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0903.0607
or
http://arXiv.org/abs/0903.0607
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From alspach at fourier.math.okstate.edu Wed Mar 11 14:33:07 2009
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id E6F43D0BBF; Wed, 11 Mar 2009 14:33:07 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Antonio Aviles and Yolanda Moreno
Message-Id: <20090311193307.E6F43D0BBF at fourier.math.okstate.edu>
Date: Wed, 11 Mar 2009 14:33:07 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Automorphisms in spaces of
continuous functions on Valdivia compacta" by Antonio Aviles and Yolanda
Moreno.
Abstract: We show that there are no automorphic Banach spaces of the
form C(K) with K continuous image of Valdivia compact except the spaces
c0(I). Nevertheless, when K is an Eberlein compact of finite height such
that C(K) is not isomorphic to c0(I), all isomorphism between subspaces
of C(K) of size less than aleph_omega extend to automorphisms of C(K).
Archive classification: math.FA math.GN
Mathematics Subject Classification: 46B26
Citation: Topology Appl. 155, No. 17-18, 2027-2030 (2008)
The source file(s), AutomorficosValdivia.tex: 19190 bytes, is(are)
stored in gzipped form as 0903.0658.gz with size 7kb. The corresponding
postcript file has gzipped size 61kb.
Submitted from: avileslo at um.es
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0903.0658
or
http://arXiv.org/abs/0903.0658
or by email in unzipped form by transmitting an empty message with
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uget 0903.0658
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to: math at arXiv.org.
From alspach at fourier.math.okstate.edu Wed Mar 11 14:36:10 2009
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id 8D13AD0BBF; Wed, 11 Mar 2009 14:36:10 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Antonio Aviles, Bernardo Cascales, Vladimir Kadets, and Alexander Leonov
Message-Id: <20090311193610.8D13AD0BBF at fourier.math.okstate.edu>
Date: Wed, 11 Mar 2009 14:36:10 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "The Schur l1 Theorem for filters"
by Antonio Aviles, Bernardo Cascales, Vladimir Kadets, and Alexander
Leonov.
Abstract: We study the classes of filters F on N such that the weak
and strong F-convergence of sequences in l1 coincide. We study also
an analogue of l1 weak sequential completeness theorem for filter
convergence.
Archive classification: math.FA math.GN
Citation: Journal of Mathematical Physics, Analysis, Geometry: 2007, v. 3,
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0903.0659
or
http://arXiv.org/abs/0903.0659
or by email in unzipped form by transmitting an empty message with
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From alspach at fourier.math.okstate.edu Wed Mar 11 14:38:45 2009
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Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id E4B4DD0BBF; Wed, 11 Mar 2009 14:38:45 -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: <20090311193845.E4B4DD0BBF at fourier.math.okstate.edu>
Date: Wed, 11 Mar 2009 14:38:45 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Cotype and absolutely summing
linear operators" by Geraldo Botelho, Daniel Pellegrino and Pilar Rueda.
Abstract: Cotype is used in this paper to prove new results concerning
the existence of non-absolutely summing linear operators between Banach
spaces. We derive consequences that extend/generalize/ complement some
classic results. We also point out that some of our results are sharp.
Archive classification: math.FA
Mathematics Subject Classification: 46G25, 45B20
Remarks: 8 pages
The source file(s), linear_results03March2009-without.tex: 40121 bytes,
is(are) stored in gzipped form as 0903.0583.gz with size 12kb. The
corresponding postcript file has gzipped size 78kb.
Submitted from: dmpellegrino at gmail.com
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0903.0583
or
http://arXiv.org/abs/0903.0583
or by email in unzipped form by transmitting an empty message with
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uget 0903.0583
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From alspach at fourier.math.okstate.edu Wed Mar 11 14:39:59 2009
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X-Original-To: alspach
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Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id A59C9D0BBF; Wed, 11 Mar 2009 14:39:59 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Antonio Aviles
Message-Id: <20090311193959.A59C9D0BBF at fourier.math.okstate.edu>
Date: Wed, 11 Mar 2009 14:39:59 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Weakly countably determined spaces
of high complexity" by Antonio Aviles.
Abstract: We prove that there exist weakly countably determined spaces
of complexity higher than coanalytic. On the other hand, we also show
that coanalytic sets can be characterized by the existence of a cofinal
adequate family of closed sets. Therefore the Banach spaces constructed
by means of these families have at most coanalytic complexity.
Archive classification: math.FA
Mathematics Subject Classification: 46B26
Citation: Stud. Math. 185, No. 3, 291-303 (2008)
Remarks: This version differs from the published in Studia Mathematica
in that
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0903.0852
or
http://arXiv.org/abs/0903.0852
or by email in unzipped form by transmitting an empty message with
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uget 0903.0852
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From alspach at fourier.math.okstate.edu Wed Mar 11 14:40:54 2009
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id 3403FD0BBF; Wed, 11 Mar 2009 14:40:54 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Alexander Koldobsky
Message-Id: <20090311194054.3403FD0BBF at fourier.math.okstate.edu>
Date: Wed, 11 Mar 2009 14:40:54 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Positive definite functions and
multidimensional versions of random variables" by Alexander Koldobsky.
Abstract: We say that a random vector $X=(X_1,...,X_n)$ in $R^n$ is an
$n$-dimensional version of a random variable $Y$ if for any $a\in R^n$
the random variables $\sum a_iX_i$ and $\gamma(a) Y$ are identically
distributed, where $\gamma:R^n\to [0,\infty)$ is called the standard
of $X.$ An old problem is to characterize those functions $\gamma$
that can appear as the standard of an $n$-dimensional version. In this
paper, we prove the conjecture of Lisitsky that every standard must be
the norm of a space that embeds in $L_0.$ This result is almost optimal,
as the norm of any finite dimensional subspace of $L_p$ with $p\in (0,2]$
is the standard of an $n$-dimensional version ($p$-stable random vector)
by the classical result of P.L\`evy. An equivalent formulation is that if
a function of the form $f(\|\cdot\|_K)$ is positive definite on $R^n,$
where $K$ is an origin symmetric star body in $R^n$ and $f:R\to R$ is
an even continuous function, then either the space $(R^n,\|\cdot\|_K)$
embeds in $L_0$ or $f$ is a constant function. Combined with known facts
about embedding in $L_0,$ this result leads to several generalizations
of the solution of Schoenberg's problem on positive definite functions.
Archive classification: math.PR math.FA
Mathematics Subject Classification: 60E05
The source file(s), posdef1.tex: 32112 bytes, is(are) stored in gzipped
form as 0903.1433.gz with size 10kb. The corresponding postcript file
has gzipped size 86kb.
Submitted from: koldobskiya at missouri.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0903.1433
or
http://arXiv.org/abs/0903.1433
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From: Dale Alspach <alspach at math.okstate.edu>
Subject: [Banach] Conference at Universidad Politecnica de Valencia (Spain)
Date: Sat, 14 Mar 2009 06:52:12 -0500
To: banach at math.okstate.edu
A meeting on
HYPERCYCLICITY AND CHAOS FOR LINEAR OPERATORS AND SEMIGROUPS
will take place at the Universidad Politecnica de Valencia (Spain),
June, 1-5, 2009. We will soon have the Conference webpage activated with
information concerning registration, accommodation, venue, etc.
http://www.hypercyclic.upv.es/
Our intention is to combine plenary and short talks about recent work
and open problems in this highly active area. In the event that you are
interested in learning more about this exciting topic, please come to
Valencia the first week of June-2009 for this meeting.
The Scientific Committee
Richard Aron
Juan Bes
Karl Grosse-Erdmann
Alfred Peris
_______________________________________________
Banach mailing list
Banach at math.okstate.edu
https://mail.math.okstate.edu/mailman/listinfo/banach
From: Francisco Javier Garcia Pacheco <fgarcia at math.tamu.edu>
Subject: [Banach] IV International Course on Mathematical Analysis in Andalusia
Date: Sat, 14 Mar 2009 20:25:35 -0500
To: banach at math.okstate.edu
Dear Colleagues,
The IV International Course on Mathematical Analysis in Andalusia will be
held in the University of Cadiz, Spain (EU), from the 8th to the 12th of
September 2009. This edition will be dedicated to celebrate the life and
work of Dr. Antonio Aizpuru Tomas, full professor at the Math Department
of the University of Cadiz, who suddenly passed away on May 1st, 2008. He
was mainly responsible for the development of the studies of mathematics
in Cadiz and for the research activities on functional analysis in this
university. He was also a beloved person and appreciated friend.
We kindly invite you to participate in this scientific event which
we hope will be of your interest. Please visit the conference website
http://cidama.uca.es for additional information.
Best regards,
Francisco J Garcia-Pacheco
Visiting Assistant Professor
Department of Mathematics
Texas A&M University,
College Station, TX 77843-3368
USA
+1 979 845 2029
www.math.tamu.edu/~fgarcia
on behalf of
The Organizing Committee,
http://cidama.uca.es,
info.cidama at uca.es
_______________________________________________
Banach mailing list
Banach at math.okstate.edu
https://mail.math.okstate.edu/mailman/listinfo/banach
From alspach at fourier.math.okstate.edu Thu Mar 19 13:05:49 2009
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id 7530DD091B; Thu, 19 Mar 2009 13:05:49 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Delio Mugnolo and Robin Nittka
Message-Id: <20090319180549.7530DD091B at fourier.math.okstate.edu>
Date: Thu, 19 Mar 2009 13:05:49 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Properties of representations of
operators acting between spaces of vector-valued functions" by Delio
Mugnolo and Robin Nittka.
Abstract: A well-known result going back to the 1930s states that
all bounded linear operators mapping scalar-valued $L^1$-spaces into
$L^\infty$-spaces are kernel operators and that in fact this relation
induces an isometric isomorphism between those operators and the space
of all bounded kernels. We extend this result to the case of spaces of
vector-valued functions.
A recent result due to Arendt and Thomaschewski states that the local
operators acting on $L^p$-spaces of functions with values in separable
spaces are precisely the multiplication operators. We extend this result
to non-separable dual spaces. Moreover, we relate positivity and other
order properties of the operators to corresponding properties of the
representations.
Archive classification: math.FA
Mathematics Subject Classification: 46G10, 47B34, 46M10, 47B65
Remarks: 13 pages
The source file(s), dunfordpettis.bbl: 5993 bytes
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0903.2038
or
http://arXiv.org/abs/0903.2038
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From alspach at fourier.math.okstate.edu Thu Mar 19 13:06:49 2009
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Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id D9281D091B; Thu, 19 Mar 2009 13:06:49 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by George Costakis and Antonios Manoussos
Message-Id: <20090319180649.D9281D091B at fourier.math.okstate.edu>
Date: Thu, 19 Mar 2009 13:06:49 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "J-class operators and
hypercyclicity" by George Costakis and Antonios Manoussos.
Abstract: The purpose of the present work is to treat a new notion
related to linear dynamics, which can be viewed as a ``localization"
of the notion of hypercyclicity. In particular, let $T$ be a bounded
linear operator acting on a Banach space $X$ and let $x$ be a non-zero
vector in $X$ such that for every open neighborhood $U\subset X$ of $x$
and every non-empty open set $V\subset X$ there exists a positive integer
$n$ such that $T^{n}U\cap V\neq\emptyset$. In this case $T$ will be called
a $J$-class operator. We investigate the class of operators satisfying
the above property and provide various examples. It is worthwhile to
mention that many results from the theory of hypercyclic operators
have their analogues in this setting. For example we establish results
related to the Bourdon-Feldman theorem and we characterize the $J$-class
weighted shifts. We would also like to stress that even non-separable
Banach spaces which do not support topologically transitive operators,
as for example $l^{\infty}(\mathbb{N})$, do admit $J$-class operators.
Archive classification: math.FA math.DS
Mathematics Subject Classification: 47A16 (primary); 37B99, 54H20
(secondary)
Remarks: 21 pages
The source file(s), manoussos_jclass.tex: 62003 bytes, is(are) stored in
gzipped form as 0704.3354.gz with size 16kb. The corresponding postcript
file has gzipped size 116kb.
Submitted from: aman at math.uoc.gr
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0704.3354
or
http://arXiv.org/abs/0704.3354
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From alspach at fourier.math.okstate.edu Thu Mar 19 13:09:19 2009
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id 2687DD091B; Thu, 19 Mar 2009 13:09:19 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Antonio Aviles and Stevo Todorcevic
Message-Id: <20090319180919.2687DD091B at fourier.math.okstate.edu>
Date: Thu, 19 Mar 2009 13:09:19 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Zero subspaces of polynomials on
l1(Gamma)" by Antonio Aviles and Stevo Todorcevic.
Abstract: We provide two examples of complex homogeneous quadratic
polynomials P on Banach spaces of the form l_1(I). The first polynomial
P has both separable and nonseparable maximal zero subspaces. The second
polynomial P has the property that while the index-set I is not countable,
all zero subspaces of P are separable.
Archive classification: math.FA math.LO
Mathematics Subject Classification: 46B26, 47H60
Citation: J. Math. Anal. Appl. 350, No. 2, 427-435 (2009)
Remarks: Published in special issue dedicated to Isaac Namioka
The source file(s), polynomials3.tex: 39718 bytes, is(are) stored in
gzipped form as 0903.2374.gz with size 13kb. The corresponding postcript
file has gzipped size 89kb.
Submitted from: avileslo at um.es
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0903.2374
or
http://arXiv.org/abs/0903.2374
or by email in unzipped form by transmitting an empty message with
subject line
uget 0903.2374
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to: math at arXiv.org.
From alspach at fourier.math.okstate.edu Thu Mar 19 13:18:38 2009
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X-Original-To: alspach
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Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id 269E5D091B; Thu, 19 Mar 2009 13:18:38 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Miguel Martin, Javier Meri, and Mikhail Popov
Message-Id: <20090319181838.269E5D091B at fourier.math.okstate.edu>
Date: Thu, 19 Mar 2009 13:18:38 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "On the numerical index of real
$L_p(\mu)$-spaces" by Miguel Martin, Javier Meri, and Mikhail Popov.
Abstract: We give a lower bound for the numerical index of the
real space $L_p(\mu)$ showing, in particular, that it is non-zero
for $p\neq 2$. In other words, it is shown that for every bounded
linear operator $T$ on the real space $L_p(\mu)$, one has $$
\sup\left\{\Bigl|\int |x|^{p-1}\sign(x)\,T x\ d\mu \Bigr|\ : \
x\in L_p(\mu),\,\|x\|=1\right\} \geq \frac{M_p}{8\e}\|T\| $$ where
$\displaystyle M_p=\max_{t\in[0,1]}\frac{|t^{p-1}-t|}{1+t^p}>0$ for every
$p\neq 2$. It is also shown that for every bounded linear operator $T$
on the real space $L_p(\mu)$, one has $$ \sup\left\{\int |x|^{p-1}|Tx|\
d\mu \ : \ x\in L_p(\mu),\,\|x\|=1\right\} \geq \frac{1}{2\e}\|T\|. $$
Archive classification: math.FA math.OA
Mathematics Subject Classification: 46B04, 46E30, 47A12
The source file(s), MartinMeriPopov.tex: 21471 bytes, is(are) stored in
gzipped form as 0903.2704.gz with size 7kb. The corresponding postcript
file has gzipped size 74kb.
Submitted from: mmartins at ugr.es
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0903.2704
or
http://arXiv.org/abs/0903.2704
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From alspach at fourier.math.okstate.edu Thu Mar 19 13:21:17 2009
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 89038D091B; Thu, 19 Mar 2009 13:21:17 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by D.Apatsidis, S.A.Argyros, and V.Kanellopoulos
Message-Id: <20090319182117.89038D091B at fourier.math.okstate.edu>
Date: Thu, 19 Mar 2009 13:21:17 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Hausdorff measures and functions
of bounded quadratic variation" by D.Apatsidis, S.A.Argyros, and
V.Kanellopoulos.
Abstract: To each function $f$ in the space $V_2$ we associate a Hausdorff
measure $\mu_f$. We show that the map $f\to\mu_f$ is locally Lipschitz
and onto the positive cone of $\mathcal{M}[0,1]$. We use the measures
$\{\mu_f:f\in V_2\}$ to determine the structure of the subspaces of
$V_2^0$ which either contain $c_0$ or the square stopping time space
$S^2$.
Archive classification: math.FA
Mathematics Subject Classification: 28A78, 46B20, 46B26
Remarks: 36 pages
The source file(s), haus_quad2.tex: 141123 bytes, is(are) stored in
gzipped form as 0903.2809.gz with size 38kb. The corresponding postcript
file has gzipped size 219kb.
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/0903.2809
or
http://arXiv.org/abs/0903.2809
or by email in unzipped form by transmitting an empty message with
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uget 0903.2809
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to: math at arXiv.org.
From alspach at fourier.math.okstate.edu Sat Mar 28 14:23:47 2009
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 3E9D2D091B; Sat, 28 Mar 2009 14:23:47 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Humberto Rafeiro
Message-Id: <20090328192347.3E9D2D091B at fourier.math.okstate.edu>
Date: Sat, 28 Mar 2009 14:23:47 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Kolmogorov compactness criterion
in variable exponent Lebesgue spaces" by Humberto Rafeiro.
Abstract: The well-known Kolmogorov compactness criterion
is extended to the case of variable exponent Lebesgue spaces
$L^{p(\cdot)}(\overline{\Omega})$, where $\Omega$ is a bounded open set in
$\mathbb R^n$ and $p(\cdot)$ satisfies some ``standard'' conditions. Our
final result should be called Kolmogorov-Tulajkov Sudakov compactness
criterion, since it includes the case $p_-=1$ and requires only the
``uniform'' condition.
Archive classification: math.FA
Mathematics Subject Classification: 46B50, 46E30
Remarks: 8 pages
The source file(s), kolmogorov_18_03_2009.tex: 23807 bytes, is(are)
stored in gzipped form as 0903.3214.gz with size 8kb. The corresponding
postcript file has gzipped size 76kb.
Submitted from: hrafeiro at ualg.pt
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0903.3214
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http://arXiv.org/abs/0903.3214
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From alspach at fourier.math.okstate.edu Sat Mar 28 14:27:45 2009
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id 63920D091B; Sat, 28 Mar 2009 14:27:45 -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: <20090328192745.63920D091B at fourier.math.okstate.edu>
Date: Sat, 28 Mar 2009 14:27:45 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "On generalizations of Gowers
norms and their geometry" by Hamed Hatami.
Abstract: Motivated by the definition of the Gowers uniformity norms,
we introduce and study a wide class of norms. Our aim is to establish
them as a natural generalization of the $L_p$ norms. We shall prove
that these normed spaces share many of the nice properties of the $L_p$
spaces. Some examples of these norms are $L_p$ norms, trace norms $S_p$
when $p$ is an even integer, and Gowers uniformity norms.
Every such norm is defined through a pair of weighted hypergraphs. In regard
to a question of Laszlo Lovasz, we prove several results in the direction
of characterizing all hypergraph pairs that correspond to norms.
Archive classification: math.CO math.FA
Mathematics Subject Classification: 46B20, 46E30, 05D99
Remarks: 29 pages
The source file(s), arxiv/ProductNorm17.bbl: 3969 bytes
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0903.3237
or
http://arXiv.org/abs/0903.3237
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From alspach at fourier.math.okstate.edu Sat Mar 28 14:31:56 2009
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id 778CBD091B; Sat, 28 Mar 2009 14:31:56 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Vesko Valov
Message-Id: <20090328193156.778CBD091B at fourier.math.okstate.edu>
Date: Sat, 28 Mar 2009 14:31:56 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Linear operators with compact
supports, probability measures and Milyutin maps" by Vesko Valov.
Abstract: The notion of a regular operator with compact supports between
function spaces is introduced. On that base we obtain a characterization
of absolute extensors for zero-dimensional spaces in terms of regular
extension operators having compact supports. Milyutin maps are also
considered and it is established that some topological properties, like
paracompactness, metrizability and k-metrizability, are preserved under
Milyutin maps.
Archive classification: math.GN math.FA
Mathematics Subject Classification: 28A33; 54C10
Remarks: 26 pages
The source file(s), Milutin.TEX: 91700 bytes, is(are) stored in gzipped
form as 0903.3435.gz with size 25kb. The corresponding postcript file
has gzipped size 141kb.
Submitted from: veskov at nipissingu.ca
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0903.3435
or
http://arXiv.org/abs/0903.3435
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From alspach at fourier.math.okstate.edu Sat Mar 28 14:36:43 2009
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id 92AE6D091B; Sat, 28 Mar 2009 14:36:43 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Spiros A Argyros and Richard G Haydon
Message-Id: <20090328193643.92AE6D091B at fourier.math.okstate.edu>
Date: Sat, 28 Mar 2009 14:36:43 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "A hereditarily indecomposable
L_\infty-space that solves the scalar-plus-compact problem" by Spiros
A Argyros and Richard G Haydon.
Abstract: We construct a hereditarily indecomposable Banach space with
dual isomorphic to $\ell_1$. Every bounded linear operator on this space
has the form $\lambda I+K$ with $\lambda$ a scalar and $K$ compact.
Archive classification: math.FA
Mathematics Subject Classification: 46B45
The source file(s), BD.tex: 14514 bytes Background.tex: 8660 bytes
ConcRem.tex.bak: 13883 bytes Constr.tex: 14452 bytes HIDuals.tex: 12435
bytes Intro.tex: 3383 bytes Operators.tex: 9684 bytes RIS.tex: 22263
bytes ScalarPlusCompact.tex: 8259 bytes ellOneExact.tex: 15439 bytes,
is(are) stored in gzipped form as 0903.3921.tar.gz with size 39kb. The
corresponding postcript file has gzipped size 191kb.
Submitted from: richard.haydon at bnc.ox.ac.uk
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0903.3921
or
http://arXiv.org/abs/0903.3921
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From alspach at fourier.math.okstate.edu Tue Apr 7 16:11:00 2009
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Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id 63A0DD0BB9; Tue, 7 Apr 2009 16:11:00 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Joel H. Shapiro
Message-Id: <20090407211100.63A0DD0BB9 at fourier.math.okstate.edu>
Date: Tue, 7 Apr 2009 16:11:00 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Eigenfunctions for hyperbolic
rcmposition roerators---redux" by Joel H. Shapiro.
Abstract: The Invariant Subspace Problem (``ISP'') for Hilbert space
operators is known to be equivalent to a question that, on its surface,
seems surprisingly concrete: For composition operators induced on the
Hardy space H^2 by hyperbolic automorphisms of the unit disc, is every
nontrivial minimal invariant subspace one dimensional (i.e., spanned by
an eigenvector)? In the hope of reviving interest in the contribution
this remarkable result might offer to the studies of both composition
operators and the ISP, I revisit some known results, weaken their
hypotheses and simplify their proofs. Sample results: If f is a hyperbolic
disc automorphism with fixed points at a and b (both necessarily on the
unit circle), and C_f the composition operator it induces on H^2, then
for every function g in the subspace [{(z-a)(z-a)]^(1/2)H^2, the doubly
C_f-cyclic subspace generated by g contains many independent eigenvectors;
more precisely, the point spectrum of C_f's restriction to that subspace
intersects the unit circle in a set of positive measure. Moreover,
this restriction of C_f is hypercyclic (some forward orbit is dense).
Archive classification: math.FA math.CV
Mathematics Subject Classification: 47B33; 47A15
Remarks: 14 pages
The source file(s), shapiro_eigenfns_rvsd.tex: 50277 bytes, is(are)
stored in gzipped form as 0904.0022.gz with size 15kb. The corresponding
postcript file has gzipped size 98kb.
Submitted from: joels314 at gmail.com
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0904.0022
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http://arXiv.org/abs/0904.0022
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From alspach at fourier.math.okstate.edu Tue Apr 7 16:12:13 2009
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id 2D932D0BB9; Tue, 7 Apr 2009 16:12:13 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Daniel Freeman, Edward Odell, and Thomas Schlumprecht
Message-Id: <20090407211213.2D932D0BB9 at fourier.math.okstate.edu>
Date: Tue, 7 Apr 2009 16:12:13 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "The universality of $\ell_1$
as a dual space" by Daniel Freeman, Edward Odell, and Thomas Schlumprecht.
Abstract: Let $X$ be a Banach space with a separable dual. We prove
that $X$ embeds isomorphically into a $\L_\infty$ space $Z$ whose dual
is isomorphic to $\ell_1$. If $X$ has a shrinking finite dimensional
decomposition and $X^*$ does not contain an isomorph of $\ell_1$,
then we construct such a $Z$, as above, not containing an isomorph of
$c_0$.If $X$ is separable and reflexive, we show that $Z$ can be made
to be somewhat reflexive.
Archive classification: math.FA
Mathematics Subject Classification: 46B20
Remarks: 33 pages
The source file(s), fos3.tex: 130106 bytes, is(are) stored in gzipped
form as 0904.0462.gz with size 37kb. The corresponding postcript file
has gzipped size 218kb.
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/0904.0462
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http://arXiv.org/abs/0904.0462
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From banach-bounces at math.okstate.edu Thu Apr 23 15:46:46 2009
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Date: Thu, 23 Apr 2009 20:56:47 +0100
From: Niels Jakob Laustsen <n.laustsen at lancaster.ac.uk>
User-Agent: Thunderbird 2.0.0.0 (X11/20070326)
MIME-Version: 1.0
To: banach at math.okstate.edu
Subject: [Banach] NBFAS + Graham Jameson Meeting 25-26 May 2009
The Department of Mathematics and Statistics at Lancaster University,
UK, will host two meetings with a common theme of Banach spaces on 25-26
May 2009.
The first, starting after lunch on Monday 25th May, is a meeting of the
North British Functional Analysis Seminar (NBFAS); the NBFAS speaker is
Stephen J. Dilworth (South Carolina, USA).
The second meeting, on Tuesday 26th May, is in honour of GrahamJameson
on the occasion of his retirement, celebrating his many significant
contributions to the department and the wider mathematical community
during his 35-year career in Lancaster. There will be six invited
one-hour talks given by the following speakers:
- Timothy Feeman (Villanova, USA),
- Richard Haydon (Oxford, UK),
- Rafal Latala (Warsaw, Poland),
- Edward W. Odell, (Texas, USA),
- Charles J. Read (Leeds, UK), and
- Thomas Schlumprecht (Texas A&M, USA).
This meeting is supported by a London Mathematical Society Scheme 1
conference grant. There is support available for UK graduate students;
the deadline for applications for such support is 1st May.
Full details of both meetings (including registration, schedule, travel
and accommodation) can be found at http://www.maths.lancs.ac.uk/jameson
For more information, please contact the organizer Niels J. Laustsen
(email: n.laustsen at lancaster.ac.uk).
_______________________________________________
Banach mailing list
Banach at math.okstate.edu
https://mail.math.okstate.edu/mailman/listinfo/banach
From alspach at fourier.math.okstate.edu Fri May 1 16:01:13 2009
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id 7A08ED068F; Fri, 1 May 2009 16:01:13 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Christopher King and Nilufer Koldan
Message-Id: <20090501210113.7A08ED068F at fourier.math.okstate.edu>
Date: Fri, 1 May 2009 16:01:13 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Comparison of matrix norms on
bipartite spaces" by Christopher King and Nilufer Koldan.
Abstract: Two non-commutative versions of the classical L^q(L^p) norm
on the algebra of (mn)x(mn) matrices are compared. The first norm was
defined recently by Carlen and Lieb, as a byproduct of their analysis of
certain convex functions on matrix spaces. The second norm was defined by
Pisier and others using results from the theory of operator spaces. It
is shown that the second norm is upper bounded by a constant multiple
of the first for all 1 <= p <= 2, q >= 1. In one case (2 = p < q) it is
also shown that there is no such lower bound, and hence that the norms
are inequivalent. It is conjectured that the norms are inequivalent in
all cases.
Archive classification: math.FA
Remarks: 25 pages
The source file(s), 2normsv17.tex: 44891 bytes, is(are) stored in gzipped
form as 0904.1710.gz with size 13kb. The corresponding postcript file
has gzipped size 109kb.
Submitted from: king at neu.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0904.1710
or
http://arXiv.org/abs/0904.1710
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From alspach at fourier.math.okstate.edu Fri May 1 16:01:56 2009
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X-Original-To: alspach
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Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id A95DAD068F; Fri, 1 May 2009 16:01:56 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by V. Kanellopoulos and K. Tyros
Message-Id: <20090501210156.A95DAD068F at fourier.math.okstate.edu>
Date: Fri, 1 May 2009 16:01:56 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "A discretized approach to
W.T. Gowers' game" by V. Kanellopoulos and K. Tyros.
Abstract: We give an alternative proof of W.T. Gowers' theorem on block
bases in Banach spaces by reducing it to a discrete analogue on specific
countable nets.
Archive classification: math.FA math.CO
Mathematics Subject Classification: 05D10, 46B03
Remarks: 12 pages
The source file(s), discrgame.tex: 54985 bytes, is(are) stored in gzipped
form as 0904.2313.gz with size 15kb. The corresponding postcript file
has gzipped size 107kb.
Submitted from: ktyros at central.ntua.gr
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0904.2313
or
http://arXiv.org/abs/0904.2313
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uget 0904.2313
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From alspach at fourier.math.okstate.edu Fri May 1 16:03:12 2009
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X-Original-To: alspach
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Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id D51E2D068F; Fri, 1 May 2009 16:03:12 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Daniel Li, Herve Queffelec, Luis Rodriguez-Piazza
Message-Id: <20090501210312.D51E2D068F at fourier.math.okstate.edu>
Date: Fri, 1 May 2009 16:03:12 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "On some random thin sets of
integers" by Daniel Li, Herve Queffelec, Luis Rodriguez-Piazza.
Abstract: We show how different random thin sets of integers may have
different behaviour. First, using a recent deviation inequality of
Boucheron, Lugosi and Massart, we give a simpler proof of one of our
results in {\sl Some new thin sets of integers in Harmonic Analysis,
Journal d'Analyse Math\'ematique 86 (2002), 105--138}, namely that there
exist $\frac{4}{3}$-Rider sets which are sets of uniform convergence and
$\Lambda (q)$-sets for all $q < \infty $, but which are not Rosenthal
sets. In a second part, we show, using an older result of Kashin and
Tzafriri that, for $p > \frac{4}{3}$, the $p$-Rider sets which we had
constructed in that paper are almost surely ot of uniform convergence.
Archive classification: math.FA
Mathematics Subject Classification: 43 A 46 ; 42 A 55 ; 42 A 61
Citation: Proceedings of the American Mathematical Society 136, 1
(2008) 141
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0904.2507
or
http://arXiv.org/abs/0904.2507
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From alspach at fourier.math.okstate.edu Fri May 1 16:04:40 2009
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X-Original-To: alspach
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Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id C9841D068F; Fri, 1 May 2009 16:04:40 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by David Alonso-Gutierrez, Jesus Bastero, Julio Bernues, and Pawel Wolff
Message-Id: <20090501210440.C9841D068F at fourier.math.okstate.edu>
Date: Fri, 1 May 2009 16:04:40 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "On the isotropy constant of
projections of polytopes" by David Alonso-Gutierrez, Jesus Bastero,
Julio Bernues, and Pawel Wolff.
Abstract: The isotropy constant of any $d$-dimensional polytope with $n$
vertices is bounded by $C \sqrt{\frac{n}{d}}$ where $C>0$ is a numerical
constant.
Archive classification: math.FA math.MG
Mathematics Subject Classification: 46B20 (Primary), 52A40, 52A39
(Secondary)
The source file(s), ABBW11-arxiv.tex: 43561 bytes, is(are) stored in
gzipped form as 0904.2632.gz with size 14kb. The corresponding postcript
file has gzipped size 109kb.
Submitted from: pawel.wolff at case.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0904.2632
or
http://arXiv.org/abs/0904.2632
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From alspach at fourier.math.okstate.edu Fri May 1 16:06:11 2009
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 D2DC5D068F; Fri, 1 May 2009 16:06:11 -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-Piazza
Message-Id: <20090501210611.D2DC5D068F at fourier.math.okstate.edu>
Date: Fri, 1 May 2009 16:06:11 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Weak compactness and Orlicz spaces"
by Pascal Lefevre, Daniel Li, Herve Queffelec, and Luis Rodriguez-Piazza.
Abstract: We give new proofs that some Banach spaces have
Pe{\l}czy\'nski's property $(V)$.
Archive classification: math.FA
Mathematics Subject Classification: 46B20; 46E30
Citation: Colloquium Mathematicum 112, 1 (2008) 23 - 32
The source file(s), propV-CM.tex: 28111 bytes, is(are) stored in gzipped
form as 0904.2970.gz with size 10kb. The corresponding postcript file
has gzipped size 77kb.
Submitted from: daniel.li at euler.univ-artois.fr
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0904.2970
or
http://arXiv.org/abs/0904.2970
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uget 0904.2970
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to: math at arXiv.org.
From alspach at fourier.math.okstate.edu Fri May 1 16:07:38 2009
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 CEAA7D068F; Fri, 1 May 2009 16:07:38 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Detelin Dosev and William B. Johnson
Message-Id: <20090501210738.CEAA7D068F at fourier.math.okstate.edu>
Date: Fri, 1 May 2009 16:07:38 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Commutators on $\ell_{\infty}$"
by Detelin Dosev and William B. Johnson.
Abstract: The operators on $\ell_{\infty}$ which are commutators are
those not of the form $\lambda I + S$ with $\lambda\neq 0$ and $S$
strictly singular.
Archive classification: math.FA
Mathematics Subject Classification: 47B47
Remarks: 15 pages. Submitted to the Journal of Functional Analysis
The source file(s), EllInfinityPaper_Final.tex: 55359 bytes, is(are)
stored in gzipped form as 0904.3120.gz with size 16kb. The corresponding
postcript file has gzipped size 103kb.
Submitted from: ddosev at gmail.com
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0904.3120
or
http://arXiv.org/abs/0904.3120
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uget 0904.3120
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to: math at arXiv.org.
From alspach at fourier.math.okstate.edu Fri May 1 16:15:14 2009
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 41866D068F; Fri, 1 May 2009 16:15:14 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Alexandre Godard
Message-Id: <20090501211514.41866D068F at fourier.math.okstate.edu>
Date: Fri, 1 May 2009 16:15:14 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Tree metrics and their
Lipschitz-free spaces" by Alexandre Godard.
Abstract: We compute the Lipschitz-free spaces of subsets of the real
line and characterize subsets of metric trees by the fact that their
Lipschitz-free space is isometric to a subspace of $L_1$.
Archive classification: math.FA math.MG
Mathematics Subject Classification: Primary 46B04; Secondary 05C05,
46B25, 54E35
Remarks: 9 pages
The source file(s), lip.bbl: 1919 bytes
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0904.3178
or
http://arXiv.org/abs/0904.3178
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uget 0904.3178
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to: math at arXiv.org.
From alspach at fourier.math.okstate.edu Fri May 15 14:02:20 2009
Return-Path: <alspach at fourier.math.okstate.edu>
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id 8802ED0C16; Fri, 15 May 2009 14:02:20 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Assaf Naor and Yuval Peres
Message-Id: <20090515190220.8802ED0C16 at fourier.math.okstate.edu>
Date: Fri, 15 May 2009 14:02:20 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "$L_p$ compression, traveling
salesmen, and stable walks" by Assaf Naor and Yuval Peres.
Abstract: We show that if $H$ is a group of polynomial growth whose
growth rate is at least quadratic then the $L_p$ compression of the wreath
product $\Z\bwr H$ equals $\max{\frac{1}{p},{1/2}}$. We also show that the
$L_p$ compression of $\Z\bwr \Z$ equals $\max{\frac{p}{2p-1},\frac23}$
and the $L_p$ compression of $(\Z\bwr\Z)_0$ (the zero section of
$\Z\bwr \Z$, equipped with the metric induced from $\Z\bwr \Z$) equals
$\max{\frac{p+1}{2p},\frac34}$. The fact that the Hilbert compression
exponent of $\Z\bwr\Z$ equals $\frac23$ while the Hilbert compression
exponent of $(\Z\bwr\Z)_0$ equals $\frac34$ is used to show that there
exists a Lipschitz function $f:(\Z\bwr\Z)_0\to L_2$ which cannot be
extended to a Lipschitz function defined on all of $\Z\bwr \Z$.
Archive classification: math.MG math.FA math.GR
The source file(s), , is(are) stored in gzipped form as with size . The
corresponding postcript file has gzipped size .
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/0904.4728
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http://arXiv.org/abs/0904.4728
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From alspach at fourier.math.okstate.edu Fri May 15 14:04:10 2009
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id 8C293D0C16; Fri, 15 May 2009 14:04:10 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Peter G. Casazza Goetz E. Pfander
Message-Id: <20090515190410.8C293D0C16 at fourier.math.okstate.edu>
Date: Fri, 15 May 2009 14:04:10 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "The infinite dimensional restricted
invertibility theorem" by Peter G. Casazza and Goetz E. Pfander.
Abstract: The 1987 Bourgain-Tzafriri Restricted Invertibility Theorem
is one of the most celebrated theorems in analysis. At the time of
their work, the authors raised the question of a possible infinite
dimensional version of the theorem. In this paper, we will give a quite
general definition of restricted invertibility for operators on infinite
dimensional Hilbert spaces based on the notion of "density" from frame
theory. We then prove that localized Bessel systems have large subsets
which are Riesz basic sequences. As a consequence, we prove the strongest
possible form of the infinite dimensional restricted invertibility
theorem for $\ell_1$-localized operators and for Gabor frames with
generating function in the Feichtinger Algebra. For our calculations,
we introduce a new notion of "density" which has serious advantages over
the standard form because it is independent of index maps - and hence
has much broader application. We then show that in the setting of the
restricted invertibility theorem, this new density becomes equivalent
to the standard density.
Archive classification: math.FA math.CA
Mathematics Subject Classification: 42C15, 46C05, 46C07
Remarks: 24 pages
The source file(s), PaperArxiv.tex: 85007 bytes, is(are) stored in gzipped
form as 0905.0656.gz with size 24kb. The corresponding postcript file
has gzipped size 143kb.
Submitted from: g.pfander at jacobs-university.de
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0905.0656
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http://arXiv.org/abs/0905.0656
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From alspach at fourier.math.okstate.edu Fri May 15 14:04:46 2009
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id A13B4D0C16; Fri, 15 May 2009 14:04:46 -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: <20090515190446.A13B4D0C16 at fourier.math.okstate.edu>
Date: Fri, 15 May 2009 14:04:46 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Constructions of sequential spaces"
by Jarno Talponen.
Abstract: We introduce and study certain type of variable exponent \ell^p
spaces. These spaces will typically not be rearrangement-invariant but
instead they enjoy a good local control of some geometric properties. We
obtain some interesting examples of Banach spaces with a 1-unconditional
basis.
Archive classification: math.FA
Mathematics Subject Classification: 46B45; 46B20
The source file(s), lpt.tex: 33888 bytes, is(are) stored in gzipped
form as 0905.0812.gz with size 10kb. The corresponding postcript file
has gzipped size 78kb.
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/0905.0812
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http://arXiv.org/abs/0905.0812
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From alspach at fourier.math.okstate.edu Fri May 15 14:05:24 2009
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id 3D4EAD0C16; Fri, 15 May 2009 14:05:24 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Fedor Nazarov, Fedor Petrov, Dmitry Ryabogin, and Artem Zvavitch
Message-Id: <20090515190524.3D4EAD0C16 at fourier.math.okstate.edu>
Date: Fri, 15 May 2009 14:05:24 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "A remark on the Mahler conjecture:
local minimality of the unit cube" by Fedor Nazarov, Fedor Petrov,
Dmitry Ryabogin, and Artem Zvavitch.
Abstract: We prove that the unit cube $B^n_{\infty}$ is a strict local
minimizer for the Mahler volume product $vol_n(K)vol_n(K^*)$ in the class
of origin symmetric convex bodies endowed with the Banach-Mazur distance.
Archive classification: math.FA
Mathematics Subject Classification: 52A15, 52A21
The source file(s), MahlerNPRZ_May_3.tex: 26147 bytes, is(are) stored in
gzipped form as 0905.0867.gz with size 9kb. The corresponding postcript
file has gzipped size 89kb.
Submitted from: zvavitch at math.kent.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0905.0867
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http://arXiv.org/abs/0905.0867
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From alspach at fourier.math.okstate.edu Fri May 15 14:06:00 2009
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X-Original-To: alspach
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id 6A0E9D0C16; Fri, 15 May 2009 14:06:00 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Osamu Hatori
Message-Id: <20090515190600.6A0E9D0C16 at fourier.math.okstate.edu>
Date: Fri, 15 May 2009 14:06:00 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "A local Mazur-Ulam theorem"
by Osamu Hatori.
Abstract: We prove a local version of the Mazur-Ulam theorem.
Archive classification: math.FA
Mathematics Subject Classification: 46B04
Remarks: 8pages
The source file(s), lmu09_05_05.tex: 23889 bytes, is(are) stored in
gzipped form as 0905.1050.gz with size 7kb. The corresponding postcript
file has gzipped size 66kb.
Submitted from: hatori at math.sc.niigata-u.ac.jp
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0905.1050
or
http://arXiv.org/abs/0905.1050
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From alspach at fourier.math.okstate.edu Fri May 15 14:07:36 2009
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id 72CECD0C16; Fri, 15 May 2009 14:07:36 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Evans Harrell and Antoine Henrot
Message-Id: <20090515190736.72CECD0C16 at fourier.math.okstate.edu>
Date: Fri, 15 May 2009 14:07:36 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "On the maximization of a class
of functionals on convex regions, and the characterization of the
farthest convex set" by Evans Harrell and Antoine Henrot.
Abstract: We consider a family of functionals $J$ to be maximized over
the planar convex sets $K$ for which the perimeter and Steiner point have
been fixed. Assuming that $J$ is the integral of a quadratic expression
in the support function $h$, we show that the maximizer is always either
a triangle or a line segment (which can be considered as a collapsed
triangle). Among the concrete consequences of the main theorem is the
fact that, given any convex body $K_1$ of finite perimeter, the set in
the class we consider that is farthest away in the sense of the $L^2$
distance is always a line segment. We also prove the same property for
the Hausdorff distance.
Archive classification: math.OC math.FA
Mathematics Subject Classification: 52A10; 52A40;
Remarks: 3 figures
The source file(s), HarHen1_FINALMay09.tex: 46618 bytes figure1.eps: 14493
bytes figure3.eps: 9670 bytes noyau3.eps: 10101 bytes, is(are) stored
in gzipped form as 0905.1464.tar.gz with size 21kb. The corresponding
postcript file has gzipped size 118kb.
Submitted from: harrell at math.gatech.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0905.1464
or
http://arXiv.org/abs/0905.1464
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From alspach at fourier.math.okstate.edu Fri May 15 14:08:21 2009
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id 3AEDBD0C16; Fri, 15 May 2009 14:08:21 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by G. Botelho, D. Pellegrino and P. Rueda
Message-Id: <20090515190821.3AEDBD0C16 at fourier.math.okstate.edu>
Date: Fri, 15 May 2009 14:08:21 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Dominated bilinear forms and
2-homogeneous polynomials" by G. Botelho, D. Pellegrino and P. Rueda.
Abstract: The main goal of this note is to establish a connection between
the cotype of the Banach space X and the parameters r for which every
2-homogeneous polynomial on X is r-dominated.
Archive classification: math.FA
Mathematics Subject Classification: 46G25, 46B20
Remarks: 7 pages
The source file(s), Botelho_Pellegrino_Rueda.tex: 24623 bytes, is(are)
stored in gzipped form as 0905.2079.gz with size 8kb. The corresponding
postcript file has gzipped size 82kb.
Submitted from: dmpellegrino at gmail.com
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0905.2079
or
http://arXiv.org/abs/0905.2079
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uget 0905.2079
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From banach-bounces at math.okstate.edu Fri May 15 15:17:23 2009
Return-Path: <banach-bounces at math.okstate.edu>
Date: Fri, 15 May 2009 20:35:45 +0100
From: Sandra Pott <s.pott at maths.gla.ac.uk>
OPERATORS AND OPERATOR ALGEBRAS IN EDINBURGH:
8th -- 11th DECEMBER 2009
There will be an international conference on Operators and Operator
Algebras in the University of Edinburgh this coming December. =
The Honorary Organisers are Alastair Gillespie and Allan Sinclair.
The following have agreed to speak:
* C. Anantharaman-Delaroche (Orleans)
* W. Arendt (Ulm)
* E. Berkson (Illinois Champaign-Urbana)
* O. Blasco (Valencia)
* G. Brown (Royal Institution of Australia)
* M-J. Carro (Universitat de Barcelona)
* E. Christensen (Copenhagen)
* M. Cowling (Birmingham)
* A. M. Davie (Edinburgh)
* U. Haagerup (Odense)
* M. Junge (Illinois Champaign-Urbana)
* N. Kalton (Columbia, Missouri)
* N. Ozawa (Tokyo and UCLA)
* J. Parcet (CSIC & UA Madrid)
* J. Peterson (Vanderbilt)
* G. Pisier (Texas A&M and Paris VI)
* W. Ricker (KU Eichstaett)
* R. Smith (Texas A&M)
* J-L. Torrea (UA Madrid)
* S. Vaes (KU Leuven)
* A. Volberg (Michigan State)
* S. White (Glasgow)
The conference will run from 9.00 on Tuesday 8 December 2009 until =
lunchtime on Friday 11 December 2009. =
CONFERENCE WEBSITE: Please go to
http://www.maths.gla.ac.uk/~saw/ooae/
and bookmark it to keep up-to-date with developments.
REGISTRATION AND ACCOMODATION: please go to the conference website
and follow the links from there.
REGISTRATION FEE: in the region of =A3 35 (waived for speakers and
postdgraduate students) rising to =A3 50 after 1 November 2009. Full
details will be announced in due course.
CONFERENCE DINNER: Thursday 10th December. The cost will be in the
region of =A3 30. Early sign-up is recommended as spaces are on a
first-come first-served basis.
POSTGRADUATE STUDENTS: Limited support is available for UK-based
postgraduate students. If you wish to be considered for such support,
please declare this when you register.
Unfortunately there will be no space in the schedule for talks other
than by invited speakers, and we do not expect to be able to
financially support participation (other than for speakers and =
postgraduate students).
If you have any questions please contact Stuart White on
s.white at maths.gla.ac.uk
Please pass this announcement on to anyone you think might be =
interested.
The Organising Committee
(Tony Carbery, Ian Doust, Sandra Pott, Stuart White and Jim Wright)
_______________________________________________
Banach mailing list
Banach at math.okstate.edu
https://mail.math.okstate.edu/mailman/listinfo/banach
From alspach at fourier.math.okstate.edu Fri Jun 5 17:13:11 2009
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id 4E372D06D7; Fri, 5 Jun 2009 17:13:11 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by G. Botelho, D. Diniz, D. Pellegrino and E. Teixeira
Message-Id: <20090605221311.4E372D06D7 at fourier.math.okstate.edu>
Date: Fri, 5 Jun 2009 17:13:11 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "A note on lineability" by
G. Botelho, D. Diniz, D. Pellegrino and E. Teixeira.
Abstract: In this note we answer a question concerning lineability of
the set of non-absolutely summing operators.
Archive classification: math.FA
Mathematics Subject Classification: 47B10, 47B37,
Remarks: 4 pages
The source file(s), note-lineability13Maio2009.tex: 11166 bytes, is(are)
stored in gzipped form as 0905.2677.gz with size 4kb. The corresponding
postcript file has gzipped size 50kb.
Submitted from: dmpellegrino at gmail.com
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0905.2677
or
http://arXiv.org/abs/0905.2677
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From alspach at fourier.math.okstate.edu Fri Jun 5 17:13:55 2009
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id D55D3D06D7; Fri, 5 Jun 2009 17:13:55 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by S.J. Dilworth, E. Odell, Th. Schlumprecht, and A. Zsak
Message-Id: <20090605221355.D55D3D06D7 at fourier.math.okstate.edu>
Date: Fri, 5 Jun 2009 17:13:55 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "On the convergence of greedy
algorithms for initial segments of the Haar basis" by S.J. Dilworth,
E. Odell, Th. Schlumprecht, and A. Zsak.
Abstract: We consider the $X$-Greedy Algorithm and the Dual Greedy
Algorithm in a finite-dimensional Banach space with a strictly monotone
basis as the dictionary. We show that when the dictionary is an initial
segment of the Haar basis in $L_p[0,1]$ ($1 < p < \infty$) then the
algorithms terminate after finitely many iterations and that the number
of iterations is bounded by a function of the length of the initial
segment. We also prove a more general result for a class of strictly
monotone bases.
Archive classification: math.FA
Mathematics Subject Classification: 41A65 ;42A10
The source file(s), dosz_greedy.tex: 33654 bytes, is(are) stored in
gzipped form as 0905.3036.gz with size 11kb. The corresponding postcript
file has gzipped size 102kb.
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/0905.3036
or
http://arXiv.org/abs/0905.3036
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subject line
uget 0905.3036
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From alspach at fourier.math.okstate.edu Fri Jun 5 17:14:52 2009
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Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id EB929D06D7; Fri, 5 Jun 2009 17:14:52 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by P. L. Combettes and N. N. Reyes
Message-Id: <20090605221452.EB929D06D7 at fourier.math.okstate.edu>
Date: Fri, 5 Jun 2009 17:14:52 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Functions with prescribed best
linear approximations" by P. L. Combettes and N. N. Reyes.
Abstract: A common problem in applied mathematics is to find a function in
a Hilbert space with prescribed best approximations from a finite number
of closed vector subspaces. In the present paper we study the question of
the existence of solutions to such problems. A finite family of subspaces
is said to satisfy the \emph{Inverse Best Approximation Property (IBAP)}
if there exists a point that admits any selection of points from these
subspaces as best approximations. We provide various characterizations of
the IBAP in terms of the geometry of the subspaces. Connections between
the IBAP and the linear convergence rate of the periodic projection
algorithm for solving the underlying affine feasibility problem are also
established. The results are applied to problems in harmonic analysis,
integral equations, signal theory, and wavelet frames.
Archive classification: math.FA
Mathematics Subject Classification: 41A50, 41A65, 65T60
The source file(s), arxiv1.tex: 79105 bytes, is(are) stored in gzipped
form as 0905.3520.gz with size 21kb. The corresponding postcript file
has gzipped size 162kb.
Submitted from: plc at math.jussieu.fr
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0905.3520
or
http://arXiv.org/abs/0905.3520
or by email in unzipped form by transmitting an empty message with
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uget 0905.3520
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From alspach at fourier.math.okstate.edu Fri Jun 5 17:15:29 2009
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 2DFF0D06D7; Fri, 5 Jun 2009 17:15:29 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Petr Hajek and Richard J. Smith
Message-Id: <20090605221529.2DFF0D06D7 at fourier.math.okstate.edu>
Date: Fri, 5 Jun 2009 17:15:29 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Operator machines on directed
graphs" by Petr Hajek and Richard J. Smith.
Abstract: We show that if an infinite-dimensional Banach space X has a
symmetric basis then there exists a bounded, linear operator R : X -->
X such that the set
A = {x in X : ||R^n(x)|| --> infinity} is non-empty and nowhere dense
in X. Moreover, if x in X\A then some
subsequence of (R^n(x)) converges weakly to x. This answers in the
negative a recent conjecture of Prajitura. The result can be extended
to any Banach space containing an infinite-dimensional, complemented
subspace with a symmetric basis; in particular, all 'classical' Banach
spaces admit such an operator.
Archive classification: math.FA
Mathematics Subject Classification: 47A05
The source file(s), machines14.tex: 47356 bytes, is(are) stored in gzipped
form as 0906.0160.gz with size 14kb. The corresponding postcript file
has gzipped size 111kb.
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/0906.0160
or
http://arXiv.org/abs/0906.0160
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uget 0906.0160
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From alspach at fourier.math.okstate.edu Fri Jun 5 17:16:16 2009
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 847CAD06D7; Fri, 5 Jun 2009 17:16:16 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Denny H. Leung and Wee-Kee Tang
Message-Id: <20090605221616.847CAD06D7 at fourier.math.okstate.edu>
Date: Fri, 5 Jun 2009 17:16:16 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Banach-Stone Theorems for maps
preserving common zeros" by Denny H. Leung and Wee-Kee Tang.
Abstract: Let $X$ and $Y$ be completely regular spaces and $E$ and $F$
be Hausdorff topological vector spaces. We call a linear map $T$ from
a subspace of $C(X,E)$ into $C(Y,F)$ a \emph{Banach-Stone map} if it
has the form $Tf(y) = S_{y}(f(h(y))$ for a family of linear operators
$S_{y} : E \to F$, $y \in Y$, and a function $h: Y \to X$. In this paper,
we consider maps having the property:
\cap^{k}_{i=1}Z(f_{i}) \neq\emptyset\iff\cap^{k}_{i=1}Z(Tf_{i}) \neq
\emptyset,
where $Z(f) = \{f = 0\}$. We characterize linear bijections with
property (Z)
between spaces of continuous functions, respectively, spaces of
differentiable functions (including $C^{\infty}$), as Banach-Stone
maps. In particular, we confirm a conjecture of Ercan and \"{O}nal:
Suppose that $X$ and $Y$ are realcompact spaces and $E$ and $F$
are Hausdorff
topological vector lattices (respectively, $C^{*}$-algebras). Let $T:
C(X,E) \to C(Y,F)$ be a vector lattice isomorphism (respectively,
$*$-algebra isomorphism) such that
Z(f) \neq\emptyset\iff Z(Tf) \neq\emptyset. Then $X$ is homeomorphic
to $Y$ and $E$ is lattice isomorphic (respectively,
$C^{*}$-isomorphic) to $F$.
Some results concerning the continuity of $T$ are also obtained.
Archive classification: math.FA
Mathematics Subject Classification: 47B38
The source file(s), Banach_Stone_Lattice6.tex: 92258 bytes, is(are)
stored in gzipped form as 0906.0219.gz with size 21kb. The corresponding
postcript file has gzipped size 140kb.
Submitted from: matlhh at nus.edu.sg
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0906.0219
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http://arXiv.org/abs/0906.0219
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From alspach at fourier.math.okstate.edu Fri Jun 5 17:16:51 2009
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id 052D1D06D7; Fri, 5 Jun 2009 17:16:50 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Denny H. Leung
Message-Id: <20090605221651.052D1D06D7 at fourier.math.okstate.edu>
Date: Fri, 5 Jun 2009 17:16:50 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Biseparating maps on generalized
Lipschitz spaces" by Denny H. Leung.
Abstract: Let $X, Y$ be complete metric spaces and $E, F$ be Banach
spaces. If $A(X,E)$ and $A(Y,F)$ stand for certain spaces of functions
from $X$ to $E$ and from $Y$ to $F$ respectively, a bijective linear
operator $T: A(X,E) \to A(Y,F)$ is said to be biseparating if $f$ and $g
\in A(X,E)$ are disjoint if and only if $Tf$ and $Tg$ are disjoint. When
$A(X,E)$ and $A(Y,F)$ are either the space of Lipschitz functions
of order $\alpha$, the space of little Lipschitz functions of order
$\alpha$, or the space of uniformly continuous functions, every linear
biseparating map between them is characterized as a weighted composition
operator, i.e., of the form $Tf(y) = S_y(f(h^{-1}(y))$ for a family
of vector space isomorphisms $S_y: E \to F$ and a homeomorphism $h :
X\to Y$. We also investigate the continuity of $T$ and the possibility
of having biseparating maps between different classes of spaces. Here
the functions involved (as well as the metric spaces $X$ and $Y$) may be
unbounded. Also, the arguments do not require the use of compactification
of the spaces $X$ and $Y$.
Archive classification: math.FA
Mathematics Subject Classification: 47B38
The source file(s), Lipschitz3.tex: 62347 bytes, is(are) stored in gzipped
form as 0906.0221.gz with size 18kb. The corresponding postcript file
has gzipped size 118kb.
Submitted from: matlhh at nus.edu.sg
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0906.0221
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http://arXiv.org/abs/0906.0221
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From alspach at fourier.math.okstate.edu Mon Jun 29 16:21:17 2009
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id 6EB19D0CB8; Mon, 29 Jun 2009 16:21:17 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by E. Odell, B. Sari, Th. Schlumprecht, and B. Zheng
Message-Id: <20090629212117.6EB19D0CB8 at fourier.math.okstate.edu>
Date: Mon, 29 Jun 2009 16:21:17 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Systems formed by translates of
one element in $L_p(\mathbb R)$" by E. Odell, B. Sari, Th. Schlumprecht,
and B. Zheng.
Abstract: Let $1\le p <\infty$, $f\in L_p(\real)$ and $\Lambda\subseteq
\real$. We consider the closed subspace of $L_p(\real)$, $X_p
(f,\Lambda)$, generated by the set of translations $f_{(\lambda)}$
of $f$ by $\lambda \in\Lambda$. If $p=1$ and $\{f_{(\lambda)}
:\lambda\in\Lambda\}$ is a bounded minimal system in $L_1(\real)$, we
prove that $X_1 (f,\Lambda)$ embeds almost isometrically into $\ell_1$. If
$\{f_{(\lambda)} :\lambda\in\Lambda\}$ is an unconditional basic
sequence in $L_p(\real)$, then $\{f_{(\lambda)} : \lambda\in\Lambda\}$
is equivalent to the unit vector basis of $\ell_p$ for $1\le p\le 2$
and $X_p (f,\Lambda)$ embeds into $\ell_p$ if $2<p\le 4$. If $p>4$,
there exists $f\in L_p(\real)$ and $\Lambda \subseteq \zed$ so that
$\{f_{(\lambda)} :\lambda\in\Lambda\}$ is unconditional basic and
$L_p(\real)$ embeds isomorphically into $X_p (f,\Lambda)$.
Archive classification: math.FA
The source file(s), ossz.tex: 98122 bytes, is(are) stored in gzipped
form as 0906.1162.gz with size 28kb. The corresponding postcript file
has gzipped size 157kb.
Submitted from: bunyamin at unt.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0906.1162
or
http://arXiv.org/abs/0906.1162
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From alspach at fourier.math.okstate.edu Mon Jun 29 16:27:05 2009
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X-Original-To: alspach
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id 53B20D0CB8; Mon, 29 Jun 2009 16:27:05 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Luis Dubarbie
Message-Id: <20090629212705.53B20D0CB8 at fourier.math.okstate.edu>
Date: Mon, 29 Jun 2009 16:27:05 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Separating maps between spaces
of vector-valued absolutely continuous functions" by Luis Dubarbie.
Abstract: In this paper we give a description of separating or
disjointness preserving linear bijections on spaces of vector-valued
absolutely continuous functions defined on compact subsets of the
real line. We obtain that they are continuous and biseparating in the
finite-dimensional case. The infinite-dimensional case is also studied.
Archive classification: math.FA
Mathematics Subject Classification: 47B38; 46E15, 46E40, 46H40, 47B33
Remarks: Canadian Mathematical Bulletin, to appear
The source file(s), cmb-9158.tex: 30683 bytes, is(are) stored in gzipped
form as 0906.1633.gz with size 9kb. The corresponding postcript file
has gzipped size 73kb.
Submitted from: luis.dubarbie at gmail.com
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0906.1633
or
http://arXiv.org/abs/0906.1633
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From alspach at fourier.math.okstate.edu Mon Jun 29 16:31:19 2009
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X-Original-To: alspach
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id 37424D0CB8; Mon, 29 Jun 2009 16:31:19 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Jan van Neerven and Lutz Weis
Message-Id: <20090629213119.37424D0CB8 at fourier.math.okstate.edu>
Date: Mon, 29 Jun 2009 16:31:19 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Vector measures of bounded
gamma-variation and stochastic integrals" by Jan van Neerven and Lutz
Weis.
Abstract: We introduce the class of vector measures of bounded
$\gamma$-variation and study its relationship with vector-valued
stochastic integrals with respect to Brownian motions.
Archive classification: math.FA math.PR
Mathematics Subject Classification: 46G10, 60H05
Remarks: 9 pages; to appear in the proceedings of 3rd Meeting on Vector
Measures, Integration and Applications (Eichstaett, 2008)
The source file(s), VanNeervenWeis.pdf: 136678 bytes
VanNeervenWeis_final_version.tex: 24984 bytes birkmult.cls: 60110
bytes newsymbol.sty: 440 bytes srcltx.sty: 6955 bytes, is(are) stored
in gzipped form as 0906.1883.tar.gz with size 141kb. The corresponding
postcript file has gzipped size 76kb.
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/0906.1883
or
http://arXiv.org/abs/0906.1883
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From alspach at fourier.math.okstate.edu Mon Jun 29 16:32:44 2009
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X-Original-To: alspach
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id BBDE4D0CB8; Mon, 29 Jun 2009 16:32:44 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Michael Cwikel and Alon Ivtsan
Message-Id: <20090629213244.BBDE4D0CB8 at fourier.math.okstate.edu>
Date: Mon, 29 Jun 2009 16:32:44 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Counterexamples for interpolation
of compact Lipschitz operators" by Michael Cwikel and Alon Ivtsan.
Abstract: Let (A_0,A_1) and (B_0,B_1) be Banach couples with A_0 contained
in A_1 and B_0 contained in B_1. Let T:A_1 --> B_1 be a possibly nonlinear
operator which is a compact Lipschitz map of A_j into B_j for j=0,1. It is
known that T maps the Lions-Peetre space (A_0,A_1)_\theta,q boundedly into
(B_0,B_1)_\theta,q for each \theta in (0,1) and each q in [1,\infty), and
that this map is also compact if if T is linear. We present examples which
show that in general the map T:(A_0,A_1)_\theta,q --> (B_0,B_1)_\theta,q
is not compact.
Archive classification: math.FA
Mathematics Subject Classification: 46B70 (primary), 47H99, 46B50
(secondary)
Remarks: 22 pages. The main results are on pages 1-8. Later pages contain
some additional more elaborate counterexamples
The source file(s), 14cCounterexample.tex: 76306 bytes e1e2yellow.jpg:
50818 bytes enen+1yellowgreen.jpg: 102039 bytes etnew.jpg: 65214
bytes newen-yellow.jpg: 56125 bytes, is(are) stored in gzipped form as
0906.2432.tar.gz with size 250kb. The corresponding postcript file has
gzipped size .
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/0906.2432
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http://arXiv.org/abs/0906.2432
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From alspach at fourier.math.okstate.edu Mon Jun 29 16:33:28 2009
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X-Original-To: alspach
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id 5F5C1D0CB8; Mon, 29 Jun 2009 16:33:28 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Anton Baranov and Harald Woracek
Message-Id: <20090629213328.5F5C1D0CB8 at fourier.math.okstate.edu>
Date: Mon, 29 Jun 2009 16:33:28 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Majorization in de Branges spaces
II. Banach spaces generated by majorants" by Anton Baranov and Harald
Woracek.
Abstract: This is the second part in a series dealing with subspaces
of de~Branges spaces of entire function generated by majorization on
subsets of the closed upper half-plane. In this part we investigate
certain Banach spaces generated by admissible majorants. We study
their interplay with the original de Branges space structure, and their
geometry. In particular, we will show that, generically, they will be
nonreflexive and nonseparable.
Archive classification: math.CV math.FA
Mathematics Subject Classification: 46E15, 46B26, 46E22
The source file(s), sprm5.tex: 84171 bytes, is(are) stored in gzipped
form as 0906.2943.gz with size 23kb. The corresponding postcript file
has gzipped size 145kb.
Submitted from: antonbaranov at netscape.net
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0906.2943
or
http://arXiv.org/abs/0906.2943
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From alspach at fourier.math.okstate.edu Mon Jun 29 16:34:33 2009
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X-Original-To: alspach
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Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id 48A3FD0CB8; Mon, 29 Jun 2009 16:34:33 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by D. Azagra, R. Fry, L. Keener
Message-Id: <20090629213433.48A3FD0CB8 at fourier.math.okstate.edu>
Date: Mon, 29 Jun 2009 16:34:33 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Smooth extensions of functions
on separable Banach spaces" by D. Azagra, R. Fry, and L. Keener.
Abstract: Let $X$ be a Banach space with a separable dual $X^{*}$. Let
$Y\subset X$ be a closed subspace, and $f:Y\to\mathbb{R}$ a $C^{1}$-smooth
function. Then we show there is a $C^{1}$ extension of $f$ to $X$.
Archive classification: math.FA
Mathematics Subject Classification: 46B20
Remarks: 14 pages
The source file(s), AFKJune14.tex: 44778 bytes, is(are) stored in gzipped
form as 0906.2989.gz with size 14kb. The corresponding postcript file
has gzipped size 97kb.
Submitted from: dazagra at gmail.com
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0906.2989
or
http://arXiv.org/abs/0906.2989
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From alspach at fourier.math.okstate.edu Mon Jun 29 16:35:31 2009
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X-Original-To: alspach
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Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id DE8F5D0CB8; Mon, 29 Jun 2009 16:35:31 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Daniel Carando and Daniel Galicer
Message-Id: <20090629213531.DE8F5D0CB8 at fourier.math.okstate.edu>
Date: Mon, 29 Jun 2009 16:35:31 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Unconditionality in tensor
products and ideals of polynomials, multilinear forms and operators"
by Daniel Carando and Daniel Galicer.
Abstract: We study tensor norms that destroy unconditionality in the
following sense: for every Banach space $E$ with unconditional basis, the
$n$-fold tensor product of $E$ (with the corresponding tensor norms) does
not have unconditional basis. We show that this holds for all injective
and projective tensor norms different from $\varepsilon$ and $\pi$,
both in the full and symmetric tensor products. In particular, every
nontrivial natural symmetric tensor norms destroys unconditionality. We
prove that there are exactly 6 natural symmetric tensor norms for $n\ge
3$, a noteworthy difference with the 2-fold case. We present applications
to polynomial ideals: we show that many polynomial ideals never have the
Gordon-Lewis property or, in the spirit of a result of Defant and Kalton,
can have the Gordon-Lewis property but never have unconditional basis. We
also consider unconditionality in multilinear and operator ideals.
Archive classification: math.FA
Mathematics Subject Classification: 46M05; 46G25; 47L20
Remarks: 27 pages
The source file(s), Carando-GalicerArxiv.tex: 100018 bytes, is(are)
stored in gzipped form as 0906.3253.gz with size 26kb. The corresponding
postcript file has gzipped size 163kb.
Submitted from: dgalicer at dm.uba.ar
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0906.3253
or
http://arXiv.org/abs/0906.3253
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From alspach at fourier.math.okstate.edu Mon Jun 29 16:36:14 2009
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 F3315D0CB8; Mon, 29 Jun 2009 16:36:13 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Baudier Florent
Message-Id: <20090629213613.F3315D0CB8 at fourier.math.okstate.edu>
Date: Mon, 29 Jun 2009 16:36:13 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Embeddings of proper metric spaces
into Banach spaces" by Baudier Florent.
Abstract: We show that there exists a strong uniform embedding from
any proper metric space into any Banach space without cotype. Then we
prove a result concerning the Lipschitz embedding of locally finite
subsets of $\mathcal{L}_{p}$-spaces. We use this locally finite result
to construct a coarse bi-Lipschitz embedding for proper subsets of
any $\mathcal{L}_p$-space into any Banach space $X$ containing the
$\ell_p^n$'s. Finally using an argument of G. Schechtman we prove that
for general proper metric spaces and for Banach spaces without cotype
a converse statement holds.
Archive classification: math.FA math.MG
Mathematics Subject Classification: 46B20; 51F99
Remarks: 16 pages
The source file(s), proper.tex: 34599 bytes, is(are) stored in gzipped
form as 0906.3696.gz with size 10kb. The corresponding postcript file
has gzipped size 91kb.
Submitted from: florent.baudier at univ-fcomte.fr
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0906.3696
or
http://arXiv.org/abs/0906.3696
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From alspach at fourier.math.okstate.edu Mon Jun 29 16:37:10 2009
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Delivered-To: alspach at fourier.math.okstate.edu
Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id B45AAD0CB8; Mon, 29 Jun 2009 16:37:10 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Jin Xi Chen, Zi Li Chen, and Ngai-Ching Wong
Message-Id: <20090629213710.B45AAD0CB8 at fourier.math.okstate.edu>
Date: Mon, 29 Jun 2009 16:37:10 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "A Banach-Stone theorem for
Riesz isomorphisms of Banach lattices" by Jin Xi Chen, Zi Li Chen,
and Ngai-Ching Wong.
Abstract: Let $X$ and $Y$ be compact Hausdorff spaces, and $E$, $F$ be
Banach lattices. Let $C(X,E)$ denote the Banach lattice of all continuous
$E$-valued functions on $X$ equipped with the pointwise ordering
and the sup norm. We prove that if there exists a Riesz isomorphism
$\mathnormal{\Phi}: C(X,E)\to C(Y,F)$ such that $\mathnormal{\Phi}f$ is
non-vanishing on $Y$ if and only if $f$ is non-vanishing on $X$, then $X$
is homeomorphic to $Y$, and $E$ is Riesz isomorphic to $F$. In this case,
$\mathnormal{\Phi}$ can be written as a weighted composition operator:
$\mathnormal{\Phi} f(y)=\mathnormal{\Pi}(y)(f(\varphi(y)))$, where
$\varphi$ is a homeomorphism from $Y$ onto $X$, and $\mathnormal{\Pi}(y)$
is a Riesz isomorphism from $E$ onto $F$ for every $y$ in $Y$. This
generalizes some known results obtained recently.
Archive classification: math.FA
Mathematics Subject Classification: 46B42, 47B65
The source file(s),
Chen_Chen_Wong_Banach-Stone_theorem_for_Riesz_isomorphisms.tex: 24807
bytes, is(are) stored in gzipped form as 0906.4196.gz with size 8kb. The
corresponding postcript file has gzipped size 71kb.
Submitted from: jinxichen at home.swjtu.edu.cn
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0906.4196
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http://arXiv.org/abs/0906.4196
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From alspach at fourier.math.okstate.edu Mon Jun 29 16:38:05 2009
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 B60B1D0CB8; Mon, 29 Jun 2009 16:38:05 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Mathilde Perrin
Message-Id: <20090629213805.B60B1D0CB8 at fourier.math.okstate.edu>
Date: Mon, 29 Jun 2009 16:38:05 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "A noncommutative Davis'
decomposition for martingales" by Mathilde Perrin.
Abstract: We prove an analogue of the classical Davis' decomposition
for martingales in noncommutative L_p-spaces, involving the square
functions. We also determine the dual space of the noncommutative
conditioned Hardy space \h_1. We further extend this latter result to
the case 1<p<2.
Archive classification: math.OA math.FA
Mathematics Subject Classification: 46L53, 46L52 (Primary) 46L51, 60G42
(Secondary)
Remarks: To be published in Journal of London Math. Soc
The source file(s), Nc_davis2.tex: 58260 bytes, is(are) stored in gzipped
form as 0906.4434.gz with size 15kb. The corresponding postcript file
has gzipped size 118kb.
Submitted from: mathilde.perrin at univ-fcomte.fr
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0906.4434
or
http://arXiv.org/abs/0906.4434
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From alspach at fourier.math.okstate.edu Mon Jun 29 16:38:53 2009
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id CD8AED0CB8; Mon, 29 Jun 2009 16:38:53 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Turdebek N. Bekjan, Zeqian Chen, Mathilde Perrin and Zhi Yin
Message-Id: <20090629213853.CD8AED0CB8 at fourier.math.okstate.edu>
Date: Mon, 29 Jun 2009 16:38:53 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Atomic decomposition and
interpolation for Hardy spaces of noncommutative martingales" by
Turdebek N. Bekjan, Zeqian Chen, Mathilde Perrin and Zhi Yin.
Abstract: We prove that atomic decomposition for the Hardy spaces h_1 and
H_1 is valid for noncommutative martingales. We also establish that the
conditioned Hardy spaces of noncommutative martingales h_p and bmo form
interpolation scales with respect to both complex and real interpolations.
Archive classification: math.OA math.FA
Mathematics Subject Classification: 46L53, 46L52
The source file(s), ncatom_interp.tex: 58773 bytes, is(are) stored in
gzipped form as 0906.4437.gz with size 16kb. The corresponding postcript
file has gzipped size 115kb.
Submitted from: mathilde.perrin at univ-fcomte.fr
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0906.4437
or
http://arXiv.org/abs/0906.4437
or by email in unzipped form by transmitting an empty message with
subject line
uget 0906.4437
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From alspach at fourier.math.okstate.edu Mon Jun 29 16:40:43 2009
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id 5EEABD0CB8; Mon, 29 Jun 2009 16:40:43 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Harald Hanche-Olsen and Helge Holden
Message-Id: <20090629214043.5EEABD0CB8 at fourier.math.okstate.edu>
Date: Mon, 29 Jun 2009 16:40:43 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "The Kolmogorov-Riesz compactness
theorem" by Harald Hanche-Olsen and Helge Holden.
Abstract: We show that the Arzela-Ascoli theorem and Kolmogorov
compactness theorem both are consequences of a simple lemma on compactness
in metric spaces. Their relation to Helly's theorem is discussed. The
paper contains a detailed discussion on the historical background of
the Kolmogorov compactness theorem.
Archive classification: math.CA math.FA
Mathematics Subject Classification: 46E30, 46E35; 46N20
The source file(s), kolmogorov.tex: 36412 bytes, is(are) stored in gzipped
form as 0906.4883.gz with size 12kb. The corresponding postcript file
has gzipped size 213kb.
Submitted from: holden at math.ntnu.no
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0906.4883
or
http://arXiv.org/abs/0906.4883
or by email in unzipped form by transmitting an empty message with
subject line
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From banach-bounces at math.okstate.edu Mon Jul 13 12:46:22 2009
Date: Mon, 13 Jul 2009 11:30:14 -0500 (CDT)
From: Bill Johnson <johnson at math.tamu.edu>
To: banach at math.okstate.edu
1st ANNOUNCEMENT OF SUMIRFAS 2009
The Informal Regional Functional Analysis Seminar
August 7 - 9
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 169. 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 148.
Speakers at SUMIRFAS 2009 include
Lewis Bowen, Orbit equivalence flexibility
Dorin Dutkay, Fourier series on fractals
Daniel Freeman, The universality of ell_1 as a dual space
Maria Girardi, Operator-valued martingale transforms and applications
Richard Haydon, TBA
Peter Kuchment, TBA
Hangfen Li, Convex analysis and noncommutative Choquet boundary
Mikhail Ostrovskii, Unitarizable representations and fixed points of
groups of
biholomorphic transformations of operator balls
Mihai Popa, On the conditionally free analogue of the S-transform
Sorin Popa, Group measure space decomposition of
factors and W*-superrigidity
Rachel Ward, Quiet sigma delta quantization: removing noisy periodicities
in analog-to-digital conversion
Rafal Latala, Assaf Naor, and Grigoris Paouris (chair) are
organizing a Concentration Week on "Probability in Asymptotic Geometry"
for the week of
July 20-24. This Concentration Week will focus on high dimensional
phenomena
concerning convex bodies, random polytopes, and random matrices.
These topics lie in the intersection of probability, analysis, geometry,
and combinatorics. The goal is to expose the huge variety of techniques
used in the study of these objects
and to explore the connections between them.
Marius Junge, Jesse Peterson, and Gilles Pisier (chair) are organizing a
Concentration Week on "Operator Spaces and Approximation Properties of
Discrete Groups" for the week of August 3-7. Particular emphasis will be
taken to tie together recent results from the theory of von Neumann
algebras with operator space ideas. The intention is to provide a
background for common points of interest from different perspectives
through courses on operator spaces and Dirichlet forms in von Neumann
algebras. The intention of this concentration week is to attract attention
of younger researchers and students to these new openings.
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 her if
you are requesting support. Minorities, women, graduate students, and
young
researchers are especially encouraged to apply.
For logistical support, including requests for 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 "Probability in Asymptotic
Geometry" contact Grigoris Paouris <grigoris at math.tamu.edu>.
For information about the Concentration Week on "Operator Spaces and
Approximation Properties of Discrete Groups", contact Gilles Pisier
<pisier at math.tamu.edu>.
_______________________________________________
Banach mailing list
Banach at math.okstate.edu
https://mail.math.okstate.edu/mailman/listinfo/banach
From alspach at fourier.math.okstate.edu Tue Jul 14 12:50:41 2009
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id EFF11D07D0; Tue, 14 Jul 2009 12:50:40 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Eric Ricard and Quanhua Xu
Message-Id: <20090714175040.EFF11D07D0 at fourier.math.okstate.edu>
Date: Tue, 14 Jul 2009 12:50:40 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Complex interpolation of weighted
noncommutative $L_p$-spaces" by Eric Ricard and Quanhua Xu.
Abstract: Let $\mathcal{M}$ be a semifinite von Neumann algebra equipped
with a semifinite normal faithful trace $\tau$. Let $d$ be an injective
positive measurable operator with respect to $(\mathcal{M},\,\tau)$
such that $d^{-1}$ is also measurable. Define
$$L_p(d)=\left\{x\in L_0(\mathcal{M})\;:\; dx+xd\in
L_p(\mathcal{M})\right\}\quad\mbox{and}\quad
\|x\|_{L_p(d)}=\|dx+xd\|_p\,.$$ We show that for $1\le p_0<p_1\le\8$,
$0<\theta<1$ and $\alpha_0\ge0, \alpha_1\ge0$ the interpolation equality
$$(L_{p_0}(d^{\alpha_0}),\;L_{p_1}(d^{\alpha_1}))_\theta
=L_{p}(d^{\alpha})$$ holds with equivalent norms, where
$\frac1p=\frac{1-\theta}{p_0}+\frac{\theta}{p_1}$ and
$\alpha=(1-\theta)\alpha_0+\theta\alpha_1$.
Archive classification: math.FA math.OA
Mathematics Subject Classification: 46L50; 46M35; 47L15
Remarks: To appear in Houston J. Math
The source file(s), inter.tex: 37005 bytes, is(are) stored in gzipped
form as 0906.5305.gz with size 12kb. The corresponding postcript file
has gzipped size 90kb.
Submitted from: quanhua.xu at univ-fcomte.fr
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0906.5305
or
http://arXiv.org/abs/0906.5305
or by email in unzipped form by transmitting an empty message with
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From alspach at fourier.math.okstate.edu Tue Jul 14 12:51:36 2009
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id DEDFFD07D0; Tue, 14 Jul 2009 12:51:36 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Marius Junge and Quanhua Xu
Message-Id: <20090714175136.DEDFFD07D0 at fourier.math.okstate.edu>
Date: Tue, 14 Jul 2009 12:51:36 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Representation of certain
homogeneous Hilbertian operator spaces and applications" by Marius
Junge and Quanhua Xu.
Abstract: Following Grothendieck's characterization of Hilbert spaces we
consider operator spaces $F$ such that both $F$ and $F^*$ completely embed
into the dual of a C*-algebra. Due to Haagerup/Musat's improved version
of Pisier/Shlyakhtenko's Grothendieck inequality for operator spaces,
these spaces are quotients of subspaces of the direct sum $C\oplus R$
of the column and row spaces (the corresponding class being denoted by
$QS(C\oplus R)$). We first prove a representation theorem for homogeneous
$F\in QS(C\oplus R)$ starting from the fundamental sequences defined by
column and row norms of unit vectors. Under a mild regularity assumption
on these sequences we show that they completely determine the operator
space structure of $F$ and find a canonical representation of this
important class of homogeneous Hilbertian operator spaces in terms of
weighted row and column spaces. This canonical representation allows us to
get an explicit formula for the exactness constant of an $n$-dimensional
subspace $F_n$ of $F$ involving the fundamental sequences. Similarly,
we have formulas for the the projection (=injectivity) constant of
$F_n$. They also permit us to determine the completely 1-summing maps
in Effros and Ruan's sense between two homogeneous spaces $E$ and $F$
in $QS(C\oplus R)$.
Archive classification: math.FA math.OA
Mathematics Subject Classification: 46L07; 47L25
Remarks: To appear in Invent. Math
The source file(s), orlicz.tex: 131749 bytes, is(are) stored in gzipped
form as 0906.5308.gz with size 39kb. The corresponding postcript file
has gzipped size 223kb.
Submitted from: quanhua.xu at univ-fcomte.fr
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0906.5308
or
http://arXiv.org/abs/0906.5308
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From alspach at fourier.math.okstate.edu Tue Jul 14 13:08:45 2009
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X-Original-To: alspach
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id 08D1AD07D0; Tue, 14 Jul 2009 13:08:44 -0500 (CDT)
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: <20090714180845.08D1AD07D0 at fourier.math.okstate.edu>
Date: Tue, 14 Jul 2009 13:08:44 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Corrigendum to [Approximation
by Lipschitz, C^{p} smooth functions on weakly compactly generated
Banach spaces, J. Funct. Anal. 252 (2007), no. 1, 34--41.]" by R. Fry
and L. Keener.
Abstract: This note is a corrigendum to an earlier paper by the
first named author. The original proof contained a gap which is
here corrected under the formally stronger hypothesis that X admit
a C^{p} smooth norm rather than merely a Lipschitz, C^{p} smooth bump
function. More precisely, it is shown that on weakly compactly generated
Banach spaces X which admit a C^{p} smooth norm, one can uniformly
approximate uniformly continuous functions f:X->R by Lipschitz, C^{p}
smooth functions. Additionally it is shown in this note that there is a
constant C>1 so that any L-Lipschitz function f:X->R can be uniformly
approximated by CL-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
The source file(s), LIPWCGJune3009.tex: 45249 bytes, is(are) stored in
gzipped form as 0907.0241.gz with size 12kb. The corresponding postcript
file has gzipped size 98kb.
Submitted from: rfry at tru.ca
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0907.0241
or
http://arXiv.org/abs/0907.0241
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From alspach at fourier.math.okstate.edu Tue Jul 14 13:09:41 2009
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X-Original-To: alspach
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Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id C3761D07D0; Tue, 14 Jul 2009 13:09:41 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Sean Dineen and Richard M. Timoney
Message-Id: <20090714180941.C3761D07D0 at fourier.math.okstate.edu>
Date: Tue, 14 Jul 2009 13:09:41 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Complex geodesics on convex
domains" by Sean Dineen and Richard M. Timoney.
Abstract: Existence and uniqueness of complex geodesics joining two points
of a convex bounded domain in a Banach space $X$ are considered. Existence
is proved for the unit ball of $X$ under the assumption that $X$
is 1-complemented in its double dual. Another existence result for
taut domains is also proved. Uniqueness is proved for strictly convex
bounded domains in spaces with the analytic Radon-Nikodym property. If the
unit ball of $X$ has a modulus of complex uniform convexity with power
type decay at 0, then all complex geodesics in the unit ball satisfy a
Lipschitz condition. The results are applied to classical Banach spaces
and to give a formula describing all complex geodesics in the unit ball
of the sequence spaces $\ell^p$ ($1 \leq p < \infty$).
Archive classification: math.FA math.CV math.MG
Mathematics Subject Classification: 46G20; 32H15; 46B45; 53C22
Citation: Progress in Functional Analysis, North Holland Mathematical
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0907.1194
or
http://arXiv.org/abs/0907.1194
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From alspach at fourier.math.okstate.edu Tue Jul 14 13:10:47 2009
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X-Original-To: alspach
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Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id 6B7E4D07D0; Tue, 14 Jul 2009 13:10:47 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by V.Capraro and S.Rossi
Message-Id: <20090714181047.6B7E4D07D0 at fourier.math.okstate.edu>
Date: Tue, 14 Jul 2009 13:10:47 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Banach spaces which embed into
their dual" by V.Capraro and S.Rossi.
Abstract: We provide a nice characterization of the classical
Riesz-Frechet representation theorem: if a Banach space embeds
isometrically into its dual space, under some other natural assumptions,
then it is a Hilbert space and the embedding is actually the canonical
one (which becomes automatically surjective). We also see that requiring
surjectivity a priori, one can considerably weak one of the ''other
hypothesis''. Anyway, it should remains to prove that our assumptions
are minimal. It seems to be a difficult problem in general, because it is
already not easy at all to find non-trivial examples (Hilbert spaces!) of
Banach spaces which embed isometrically into their own dual. We will
discuss in some details only the fatality of the ''isometric hypothesi''
which however brought us to find an example of compact convex Hausdorff
space which does not admit a Borel measure with full support.
Archive classification: math.FA
Remarks: 7 pages
The source file(s), articolo.tex: 17079 bytes, is(are) stored in gzipped
form as 0907.1813.gz with size 6kb. The corresponding postcript file
has gzipped size 50kb.
Submitted from: capraro at mat.uniroma2.it
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0907.1813
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From alspach at fourier.math.okstate.edu Mon Aug 17 16:39:22 2009
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id 01B0AD0A49; Mon, 17 Aug 2009 16:39:21 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Dario Cordero-Erausquin and Michel Ledoux
Message-Id: <20090817213922.01B0AD0A49 at fourier.math.okstate.edu>
Date: Mon, 17 Aug 2009 16:39:21 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "The geometry of Euclidean
convolution inequalities and entropy" by Dario Cordero-Erausquin and
Michel Ledoux.
Abstract: The goal of this note is to show that some convolution
type inequalities from Harmonic Analysis and Information Theory,
such as Young's convolution inequality (with sharp constant), Nelson's
hypercontractivity of the Hermite semi-group or Shannon's inequality,
can be reduced to a simple geometric study of frames of $\R^2$. We shall
derive directly entropic inequalities, which were recently proved to be
dual to the Brascamp-Lieb convolution type inequalities.
Archive classification: math.FA math.PR
The source file(s), geoconv5.tex: 49291 bytes, is(are) stored in gzipped
form as 0907.2861.gz with size 16kb. The corresponding postcript file
has gzipped size 113kb.
Submitted from: cordero at math.jussieu.fr
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0907.2861
or
http://arXiv.org/abs/0907.2861
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From alspach at fourier.math.okstate.edu Mon Aug 17 16:40:17 2009
Return-Path: <alspach at fourier.math.okstate.edu>
X-Original-To: alspach
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id 40022D0A49; Mon, 17 Aug 2009 16:40:17 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Spiros A. Argyros, A. Manoussakis, and Anna M. Pelczar
Message-Id: <20090817214017.40022D0A49 at fourier.math.okstate.edu>
Date: Mon, 17 Aug 2009 16:40:17 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "On the hereditary proximity to
$\ell_1$" by Spiros A. Argyros, A. Manoussakis, and Anna M. Pelczar.
Abstract: In the first part of the paper we present and discuss concepts
of local and asymptotic hereditary proximity to \ell_1. The second part
is devoted to a complete separation of the hereditary local proximity
to \ell_1 from the asymptotic one. More precisely for every countable
ordinal \xi we construct a separable reflexive space \mathfrak{X}_\xi such
that every infinite dimensional subspace of it has Bourgain \ell_1-index
greater than \omega^\xi and the space itself has no \ell_1-spreading
model. We also present a reflexive HI space admitting no \ell_p as a
spreading model.
Archive classification: math.FA
Mathematics Subject Classification: 46B20; 46B15; 03E10; 05A17
Remarks: 40 pages, submitted for publication
The source file(s), proximity.tex: 158273 bytes, is(are) stored in gzipped
form as 0907.4317.gz with size 43kb. The corresponding postcript file
has gzipped size 238kb.
Submitted from: anna.pelczar at im.uj.edu.pl
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0907.4317
or
http://arXiv.org/abs/0907.4317
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From alspach at fourier.math.okstate.edu Mon Aug 17 16:41:45 2009
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 C3645D0A49; Mon, 17 Aug 2009 16:41:45 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Stephan Ramon Garcia and Warren R. Wogen
Message-Id: <20090817214145.C3645D0A49 at fourier.math.okstate.edu>
Date: Mon, 17 Aug 2009 16:41:45 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Complex symmetric partial
isometries" by Stephan Ramon Garcia and Warren R. Wogen.
Abstract: An operator $T \in B(\h)$ is complex symmetric if there
exists a conjugate-linear, isometric involution $C:\h\to\h$ so that $T
= CT^*C$. We provide a concrete description of all complex symmetric
partial isometries. In particular, we prove that any partial isometry
on a Hilbert space of dimension $\leq 4$ is complex symmetric.
Archive classification: math.FA math.OA
Mathematics Subject Classification: 47B99
Citation: J. Funct. Analysis 257 (2009), 1251-1260
Remarks: 9 pages
The source file(s), CSPI.tex: 33368 bytes, is(are) stored in gzipped
form as 0907.4486.gz with size 10kb. The corresponding postcript file
has gzipped size 68kb.
Submitted from: Stephan.Garcia at pomona.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0907.4486
or
http://arXiv.org/abs/0907.4486
or by email in unzipped form by transmitting an empty message with
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uget 0907.4486
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From alspach at fourier.math.okstate.edu Mon Aug 17 16:42:52 2009
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id C7C44D0A49; Mon, 17 Aug 2009 16:42:52 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Benoit Kloeckner
Message-Id: <20090817214252.C7C44D0A49 at fourier.math.okstate.edu>
Date: Mon, 17 Aug 2009 16:42:52 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Sharp quantitative isoperimetric
inequalities in the $L^1$ Minkowski plane" by Benoit Kloeckner.
Abstract: We prove that a plane domain which is almost isoperimetric
(with respect to the $L^1$ metric) is close to a square whose sides
are parallel to the coordinates axis. Closeness is measured either by
$L^\infty$ Haussdorf distance or Fraenkel asymmetry. In the first case,
we determine the extremal domains.
Archive classification: math.FA math.DG
Mathematics Subject Classification: MSC 51M16, 51M25, 49Q20
Remarks: 9 pages
The source file(s), central_square.pstex: 6034 bytes
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0907.4945
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http://arXiv.org/abs/0907.4945
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From alspach at fourier.math.okstate.edu Mon Aug 17 16:43:45 2009
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id C908BD0A49; Mon, 17 Aug 2009 16:43:45 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Stephen Simons
Message-Id: <20090817214345.C908BD0A49 at fourier.math.okstate.edu>
Date: Mon, 17 Aug 2009 16:43:45 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Banach SSD spaces and classes of
monotone sets" by Stephen Simons.
Abstract: In this paper, we unify the theory of SSD spaces and the theory
of strongly representable sets, and we apply our results to the theory
of the various classes of maximally monotone sets. We obtain some new
results about these, as well as some new proofs of old ones.
Archive classification: math.FA
Mathematics Subject Classification: 47H05, 47N10, 46N10
The source file(s), SSDMONarxiv.tex: 116002 bytes, is(are) stored in
gzipped form as 0908.0383.gz with size 29kb. The corresponding postcript
file has gzipped size 133kb.
Submitted from: simons at math.ucsb.edu
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http://front.math.ucdavis.edu/0908.0383
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From alspach at fourier.math.okstate.edu Mon Aug 17 16:44:26 2009
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id A3327D0A49; Mon, 17 Aug 2009 16:44:26 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Elena Ournycheva and Boris Rubin
Message-Id: <20090817214426.A3327D0A49 at fourier.math.okstate.edu>
Date: Mon, 17 Aug 2009 16:44:26 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "On Y. Nievergelt's inversion
formula for the Radon transform" by Elena Ournycheva and Boris Rubin.
Abstract: We generalize Y. Nievergelt's inversion method for the Radon
transform on lines in the 2-plane to the $k$-plane Radon transform of
continuous and $L^p$ functions on $R^n$ for all $1\leq k<n$.
Archive classification: math.FA
Mathematics Subject Classification: Primary 42C40; Secondary 44A12
Remarks: 9 pages
The source file(s), niev-amsproc4.tex: 29069 bytes, is(are) stored in
gzipped form as 0908.0492.gz with size 10kb. The corresponding postcript
file has gzipped size 78kb.
Submitted from: elo10 at pitt.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0908.0492
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From alspach at fourier.math.okstate.edu Mon Aug 17 16:46:45 2009
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id 5F9E9D0A49; Mon, 17 Aug 2009 16:46:45 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Kevin Beanland
Message-Id: <20090817214645.5F9E9D0A49 at fourier.math.okstate.edu>
Date: Mon, 17 Aug 2009 16:46:45 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Operators on asymptotic $\ell_p$
spaces which are not compact perturbations of a multiple of the
identity" by Kevin Beanland.
Abstract: We give sufficient conditions on an asymptotic $\ell_p$
(for $1 < p < \infty$) Banach space which ensure the space admits
an operator which is not a compact perturbation of a multiple of the
identity. These conditions imply the existence of strictly singular
non-compact operators on the HI spaces constructed by G. Androulakis
and the author and by I. Deliyanni and A. Manoussakis. Additionally we
show that under these same conditions on the space $X$, $\ell_\infty$
embeds isomorphically into the space of bounded linear operators on $X$.
Archive classification: math.FA
The source file(s), SSnonCPT.tex: 51728 bytes, is(are) stored in gzipped
form as 0908.1107.gz with size 16kb. The corresponding postcript file
has gzipped size 120kb.
Submitted from: kbeanland at gmail.com
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0908.1107
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From alspach at fourier.math.okstate.edu Tue Sep 8 14:29:40 2009
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id 4E860D0A72; Tue, 8 Sep 2009 14:29:40 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Maxim V. Balashov and Dusan Repovs
Message-Id: <20090908192940.4E860D0A72 at fourier.math.okstate.edu>
Date: Tue, 8 Sep 2009 14:29:40 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Uniform convexity and the splitting
problem for selections" by Maxim V. Balashov and Dusan Repovs.
Abstract: We continue to investigate cases when the Repov\v{s}-Semenov
splitting problem for selections has an affirmative solution
for continuous set-valued mappings. We consider the situation in
infinite-dimensional uniformly convex Banach spaces. We use the notion of
Polyak of uniform convexity and modulus of uniform convexity for arbitrary
convex sets (not necessary balls). We study general geometric properties
of uniformly convex sets. We also obtain an affirmative solution of the
splitting problem for selections of certain set-valued mappings with
uniformly convex images.
Archive classification: math.GN math.FA
Mathematics Subject Classification: 54C60; 54C65; 52A07; 46A55; 52A01
Citation: J. Math. Anal. Appl. 360:1 (2009), 307-316
The source file(s), balashov+repovs2-final.tex: 49005 bytes, is(are)
stored in gzipped form as 0908.1216.gz with size 15kb. The corresponding
postcript file has gzipped size 91kb.
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/0908.1216
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From alspach at fourier.math.okstate.edu Tue Sep 8 14:30:43 2009
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id 351B8D0A72; Tue, 8 Sep 2009 14:30:43 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Kevin Beanland
Message-Id: <20090908193043.351B8D0A72 at fourier.math.okstate.edu>
Date: Tue, 8 Sep 2009 14:30:43 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "An ordinal index on the space of
strictly singular operators" by Kevin Beanland.
Abstract: Using the notion of $S_\xi$-strictly singular operator
introduced by Androulakis, Dodos, Sirotkin and Troitsky, we define an
ordinal index on the subspace of strictly singular operators between two
separable Banach spaces. In our main result, we provide a sufficient
condition implying that this index is bounded by $\omega_1$. In
particular, we apply this result to study operators on totally
incomparable spaces, hereditarily indecomposable spaces and spaces with
few operators.
Archive classification: math.FA
Mathematics Subject Classification: 46B28; 03E15
Remarks: 8 pages
The source file(s), , is(are) stored in gzipped form as with size . The
corresponding postcript file has gzipped size .
Submitted from: kbeanland at gmail.com
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0908.1113
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http://arXiv.org/abs/0908.1113
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From alspach at fourier.math.okstate.edu Tue Sep 8 14:31:41 2009
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id C894ED0A72; Tue, 8 Sep 2009 14:31:41 -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: <20090908193141.C894ED0A72 at fourier.math.okstate.edu>
Date: Tue, 8 Sep 2009 14:31:41 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Pointwise symmetrization
inequalities for Sobolev functions and applications" by Joaquim Martin
and Mario Milman.
Abstract: We develop a technique to obtain new symmetrization inequalities
that provide a unified framework to study Sobolev inequalities,
concentration inequalities and sharp integrability of solutions of
elliptic equations
Archive classification: math.FA math.AP
The source file(s), martin-milman-symm.tex: 205567 bytes, is(are)
stored in gzipped form as 0908.1751.gz with size 53kb. The corresponding
postcript file has gzipped size 289kb.
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/0908.1751
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From alspach at fourier.math.okstate.edu Tue Sep 8 14:33:23 2009
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id 4CF4AD0A72; Tue, 8 Sep 2009 14:33:23 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Shannon Bishop
Message-Id: <20090908193323.4CF4AD0A72 at fourier.math.okstate.edu>
Date: Tue, 8 Sep 2009 14:33:23 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Mixed modulation spaces and their
application to pseudodifferential operators" by Shannon Bishop.
Abstract: This paper uses frame techniques to characterize the Schatten
class properties of integral operators. The main result shows that
if the coefficients of certain frame expansions of the kernel of an
integral operator are in \( \ell^{2,p} \), then the operator is Schatten
p-class. As a corollary, we conclude that if the kernel or Kohn-Nirenberg
symbol of a pseudodifferential operator lies in a particular mixed
modulation space, then the operator is Schatten p-class. Our corollary
improves existing Schatten class results for pseudodifferential operators
and the corollary is sharp in the sense that larger mixed modulation
spaces yield operators that are not Schatten class.
Archive classification: math.FA math.CA
Mathematics Subject Classification: 35S05 (Primary) 42C15, 47B10
(Secondary)
Remarks: To be published in Journal of Mathematical Analysis and
Applications
The source file(s), genmodshortD3.tex: 53295 bytes, is(are) stored in
gzipped form as 0908.3420.gz with size 13kb. The corresponding postcript
file has gzipped size 108kb.
Submitted from: sbishop at math.gatech.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0908.3420
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From alspach at fourier.math.okstate.edu Tue Sep 8 14:34:31 2009
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id 2187CD0A72; Tue, 8 Sep 2009 14:34:31 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Rafael Dahmen
Message-Id: <20090908193431.2187CD0A72 at fourier.math.okstate.edu>
Date: Tue, 8 Sep 2009 14:34:31 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Lie groups associated to
H"older-continuous functions" by Rafael Dahmen.
Abstract: We proof some basic tools about spaces of H"older-continuous
functions between (in general infinite dimensional) Banach spaces and use
them to construct new examples of infinite dimensional (LB)-Lie groups.
Archive classification: math.FA
The source file(s), hoelder.bbl: 1140 bytes
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0908.3843
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From alspach at fourier.math.okstate.edu Fri Sep 25 14:19:37 2009
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id 0D0FBD0A21; Fri, 25 Sep 2009 14:19:36 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Miguel Martin and T.S.S.R.K. Rao
Message-Id: <20090925191937.0D0FBD0A21 at fourier.math.okstate.edu>
Date: Fri, 25 Sep 2009 14:19:36 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "On remotality for convex sets in
Banach spaces" by Miguel Martin and T.S.S.R.K. Rao.
Abstract: We show that every infinite dimensional Banach space has a
closed and bounded convex set that is not remotal.
Archive classification: math.FA
Mathematics Subject Classification: Primary 46B20, Secondary 41A50
Remarks: 5 pages, to appear in the Journal of Approximation Theory
The source file(s), Arxiv-2009-09-10-nonremotal.tex: 16101 bytes, is(are)
stored in gzipped form as 0909.1992.gz with size 6kb. The corresponding
postcript file has gzipped size 73kb.
Submitted from: mmartins at ugr.es
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0909.1992
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http://arXiv.org/abs/0909.1992
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From alspach at fourier.math.okstate.edu Fri Sep 25 14:20:15 2009
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id AB8D7D0A21; Fri, 25 Sep 2009 14:20:15 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Mark Veraar
Message-Id: <20090925192015.AB8D7D0A21 at fourier.math.okstate.edu>
Date: Fri, 25 Sep 2009 14:20:15 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "On Khintchine inequalities with
a weight" by Mark Veraar.
Abstract: In this note we prove a weighted version of the Khintchine
inequalities.
Archive classification: math.PR math.FA
Mathematics Subject Classification: 60E15; 60G50
The source file(s), Khintchine_arxiv.tex: 12141 bytes, is(are) stored in
gzipped form as 0909.2586.gz with size 5kb. The corresponding postcript
file has gzipped size 50kb.
Submitted from: mark at profsonline.nl
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0909.2586
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http://arXiv.org/abs/0909.2586
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From alspach at fourier.math.okstate.edu Fri Sep 25 14:21:02 2009
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id 2D462D0A21; Fri, 25 Sep 2009 14:21:02 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Volker Runde
Message-Id: <20090925192102.2D462D0A21 at fourier.math.okstate.edu>
Date: Fri, 25 Sep 2009 14:21:02 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "(Non-)amenability of B(E)" by
Volker Runde.
Abstract: In 1972, the late B. E. Johnson introduced the notion of an
amenable Banach algebra and asked whether the Banach algebra $B(E)$ of
all bounded linear operators on a Banach space $E$ could ever be amenable
if $\dim E = \infty$. Somewhat surprisingly, this question was answered
positively only very recently as a by-product of the Argyros--Haydon
result that solves the ``scalar plus compact problem'': there is an
infinite-dimensional Banach space $E$, the dual of which is $\ell^1$,
such that $B(E) = K(E)+ \mathbb{C} \, \id_E$. Still, $B(\ell^2)$
is not amenable, and in the past decade, $ B(\ell^p)$ was found to
be non-amenable for $p=1,2,\infty$ thanks to the work of C. J. Read,
G. Pisier, and N. Ozawa. We survey those results, and then---based
on joint work with M. Daws---outline a proof that establishes the
non-amenability of $B(\ell^p)$ for all $p \in [1,\infty]$.
Archive classification: math.FA math.HO
Mathematics Subject Classification: Primary 47L10; Secondary 46B07,
46B45, 46H20
Remarks: 16 pages; a survey article
The source file(s), BE.tex: 42631 bytes
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0909.2628
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http://arXiv.org/abs/0909.2628
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From alspach at fourier.math.okstate.edu Fri Sep 25 14:21:57 2009
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id 95111D0A21; Fri, 25 Sep 2009 14:21:57 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Heinz H. Bauschke, Xianfu Wang, and Liangjin Yao
Message-Id: <20090925192157.95111D0A21 at fourier.math.okstate.edu>
Date: Fri, 25 Sep 2009 14:21:57 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Examples of discontinuous maximal
monotone linear operators and the solution to a recent problem posed
by B.F. Svaiter" by Heinz H. Bauschke, Xianfu Wang, and Liangjin Yao.
Abstract: In this paper, we give two explicit examples of unbounded
linear maximal monotone operators. The first unbounded linear maximal
monotone operator $S$ on $\ell^{2}$ is skew. We show its domain is
a proper subset of the domain of its adjoint $S^*$, and $-S^*$ is not
maximal monotone. This gives a negative answer to a recent question posed
by Svaiter. The second unbounded linear maximal monotone operator is the
inverse Volterra operator $T$ on $L^{2}[0,1]$. We compare the domain of
$T$ with the domain of its adjoint $T^*$ and show that the skew part of
$T$ admits two distinct linear maximal monotone skew extensions. These
unbounded linear maximal monotone operators show that the constraint
qualification for the maximality of the sum of maximal monotone operators
can not be significantly weakened, and they are simpler than the example
given by Phelps-Simons. Interesting consequences on Fitzpatrick functions
for sums of two maximal monotone operators are also given.
Archive classification: math.FA math.OC
Mathematics Subject Classification: 47A06; 47H05; 47A05; 47B65
The source file(s), arxiv.tex: 67090 bytes, is(are) stored in gzipped
form as 0909.2675.gz with size 18kb. The corresponding postcript file
has gzipped size 133kb.
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/0909.2675
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From alspach at fourier.math.okstate.edu Fri Sep 25 14:22:58 2009
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id 276F1D0A21; Fri, 25 Sep 2009 14:22:58 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Tuomas P. Hytonen
Message-Id: <20090925192258.276F1D0A21 at fourier.math.okstate.edu>
Date: Fri, 25 Sep 2009 14:22:58 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "New thoughts on the vector-valued
Mihlin-H\"ormander multiplier theorem" by Tuomas P. Hytonen.
Abstract: Let X be a UMD space with type t and cotype q, and let T be a
Fourier multiplier operator with a scalar-valued symbol m. If the Mihlin
multiplier estimate holds for all partial derivatives of m up to the
order n/max(t,q')+1, then T is bounded on the X-valued Bochner spaces. For
scalar-valued multipliers, this improves the theorem of Girardi and Weis
(J. Funct. Anal., 2003) who required similar assumptions for derivatives
up to the order n/r+1, where r is a Fourier-type of X. However, the
present method does not apply to operator-valued multipliers, which are
also covered by the Girardi-Weis theorem.
Archive classification: math.FA
Mathematics Subject Classification: 42B15; 46B09; 46B20
Remarks: 8 pages, submitted
The source file(s), cotype-multipliers.bbl: 2535 bytes
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0909.3225
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http://arXiv.org/abs/0909.3225
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From alspach at fourier.math.okstate.edu Fri Sep 25 14:25:05 2009
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id ACFC6D0A21; Fri, 25 Sep 2009 14:25:05 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Lee-Ad Gottlieb and Robert Krauthgamer
Message-Id: <20090925192505.ACFC6D0A21 at fourier.math.okstate.edu>
Date: Fri, 25 Sep 2009 14:25:05 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "A nonlinear approach to dimension
reduction" by Lee-Ad Gottlieb and Robert Krauthgamer.
Abstract: A powerful embedding theorem in the context of
dimension reduction is the $\ell_2$ flattening lemma of Johnson and
Lindenstrauss. It has been conjectured that improved dimension bounds
may be achievable for some data sets by bounding the target dimension
in terms of the intrinsic dimensionality of the data set (for example,
the doubling dimension). One such problem was proposed by Lang and Plaut,
and is still open. We pose another question in this line of work:
Does the snowflake metric $d^{1/2}$ of a doubling set $S\subset\ell_2$
always
embed with distortion O(1) into $\ell_2^D$, for dimension $D$ that
depends solely on the doubling constant of the metric?
We resolve this question in the affirmative, and furthermore obtain
distortion arbitrarily close to 1. Moreover, our techniques are
sufficiently robust to be applicable also to the more difficult spaces
$\ell_1$ and $\ell_\infty$, although these extensions achieve dimension
bounds that are quantitatively inferior than those for $\ell_2$.
Archive classification: cs.CG cs.DS math.FA
The source file(s), , is(are) stored in gzipped form as with size . The
corresponding postcript file has gzipped size .
Submitted from: adi at cs.nyu.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0907.5477
or
http://arXiv.org/abs/0907.5477
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 25 14:29:05 2009
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id F13DED0A21; Fri, 25 Sep 2009 14:29:04 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Grigoris Paouris and Elisabeth M. Werner
Message-Id: <20090925192904.F13DED0A21 at fourier.math.okstate.edu>
Date: Fri, 25 Sep 2009 14:29:04 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Relative entropy of cone measures
and $L_p$ centroid bodies" by Grigoris Paouris and Elisabeth M. Werner.
Abstract: Let $K$ be a convex body in $\mathbb R^n$. We introduce a new
affine invariant, which we call $\Omega_K$, that can be found in three
different ways:
as a limit of normalized $L_p$-affine surface areas, as the relative
entropy of the cone measure of $K$ and the cone measure of
$K^\circ$,
as the limit of the volume difference of $K$ and $L_p$-centroid bodies.
We investigate properties of $\Omega_K$ and of related new invariant
quantities. In particular, we show new affine isoperimetric inequalities
and we show a "information inequality" for convex bodies.
Archive classification: math.FA
Mathematics Subject Classification: 52A20, 53A15
The source file(s), PaourWern.tex: 116056 bytes, is(are) stored in gzipped
form as 0909.4361.gz with size 27kb. The corresponding postcript file
has gzipped size 188kb.
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/0909.4361
or
http://arXiv.org/abs/0909.4361
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From pisier at math.tamu.edu Tue Sep 29 18:30:32 2009
Return-Path: <pisier at math.tamu.edu>
Date: Tue, 29 Sep 2009 18:22:32 -0500 (CDT)
From: Gilles Pisier <pisier at math.tamu.edu>
To: alspach at math.okstate.edu
Subject: Maurey-Schwartz seminar (fwd)
Message-ID: <Pine.LNX.4.64.0909291822210.25801 at fourier.math.tamu.edu>
MIME-Version: 1.0
Content-Type: TEXT/PLAIN; charset=US-ASCII
X-Virus-Scanned: ClamAV using ClamSMTP
maybe this would be of interest to
the BBBoard ?...just in case I send you copy
best
g
---------- Forwarded message ----------
Date: Tue, 29 Sep 2009 18:01:21 -0500 (CDT)
From: Gilles Pisier <pisier at math.tamu.edu>
To: johnson <johnson at math.tamu.edu>
Cc: schechtman <gideon at wisdom.weizmann.ac.il>
Subject: Maurey-Schwartz seminar
perhaps you all already know this
but just in case I just found out (perhaps not new info...)
the Maurey Schwartz seminars
have ALL been scanned and are on line at
http://www.numdam.org/numdam-bin/recherche
just select under journals
seminaire d analyse fonctionnelle (also known as seminaire
Maurey-Schwartz)
so you can fill the gaps in your collection !
best
gilles
From alspach at fourier.math.okstate.edu Fri Oct 16 16:24:01 2009
Return-Path: <alspach at fourier.math.okstate.edu>
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id ED7B2D0A85; Fri, 16 Oct 2009 16:24:00 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Stefano Rossi
Message-Id: <20091016212400.ED7B2D0A85 at fourier.math.okstate.edu>
Date: Fri, 16 Oct 2009 16:24:00 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "On a characterization of separable
dual Banach spaces through determinant subspaces of attaining-norm
linear forms" by Stefano Rossi.
Abstract: Necessary and sufficient conditions for a separable Banach
space to be(isometrically isomorphic to) a dual space will be given.
Archive classification: math.FA
Remarks: 7 pages
The source file(s), articolodef.tex: 24589 bytes, is(are) stored in
gzipped form as 0909.4980.gz with size 8kb. The corresponding postcript
file has gzipped size 66kb.
Submitted from: s-rossi at mat.uniroma1.it
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0909.4980
or
http://arXiv.org/abs/0909.4980
or by email in unzipped form by transmitting an empty message with
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uget 0909.4980
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From alspach at fourier.math.okstate.edu Fri Oct 16 16:25:39 2009
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X-Original-To: alspach
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id 50912D0A85; Fri, 16 Oct 2009 16:25:39 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Anna Kamont and Paul F. X. Mueller
Message-Id: <20091016212539.50912D0A85 at fourier.math.okstate.edu>
Date: Fri, 16 Oct 2009 16:25:39 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Rearrangements with supporting
trees, isomorphisms and combinatorics of coloured dyadic intervals"
by Anna Kamont and Paul F. X. Mueller.
Abstract: We determine a class of rearrangements that admit a supporting
tree. This condition implies that the associated rearrangement operator
has a bounded vector valued extension. We show that there exists a large
subspace of $L^p$ on which a bounded rearrangement operator acts as an
isomorphism. The combinatorial issues of these problems give rise to a
two-person game, to be played with colored dyadic intervals. We determine
winning strategies for each of the players.
Archive classification: math.FA
Mathematics Subject Classification: 46B25; 46E40; 91A05
The source file(s), buch.def: 1005 bytes isoplussept091.bbl: 5771 bytes
isoplussept091.tex: 98057 bytes math111.def: 7238 bytes, is(are) stored
in gzipped form as 0909.4926.tar.gz with size 32kb. The corresponding
postcript file has gzipped size 170kb.
Submitted from: pfxm at bayou.uni-linz.ac.at
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0909.4926
or
http://arXiv.org/abs/0909.4926
or by email in unzipped form by transmitting an empty message with
subject line
uget 0909.4926
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From alspach at fourier.math.okstate.edu Fri Oct 16 16:26:35 2009
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X-Original-To: alspach
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id 441C9D0A85; Fri, 16 Oct 2009 16:26:35 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Abdellatif Bourhim
Message-Id: <20091016212635.441C9D0A85 at fourier.math.okstate.edu>
Date: Fri, 16 Oct 2009 16:26:35 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Additive maps preserving the
reduced minimum modulus of Banach space operators" by Abdellatif
Bourhim.
Abstract: Let ${\mathcal B}(X)$ be the algebra of all bounded linear
operators on an infinite dimensional complex Banach space $X$. We prove
that an additive surjective map $\varphi$ on ${\mathcal B}(X)$ preserves
the reduced minimum modulus if and only if either there are bijective
isometries $U:X\to X$ and $V:X\to X$ both linear or both conjugate
linear such that $\varphi(T)=UTV$ for all $T\in{\mathcal B}(X)$, or $X$
is reflexive and there are bijective isometries $U:X^*\to X$ and $V:X\to
X^*$ both linear or both conjugate linear such that $\varphi(T)=UT^*V$ for
all $T\in{\mathcal B}(X)$. As immediate consequences of the ingredients
used in the proof of this result, we get the complete description of
surjective additive maps preserving the minimum, the surjectivity and
the maximum moduli of Banach space operators.
Archive classification: math.FA math.SP
Mathematics Subject Classification: Primary 47B49; Secondary 47B48,
46A05, 47A10
Remarks: The abstract of this paper was posted on May 2009 in the web
page of
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0910.0283
or
http://arXiv.org/abs/0910.0283
or by email in unzipped form by transmitting an empty message with
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uget 0910.0283
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From alspach at fourier.math.okstate.edu Fri Oct 16 16:28:24 2009
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X-Original-To: alspach
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id 9A826D0A85; Fri, 16 Oct 2009 16:28:24 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Imre Patyi
Message-Id: <20091016212824.9A826D0A85 at fourier.math.okstate.edu>
Date: Fri, 16 Oct 2009 16:28:24 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "On holomorphic domination, I"
by Imre Patyi.
Abstract: Let $X$ be a separable Banach space and $u{:}\,X\to\Bbb{R}$
locally upper bounded. We show that there are a Banach space $Z$
and a holomorphic function $h{:}\,X\to Z$ with $u(x)<\|h(x)\|$ for
$x\in X$. As a consequence we find that the sheaf cohomology group
$H^q(X,\Cal{O})$ vanishes if $X$ has the bounded approximation property
(i.e., $X$ is a direct summand of a Banach space with a Schauder basis),
$\Cal{O}$ is the sheaf of germs of holomorphic functions on $X$, and
$q\ge1$. As another consequence we prove that if $f$ is a $C^1$-smooth
$\overline\partial$-closed $(0,1)$-form on the space $X=L_1[0,1]$ of
summable functions, then there is a $C^1$-smooth function $u$ on $X$
with $\overline\partial u=f$ on $X$.
Archive classification: math.CV math.FA
Mathematics Subject Classification: 32U05; 32L10; 46G20
The source file(s), holodom-I-3.tex: 35922 bytes, is(are) stored in
gzipped form as 0910.0476.gz with size 12kb. The corresponding postcript
file has gzipped size 82kb.
Submitted from: i355p113 at speedpost.net
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0910.0476
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http://arXiv.org/abs/0910.0476
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From alspach at fourier.math.okstate.edu Fri Oct 16 16:30:14 2009
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X-Original-To: alspach
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id B8F39D0A85; Fri, 16 Oct 2009 16:30:14 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by R.D. Arthan
Message-Id: <20091016213014.B8F39D0A85 at fourier.math.okstate.edu>
Date: Fri, 16 Oct 2009 16:30:14 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Aronszajn's criterion for Euclidean
space" by R.D. Arthan.
Abstract: We give a simple proof of a characterization of euclidean space
due to Aronszajn and derive a well-known characterization due to Jordan &
von Neumann as a corollary.
Archive classification: math.GM math.FA
Mathematics Subject Classification: 46B20; 46C05
Remarks: 1 figure
The source file(s), 73.bbl: 714 bytes 73.tex: 17428 bytes 73a.eps:
11329 bytes, is(are) stored in gzipped form as 0910.0608.tar.gz with
size 9kb. The corresponding postcript file has gzipped size 30kb.
Submitted from: rda at lemma-one.com
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0910.0608
or
http://arXiv.org/abs/0910.0608
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From alspach at fourier.math.okstate.edu Fri Oct 16 16:31:11 2009
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id 0A882D0A85; Fri, 16 Oct 2009 16:31:10 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Wieslaw Kubis
Message-Id: <20091016213111.0A882D0A85 at fourier.math.okstate.edu>
Date: Fri, 16 Oct 2009 16:31:10 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Finitely fibered Rosenthal compacta
and trees" by Wieslaw Kubis.
Abstract: We study some topological properties of trees with the interval
topology. In particular, we characterize trees which admit a $2$-fibered
compactification and we present two examples of trees whose one-point
compactifications are Rosenthal compact with certain renorming properties
of their spaces of continuous functions.
Archive classification: math.GN math.FA
Mathematics Subject Classification: 54D30, 46B03, 46E15, 54C35, 54G12.
Remarks: 16 pages
The source file(s), small_noK_ver4a.tex: 58405 bytes, is(are) stored in
gzipped form as 0910.1360.gz with size 18kb. The corresponding postcript
file has gzipped size 110kb.
Submitted from: kubis at math.cas.cz
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0910.1360
or
http://arXiv.org/abs/0910.1360
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uget 0910.1360
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to: math at arXiv.org.
From alspach at fourier.math.okstate.edu Fri Oct 16 16:32:45 2009
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X-Original-To: alspach
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Received: by fourier.math.okstate.edu (Postfix, from userid 1005)
id 553E5D0A85; Fri, 16 Oct 2009 16:32:45 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Necip Simsek, Ekrem Savas, and Vatan Karakaya
Message-Id: <20091016213245.553E5D0A85 at fourier.math.okstate.edu>
Date: Fri, 16 Oct 2009 16:32:45 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Some geometric and topological
properties of a new sequence space defined by De la Vallee-Poussin mean"
by Necip Simsek, Ekrem Savas, and Vatan Karakaya.
Abstract: The main purpose of this paper is to introduce a new sequence
space by using de la Vallee-Poussin mean and investigate both the modular
structure with some geometric properties and some topological properties
with respect to the Luxemburg norm.
Archive classification: math.FA
Mathematics Subject Classification: 46A45, 46B20, 46B45 (Primary)
Remarks: 12 pages
The source file(s), POISON.tex: 37921 bytes, is(are) stored in gzipped
form as 0910.1947.gz with size 10kb. The corresponding postcript file
has gzipped size 88kb.
Submitted from: nsimsek at adiyaman.edu.tr
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0910.1947
or
http://arXiv.org/abs/0910.1947
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uget 0910.1947
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to: math at arXiv.org.
From alspach at fourier.math.okstate.edu Fri Oct 16 16:34:31 2009
Return-Path: <alspach at fourier.math.okstate.edu>
X-Original-To: alspach
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id AA130D0A85; Fri, 16 Oct 2009 16:34:31 -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: <20091016213431.AA130D0A85 at fourier.math.okstate.edu>
Date: Fri, 16 Oct 2009 16:34:31 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Towards a calculus for non-linear
spectral gaps [extended abstract]" by Manor Mendel and Assaf Naor.
Abstract: Given a finite regular graph G=(V,E) and a metric space
(X,d_X), let $gamma_+(G,X) denote the smallest constant $\gamma_+>0$
such that for all f,g:V\to X we have:
\frac{1}{|V|^2}\sum_{x,y\in V} d_X(f(x),g(y))^2\le \frac{\gamma_+}{|E|}
\sum_{xy\in E} d_X(f(x),g(y))^2.
In the special case X=R this quantity coincides with the reciprocal
of the
absolute spectral gap of $G$, but for other geometries the parameter
\gamma_+(G,X), which we still think of as measuring the non-linear
spectral gap of G with respect to X (even though there is no actual
spectrum present here), can behave very differently.
Non-linear spectral gaps arise often in the theory of metric embeddings, and
in the present paper we systematically study the theory of non-linear
spectral gaps, partially in order to obtain a combinatorial construction
of super-expander -- a family of bounded-degree graphs G_i=(V_i,E_i),
with \lim_{i\to \infty} |V_i|=\infty, which do not admit a coarse
embedding into any uniformly convex normed space. In addition, the
bi-Lipschitz distortion of G_i in any uniformly convex Banach space is
\Omega(\log |V_i|), which is the worst possible behavior due to Bourgain's
embedding theorem. Such remarkable graph families were previously known
to exist due to a tour de force algebraic construction of Lafforgue. Our
construction is different and combinatorial, relying on the zigzag
product of Reingold-Vadhan-Wigderson.
Archive classification: math.MG math.CO math.FA
Mathematics Subject Classification: 51F99, 05C12, 05C50, 46B85
Remarks: 32 pages. Extended abstract. To be published (in abridged form)
in the proceedings of the ACM-SIAM Symposium on Discrete Algorithms 2010
(SODA '10)
The source file(s), , is(are) stored in gzipped form as with size . The
corresponding postcript file has gzipped size .
Submitted from: mendelma at gmail.com
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0910.2041
or
http://arXiv.org/abs/0910.2041
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uget 0910.2041
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From alspach at fourier.math.okstate.edu Fri Oct 16 16:35:43 2009
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id 1D3DCD0A85; Fri, 16 Oct 2009 16:35:43 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by J. M. Almira
Message-Id: <20091016213543.1D3DCD0A85 at fourier.math.okstate.edu>
Date: Fri, 16 Oct 2009 16:35:43 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Characterization of approximation
schemes satisfying Shapiro's theorem" by J. M. Almira.
Abstract: In this paper we characterize the approximation schemes that
satisfy Shapiro's theorem and we use this result for several classical
approximation processes. In particular, we study approximation of
operators by finite rank operators and n-term approximation for several
dictionaries and norms. Moreover, we compare our main theorem with a
classical result by Yu. Brundyi and we show two examples of approximation
schemes that do not satisfy Shapiro's theorem.
Archive classification: math.CA math.FA
The source file(s), almira_shapiro_theorem.tex: 47247 bytes, is(are)
stored in gzipped form as 0910.2826.gz with size 14kb. The corresponding
postcript file has gzipped size .
Submitted from: jmalmira at ujaen.es
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0910.2826
or
http://arXiv.org/abs/0910.2826
or by email in unzipped form by transmitting an empty message with
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uget 0910.2826
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to: math at arXiv.org.
From alspach at fourier.math.okstate.edu Tue Oct 27 09:50:47 2009
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id 30DDFD0AB0; Tue, 27 Oct 2009 09:50:47 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Romain Tessera
Message-Id: <20091027145047.30DDFD0AB0 at fourier.math.okstate.edu>
Date: Tue, 27 Oct 2009 09:50:47 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "The inclusion of the Schur algebra
in B(l^2) is not inverse-closed" by Romain Tessera.
Abstract: The Schur algebra is the algebra of operators which are bounded
on l^1 and on l^{\infty}. Q. Sun conjectured that the Schur algebra is
inverse-closed. In this note, we disprove this conjecture. Precisely,
we exhibit an operator in the Schur algebra, invertible in l^2, whose
inverse is not bounded on l^1 nor on l^{\infty}.
Archive classification: math.FA math.MG
Mathematics Subject Classification: 47B38, 47B37
Remarks: 3 pages
The source file(s), Schuralgebra.tex: 6835 bytes, is(are) stored in
gzipped form as 0910.3285.gz with size 3kb. The corresponding postcript
file has gzipped size 44kb.
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/0910.3285
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From alspach at fourier.math.okstate.edu Tue Oct 27 10:00:34 2009
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id 8D930D0AB0; Tue, 27 Oct 2009 10:00:34 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Rui Liu
Message-Id: <20091027150034.8D930D0AB0 at fourier.math.okstate.edu>
Date: Tue, 27 Oct 2009 10:00:34 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "On shrinking and boundedly complete
schauder frames of Banach spaces" by Rui Liu.
Abstract: This paper studies Schauder frames in Banach spaces, a concept
which is a natural generalization of frames in Hilbert spaces and Schauder
bases in Banach spaces. The associated minimal and maximal spaces are
introduced, as are shrinking and boundedly complete Schauder frames. Our
main results extend the classical duality theorems on bases to the
situation of Schauder frames. In particular, we will generalize James'
results on shrinking and boundedly complete bases to frames. Secondly
we will extend his characterization of the reflexivity of spaces with
unconditional bases to spaces with unconditional frames.
Archive classification: math.FA
The source file(s), RuiLiu10.16.tex: 53807 bytes, is(are) stored in
gzipped form as 0910.3369.gz with size 15kb. The corresponding postcript
file has gzipped size 112kb.
Submitted from: leorui at mail.nankai.edu.cn
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0910.3369
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http://arXiv.org/abs/0910.3369
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From alspach at fourier.math.okstate.edu Tue Oct 27 10:01:24 2009
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id CF816D0AB0; Tue, 27 Oct 2009 10:01:24 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Guillaume Aubrun, Stanislaw Szarek, and Elisabeth Werner
Message-Id: <20091027150124.CF816D0AB0 at fourier.math.okstate.edu>
Date: Tue, 27 Oct 2009 10:01:24 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Non-additivity of Renyi entropy
and Dvoretzky's Theorem" by Guillaume Aubrun, Stanislaw Szarek, and
Elisabeth Werner.
Abstract: The goal of this note is to show that the analysis of the
minimum output p-Renyi entropy of a typical quantum channel essentially
amounts to applying Milman's version of Dvoretzky's Theorem about almost
Euclidean sections of high-dimensional convex bodies. This conceptually
simplifies the counterexample by Hayden-Winter to the additivity
conjecture for the minimal output p-Renyi entropy (for p>1).
Archive classification: quant-ph math.FA
Remarks: 7 pages
The source file(s), , is(are) stored in gzipped form as with size . The
corresponding postcript file has gzipped size .
Submitted from: szarek at cwru.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0910.1189
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http://arXiv.org/abs/0910.1189
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From alspach at fourier.math.okstate.edu Tue Oct 27 10:02:08 2009
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id F08F6D0AB0; Tue, 27 Oct 2009 10:02:07 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Jakub Onufry Wojtaszczyk
Message-Id: <20091027150207.F08F6D0AB0 at fourier.math.okstate.edu>
Date: Tue, 27 Oct 2009 10:02:07 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "No return to convexity" by Jakub
Onufry Wojtaszczyk.
Abstract: In the paper we study closures of classes of log--concave
measures under taking weak limits, linear transformations and tensor
products. We consider what uniform measures on convex bodies can one
obtain starting from some class $\mathcal{K}$. In particular we prove
that if one starts from one--dimensional log--concave measures, one
obtains no non--trivial uniform mesures on convex bodies.
The operations we consider are easily proved to preserve a number of
important properties, including a uniform bound on the isotropic constant
and $IC$ inequalities.
Archive classification: math.FA math.MG math.PR
Mathematics Subject Classification: 52A23
Remarks: 12 pages
The source file(s), , is(are) stored in gzipped form as with size . The
corresponding postcript file has gzipped size .
Submitted from: onufryw at gmail.com
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0910.3288
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http://arXiv.org/abs/0910.3288
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From alspach at fourier.math.okstate.edu Tue Oct 27 10:02:53 2009
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id 23283D0AB0; Tue, 27 Oct 2009 10:02:53 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by S. J. Dilworth, D. Freeman, E. Odell and Th. Schlumprecht
Message-Id: <20091027150253.23283D0AB0 at fourier.math.okstate.edu>
Date: Tue, 27 Oct 2009 10:02:53 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Greedy bases for Besov spaces"
by S. J. Dilworth, D. Freeman, E. Odell and Th. Schlumprecht.
Abstract: We prove thatthe Banach space $(\oplus_{n=1}^\infty
\ell_p^n)_{\ell_q}$, which is isomorphic to certain Besov spaces, has a
greedy basis whenever $1\leq p \leq\infty$ and $1<q<\infty$. Furthermore,
the Banach spaces $(\oplus_{n=1}^\infty \ell_p^n)_{\ell_1}$, with
$1<p\le \infty$, and $(\oplus_{n=1}^\infty \ell_p^n)_{c_0}$, with $1\le
p<\infty$ do not have a greedy bases. We prove as well that the space
$(\oplus_{n=1}^\infty \ell_p^n)_{\ell_q}$ has a 1-greedy basis if and
only if $1\leq p=q\le \infty$.
Archive classification: math.FA
Mathematics Subject Classification: 46B15, 41A65
The source file(s), dfos_greedy_101609.tex: 45739 bytes, is(are) stored in
gzipped form as 0910.3867.gz with size 14kb. The corresponding postcript
file has gzipped size 110kb.
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/0910.3867
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http://arXiv.org/abs/0910.3867
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From alspach at fourier.math.okstate.edu Tue Oct 27 10:03:46 2009
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id D63E6D0AB0; Tue, 27 Oct 2009 10:03:46 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Daniel Carando and Daniel Galicer
Message-Id: <20091027150346.D63E6D0AB0 at fourier.math.okstate.edu>
Date: Tue, 27 Oct 2009 10:03:46 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Extending polynomials in maximal
and minimal ideals" by Daniel Carando and Daniel Galicer.
Abstract: Given an homogeneous polynomial on a Banach space $E$ belonging
to some maximal or minimal polynomial ideal, we consider its iterated
extension to an ultrapower of $E$ and prove that this extension remains
in the ideal and has the same ideal norm. As a consequence, we show that
the Aron-Berner extension is a well defined isometry for any maximal
or minimal ideal of homogeneous polynomials. This allow us to obtain
symmetric versions of some basic results of the metric theory of tensor
products.
Archive classification: math.FA
Mathematics Subject Classification: 46G25; 46A32; 46B28; 47H60
Remarks: 10 pages
The source file(s), ExtendingCarandoGalicer.tex: 34351 bytes, is(are)
stored in gzipped form as 0910.3888.gz with size 11kb. The corresponding
postcript file has gzipped size 93kb.
Submitted from: dgalicer at dm.uba.ar
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0910.3888
or
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From alspach at fourier.math.okstate.edu Tue Oct 27 10:05:00 2009
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id C8652D0AB0; Tue, 27 Oct 2009 10:05:00 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Kevin Beanland and Frank Sanacory
Message-Id: <20091027150500.C8652D0AB0 at fourier.math.okstate.edu>
Date: Tue, 27 Oct 2009 10:05:00 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Spreading models in the duals of
Schlumprecht-type spaces" by Kevin Beanland and Frank Sanacory.
Abstract: We show that the dual of Schlumprecht's space $S^*$ and the
dual of Gowers and Maurey's HI space each contain a $c_0$ spreading
model and that for each $1 < p < \infty$ and $1/p+1/q=1$, the dual of
the $p$-convexification of Schlumprecht's space and the dual of its HI
counterpart, constructed by Neil Dew, each contain an $\ell_q$ spreading
model. The existence of a $c_0$ spreading model in $S^*$ solves a problem
of S. A. Argyros. We also give a general criteria for the existence of
a bounded non-compact operator and use this to show that there exist
strictly singular non-compact operators on each of these spaces.
Archive classification: math.FA
Mathematics Subject Classification: 46B28
Remarks: 14 pages
The source file(s), CoinSstarfinal.bbl: 3840 bytes
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0910.4400
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From alspach at fourier.math.okstate.edu Tue Oct 27 10:05:39 2009
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id 63941D0AB0; Tue, 27 Oct 2009 10:05:39 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Spiros A. Argyros, Kevin Beanland, and Theocharis Raikoftsalis
Message-Id: <20091027150539.63941D0AB0 at fourier.math.okstate.edu>
Date: Tue, 27 Oct 2009 10:05:39 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "A weak Hilbert space with
few symmetries" by Spiros A. Argyros, Kevin Beanland, and Theocharis
Raikoftsalis.
Abstract: We construct a weak Hilbert Banach space such that for every
block subspace $Y$ every bounded linear operator on Y is of the form D+S
where S is a strictly singular operator and D is a diagonal operator. We
show that this yields a weak Hilbert space whose block subspaces are
not isomorphic to any of their proper subspaces.
Archive classification: math.FA
Remarks: 32 pages
The source file(s), WeakHilbert.tex: 88673 bytes, is(are) stored in
gzipped form as 0910.4401.gz with size 26kb. The corresponding postcript
file has gzipped size 157kb.
Submitted from: kbeanland at gmail.com
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0910.4401
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From alspach at fourier.math.okstate.edu Tue Oct 27 10:06:13 2009
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id 88B22D0AB0; Tue, 27 Oct 2009 10:06:13 -0500 (CDT)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by T. Bosenko and V. Kadets
Message-Id: <20091027150613.88B22D0AB0 at fourier.math.okstate.edu>
Date: Tue, 27 Oct 2009 10:06:13 -0500 (CDT)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Daugavet centers" by T. Bosenko
and V. Kadets.
Abstract: An operator $G {:}\allowbreak\ X \to Y$ is said to be a
Daugavet center if $\|G + T\| = \|G\| + \|T\|$ for every rank-$1$
operator $T {:}\allowbreak\ X \to Y$. The main result of the paper is: if
$G {:}\allowbreak\ X \to Y$ is a Daugavet center, $Y$ is a subspace of a
Banach space \, $E$, and $J: Y \to E$ is the natural embedding operator,
then $E$ can be equivalently renormed in such a way, that $J \circ G :
X \to E$ is also a Daugavet center. This result was previously known for
particular case $X=Y$, $G=\mathrm{Id}$ and only in separable spaces. The
proof of our generalization is based on an idea completely different
from the original one. We give also some geometric characterizations of
Daugavet centers, present a number of examples, and generalize (mostly in
straightforward manner) to Daugavet centers some results known previously
for spaces with the Daugavet property.
Archive classification: math.FA
Mathematics Subject Classification: 46B04; 46B03, 46B25, 47B38
The source file(s), bosenko-kadets-Daugavet-centers.tex: 50780 bytes,
is(are) stored in gzipped form as 0910.4503.gz with size 14kb. The
corresponding postcript file has gzipped size 109kb.
Submitted from: t.bosenko at mail.ru
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0910.4503
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From banach-bounces at math.okstate.edu Thu Nov 12 12:36:50 2009
Return-Path: <banach-bounces at math.okstate.edu>
Message-ID: <4AFC4F5C.7000208 at math.kent.edu>
Date: Thu, 12 Nov 2009 13:09:32 -0500
From: Artem Zvavitch <zvavitch at math.kent.edu>
To: banach at math.okstate.edu
Dear Friends,
On Saturday - Sunday, March 20-21, 2010, (best arrival date March 19/
Departure March 22) the Department of Mathematical Sciences at Kent
State University will be famous but still very informal. We are happy to
announce an:
INFORMAL ANALYSIS SEMINAR DEDICATED TO THE WORK OF JOE DIESTEL
It would be great if you could visit Kent State and participate in the
seminar! May we ask you to respond as soon as possible
(zvavitch at math.kent.edu), so that we can gauge the need for housing,
lecture room(s), etc. We hope to be sending out information regarding
tiles/abstracts/housing by the middle of December 2009.
Best Regards,
Analysis group at Kent State!
_______________________________________________
Banach mailing list
Banach at math.okstate.edu
https://mail.math.okstate.edu/mailman/listinfo/banach
From alspach at fourier.math.okstate.edu Thu Nov 12 12:58:30 2009
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id 6275DD0AC5; Thu, 12 Nov 2009 12:58:30 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Joris Bierkens and Onno van Gaans
Message-Id: <20091112185830.6275DD0AC5 at fourier.math.okstate.edu>
Date: Thu, 12 Nov 2009 12:58:30 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Stochastic integration in Banach
spaces using a product structure with partial order" by Joris Bierkens
and Onno van Gaans.
Abstract: Using a multiplicative structure (for example that of a Banach
algebra) and a partial order we construct a weak version of a Banach space
valued stochastic integral with respect to square integrable martingales.
Archive classification: math.PR math.FA
Mathematics Subject Classification: 60H05
The source file(s), reportdec06.tex: 91221 bytes, is(are) stored in
gzipped form as 0910.5363.gz with size 21kb. The corresponding postcript
file has gzipped size 154kb.
Submitted from: j.bierkens at cwi.nl
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0910.5363
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http://arXiv.org/abs/0910.5363
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From alspach at fourier.math.okstate.edu Thu Nov 12 13:00:28 2009
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id 97DB1D0AC5; Thu, 12 Nov 2009 13:00:28 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Paul F.X. Mueller
Message-Id: <20091112190028.97DB1D0AC5 at fourier.math.okstate.edu>
Date: Thu, 12 Nov 2009 13:00:28 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Two remarks on primary spaces"
by Paul F.X. Mueller.
Abstract: We prove that for any operator $T$ on $ \ell^\infty( H^1 (\bT))
,$ the identity factores through $ T $ or $ \Id - T .$
We re-prove analogous results of H.M. Wark for the spaces
$ \ell^\infty(H^p(\bT) ), $ $1<p <\infty .$ In the present paper direct
combinatorics of colored dyadic intervals replaces the dependence on
Szemeredi's theorem in the work of H. M. Wark. \\
Archive classification: math.FA
Mathematics Subject Classification: 46B25, 46E40
The source file(s), buch.def: 1005 bytes math111.def: 7238 bytes
primary.bbl: 2310 bytes primary.tex: 40643 bytes, is(are) stored in
gzipped form as 0911.0074.tar.gz with size 16kb. The corresponding
postcript file has gzipped size 107kb.
Submitted from: pfxm at bayou.uni-linz.ac.at
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0911.0074
or
http://arXiv.org/abs/0911.0074
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From alspach at fourier.math.okstate.edu Thu Nov 12 13:02:53 2009
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id 8DC97D0AC5; Thu, 12 Nov 2009 13:02:53 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Roland Speicher
Message-Id: <20091112190253.8DC97D0AC5 at fourier.math.okstate.edu>
Date: Thu, 12 Nov 2009 13:02:53 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Free probability theory" by
Roland Speicher.
Abstract: Free probability theory was created by Dan Voiculescu around
1985, motivated by his efforts to understand special classes of von
Neumann algebras. His discovery in 1991 that also random matrices
satisfy asymptotically the freeness relation transformed the theory
dramatically. Not only did this yield spectacular results about the
structure of operator algebras, but it also brought new concepts and
tools into the realm of random matrix theory. In the following we will
give, mostly from the random matrix point of view, a survey on some of
the basic ideas and results of free probability theory.
Archive classification: math.PR math.OA
Remarks: 21 pages; my contribution for the Handbook on Random Matrix
Theory, to be published by Oxford University Press
The source file(s), RMT-chapter22.tex: 56575 bytes wignerpluswishart.ps:
11793 bytes wisharttimeswishart.ps: 10691 bytes, is(are) stored in
gzipped form as 0911.0087.tar.gz with size 23kb. The corresponding
postcript file has gzipped size 119kb.
Submitted from: speicher at mast.queensu.ca
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0911.0087
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http://arXiv.org/abs/0911.0087
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From alspach at fourier.math.okstate.edu Thu Nov 12 13:05:03 2009
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id CC3E9D0AC5; Thu, 12 Nov 2009 13:05:03 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by A. J. Scott and M. Grassl
Message-Id: <20091112190503.CC3E9D0AC5 at fourier.math.okstate.edu>
Date: Thu, 12 Nov 2009 13:05:03 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "SIC-POVMs: A new computer study"
by A. J. Scott and M. Grassl.
Abstract: We report on a new computer study into the existence of
d^2 equiangular lines in d complex dimensions. Such maximal complex
projective codes are conjectured to exist in all finite dimensions and are
the underlying mathematical objects defining symmetric informationally
complete measurements in quantum theory. We provide numerical solutions
in all dimensions d <= 67 and, moreover, a putatively complete list of
Weyl-Heisenberg covariant solutions for d <= 50. A symmetry analysis
of this list leads to new algebraic solutions in dimensions d = 24,
35 and 48, which are given together with algebraic solutions for d =
4,..., 15 and 19.
Archive classification: quant-ph math.CO math.FA
Remarks: 20 pages + 189 pages of raw data (also accessible in the
source in
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0910.5784
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http://arXiv.org/abs/0910.5784
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From alspach at fourier.math.okstate.edu Thu Nov 12 13:06:45 2009
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id C702AD0AC5; Thu, 12 Nov 2009 13:06:45 -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: <20091112190645.C702AD0AC5 at fourier.math.okstate.edu>
Date: Thu, 12 Nov 2009 13:06:45 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Approximating the moments of
marginals of high dimensional distributions" by Roman Vershynin.
Abstract: For probability distributions on R^n, we study the optimal
sample size N=N(n,p) that suffices to uniformly approximate the p-th
moments of all one-dimensional marginals. Under the assumption that the
support of the distribution lies in the Euclidean ball of radius \sqrt{n}
and the marginals have bounded 4p moments, we obtain the optimal bound
N = O(n^{p/2}) for p > 2. This bound goes in the direction of bridging
the two recent results: a theorem of Guedon and Rudelson which has an
extra logarithmic factor in the sample size, and a recent result of
Adamczak, Litvak, Pajor and Tomczak-Jaegermann which requires stronger
subexponential moment assumptions.
Archive classification: math.PR math.FA
Mathematics Subject Classification: 46B09; 52A21; 62J10
Remarks: 12 pages
The source file(s), moments-of-marginals.tex: 32410 bytes, is(are)
stored in gzipped form as 0911.0391.gz with size 11kb. The corresponding
postcript file has gzipped size 92kb.
Submitted from: romanv at umich.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0911.0391
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From alspach at fourier.math.okstate.edu Thu Nov 12 13:09:22 2009
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id C1537D0AC5; Thu, 12 Nov 2009 13:09:22 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Elisabeth M. Werner and Deping Ye
Message-Id: <20091112190922.C1537D0AC5 at fourier.math.okstate.edu>
Date: Thu, 12 Nov 2009 13:09:22 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "On the Homothety Conjecture"
by Elisabeth M. Werner and Deping Ye.
Abstract: Let $K$ be a convex body in $\bbR^n$ and $\d>0$. The homothety
conjecture asks: Does $K_{\d}=c K$ imply that $K$ is an ellipsoid? Here
$K_{\d}$ is the (convex) floating body and $c$ is a constant depending
on $\d$ only. In this paper we prove that the homothety conjecture holds
true in the class of the convex bodies $B^n_p$, $1\leq p\leq \infty$, the
unit balls of $l_p^n$; namely, we show that $(B^n_p)_{\d} = c B^n_p$ if
and only if $p=2$. We also show that the homothety conjecture is true for
a general convex body $K$ if $\d$ is small enough. This improvs earlier
results by Sch\"utt and Werner \cite{SW1994} and Stancu \cite{Stancu2009}.
Archive classification: math.MG math.FA
Mathematics Subject Classification: 52A20, 53A15
Remarks: 24 pages, 2 figures
The source file(s), floating-2.jpg: 38222 bytes
floating.jpg: 27480 bytes
homothety102609.tex: 58622 bytes, is(are) stored in gzipped
form as 0911.0642.tar.gz with size 68kb.
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0911.0642
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From alspach at fourier.math.okstate.edu Thu Nov 12 13:11:05 2009
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id 0D8D7D0AC5; Thu, 12 Nov 2009 13:11:04 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Daniel A. Spielman and Nikhil Srivastava
Message-Id: <20091112191105.0D8D7D0AC5 at fourier.math.okstate.edu>
Date: Thu, 12 Nov 2009 13:11:04 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "An elementary proof of the
Restricted Invertibility Theorem" by Daniel A. Spielman and Nikhil
Srivastava.
Abstract: We give an elementary proof of a generalization of Bourgain
and Tzafriri's Restricted Invertibility Theorem, which says roughly that
any matrix with columns of unit length and bounded operator norm has a
large coordinate subspace on which it is well-invertible. Our proof gives
the tightest known form of this result, is constructive, and provides a
deterministic polynomial time algorithm for finding the desired subspace.
Archive classification: math.FA
The source file(s), restrict.tex: 13698 bytes, is(are) stored in gzipped
form as 0911.1114.gz with size 5kb. The corresponding postcript file
has gzipped size 58kb.
Submitted from: nikhil.srivastava at yale.edu
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http://front.math.ucdavis.edu/0911.1114
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From banach-bounces at math.okstate.edu Thu Dec 17 09:53:15 2009
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From: Elisabeth Werner <elisabeth.werner at case.edu>
To: banach at math.okstate.edu
Message-ID: <f003e19e9e160.9e160f003e19e at cwru.edu>
Date: Thu, 17 Dec 2009 10:35:47 -0500
CONFERENCE ON "PERSPECTIVES IN HIGH DIMENSIONS," CLEVELAND, AUGUST 1-7, 2010
This is an announcement of the conference on "Perspectives in High Dimensions," to be held
on the campus of Case Western Reserve University in Cleveland, Ohio, U.S.A. from August 1
until August 7, 2010.
The aim of the conference is to reflect on recent and future developments in broadly
understood geometric functional analysis, with emphasis on interactions with other subfields
of mathematics and with other mathematical sciences, including but not limited to computer
science, mathematical physics and statistics. The scientific program will be set up under the
guidance of the Scientific Committee consisting of
Jean Bourgain
Emmanuel Candes
Persi Diaconis
Boaz Klartag
Stanislaw Szarek
Santosh Vempala
Roman Vershynin
Elisabeth Werner
The conference will be supported by the NSF via Focused Research Grant, which involves
CWRU, Kent State University, University of Michigan and University of Missouri. We expect to
be able to provide support to a substantial number of participants, with priority given to
graduate students, junior researchers and to those lacking their own research funding, as
well as to members of underrepresented groups.
More details will be provided in the coming months. Should you have any questions, please
contact one of the organizers (below), or check the temporary conference website at
http://www.case.edu/artsci/math/perspectivesInHighDimensions/
Alexander Koldobsky (koldobskiya at missouri.edu)
Mark Rudelson (rudelsonm at missouri.edu)
Dmitry Ryabogin (ryabogin at math.kent.edu)
Stanislaw Szarek (szarek at cwru.edu)
Roman Vershynin (romanv at umich.edu)
Elisabeth Werner (elisabeth.werner at case.edu)
Artem Zvavitch (zvavitch at math.kent.edu)
Local committee:
Elizabeth Meckes (ese3 at cwru.edu)
Mark Meckes (mark.meckes at case.edu)
Dmitry Ryabogin (ryabogin at math.kent.edu)
Stanislaw Szarek (szarek at cwru.edu)
Elisabeth Werner (elisabeth.werner at case.edu)
Artem Zvavitch (zvavitch at math.kent.edu)
_______________________________________________
Banach mailing list
Banach at cauchy.math.okstate.edu
http://cauchy.math.okstate.edu/cgi-bin/mailman/listinfo/banach
From alspach at fourier.math.okstate.edu Fri Dec 18 16:51:22 2009
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id A4074D067C; Fri, 18 Dec 2009 16:51:22 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Rafa Espinola and Aurora Fernandez-Leon
Message-Id: <20091218225122.A4074D067C at fourier.math.okstate.edu>
Date: Fri, 18 Dec 2009 16:51:22 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "On best proximity points in metric
and Banach spaces" by Rafa Espinola and Aurora Fernandez-Leon.
Abstract: In this paper we study the existence and uniqueness of best
proximity points of cyclic contractions as well as the convergence of
iterates to such proximity points. We do it from two different approaches,
leading each one of them to different results which complete, if not
improve, other similar results in the theory. Results in this paper
stand for Banach spaces, geodesic metric spaces and metric spaces. We
also include an appendix on CAT(0) spaces where we study the particular
behavior of these spaces regarding the problems we are concerned with.
Archive classification: math.FA math.MG
Mathematics Subject Classification: 54H25, 47H09
Remarks: 17 pages. Accepted for publication in the Canadian Mathematical
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0911.5263
or
http://arXiv.org/abs/0911.5263
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From alspach at fourier.math.okstate.edu Fri Dec 18 16:52:08 2009
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id 589CAD067C; Fri, 18 Dec 2009 16:52:08 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by W. Lawton
Message-Id: <20091218225208.589CAD067C at fourier.math.okstate.edu>
Date: Fri, 18 Dec 2009 16:52:08 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Minimal sequences and the
Kadison-Singer problem" by W. Lawton.
Abstract: The Kadison-Singer problem asks: does every pure state on
the C$^*$-algebra $\ell^{\infty}(Z)$ admit a unique extension to the
C$^*$-algebra $\cB(\ell^2(Z))$? A yes answer is equivalent to several
open conjectures including Feichtinger's: every bounded frame is a finite
union of Riesz sequences. We prove that for measurable $S \subset \TT,$
$\{ \chi_{_S} \, e^{2\pi i k t} \}_{_{k\in \ZZ}}$ is a finite union of
Riesz sequences in $L^2(\TT)$ if and only if there exists a nonempty
$\Lambda \subset \ZZ$ such that $\chi_{_\Lambda}$ is a minimal sequence
and $\{ \chi_{_S} \, e^{2\pi i k t} \}_{_{k \in \Lambda}}$ is a Riesz
sequence. We also suggest some directions for future research.
Archive classification: math.FA math.DS
Mathematics Subject Classification: 37B10, 42A55, 46L05
Remarks: 10 pages, Theorem 1.1 was announced during conferences in St.
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0911.5559
or
http://arXiv.org/abs/0911.5559
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From alspach at fourier.math.okstate.edu Fri Dec 18 16:53:45 2009
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id DEA8CD067C; Fri, 18 Dec 2009 16:53:45 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Alon Ivtsan
Message-Id: <20091218225345.DEA8CD067C at fourier.math.okstate.edu>
Date: Fri, 18 Dec 2009 16:53:45 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Stafney's lemma holds for several
"classical" interpolation methods" by Alon Ivtsan.
Abstract: Let (B_0,B_1) be a Banach pair. Stafney showed that in the
definition of the norm in the Calderon complex interpolation method on the
strip, one can replace the space F(B_0,B_1) with its subspace G(B_0,B_1)
if the element belongs to the intersection of B_0 and B_1. We extend
this result to a more general setting, which contains several well-known
interpolation methods, namely the Calderon complex interpolation method
on the annulus, an appropriate version of the Lions-Peetre real method,
and the Peetre "plus minus" method.
Archive classification: math.FA
Mathematics Subject Classification: 46B70 (primary); 46B45 (secondary)
Remarks: 7 pages
The source file(s), stafney30-t.tex: 35607 bytes, is(are) stored in
gzipped form as 0911.5719.gz with size 9kb. The corresponding postcript
file has gzipped size 84kb.
Submitted from: aloniv at tx.technion.ac.il
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0911.5719
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From alspach at fourier.math.okstate.edu Fri Dec 18 16:54:36 2009
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id 0F65CD067C; Fri, 18 Dec 2009 16:54:35 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Ilijas Farah and Saharon Shelah
Message-Id: <20091218225436.0F65CD067C at fourier.math.okstate.edu>
Date: Fri, 18 Dec 2009 16:54:35 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "A dichotomy for the number of
ultrapowers" by Ilijas Farah and Saharon Shelah.
Abstract: We prove a strong dichotomy for the number of ultrapowers of
a given countable model associated with nonprincipal ultrafilters on
N. They are either all isomorphic, or else there are $2^{2^{\aleph_0}}$
many nonisomorphic ultrapowers. We prove the analogous result for metric
structures, including C*-algebras and II$_1$ factors, as well as their
relative commutants and include several applications. We also show that
the C*-algebra B(H) always has nonisomorphic relative commutants in its
ultrapowers associated with nonprincipal ultrafilters on N.
Archive classification: math.LO math.OA
Mathematics Subject Classification: 03C20, 46M07
Report Number: Shelah [FaSh:954]
The source file(s), 2009i19-ultrapowers.tex: 122804 bytes, is(are)
stored in gzipped form as 0912.0406.gz with size 33kb. The corresponding
postcript file has gzipped size 176kb.
Submitted from: ifarah at yorku.ca
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0912.0406
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http://arXiv.org/abs/0912.0406
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From alspach at fourier.math.okstate.edu Fri Dec 18 16:55:37 2009
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id 95637D067C; Fri, 18 Dec 2009 16:55:37 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Longyun Ding
Message-Id: <20091218225537.95637D067C at fourier.math.okstate.edu>
Date: Fri, 18 Dec 2009 16:55:37 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Borel reducibility and
Holder($\alpha$) embeddability between Banach spaces" by Longyun Ding.
Abstract: We investigate Borel reducibility between equivalence
relations $E(X,p)=X^{\Bbb N}/\ell_p(X)$'s where $X$ is a separable
Banach space. We show that this reducibility is related to the so called
H\"older$(\alpha)$ embeddability between Banach spaces. By using the
notions of type and cotype of Banach spaces, we present many results on
reducibility and unreducibility between $E(L_r,p)$'s and $E(c_0,p)$'s
for $r,p\in[1,+\infty)$. We also answer a problem presented by Kanovei
in the affirmative by showing that $C({\Bbb R}^+)/C_0({\Bbb R}^+)$
is Borel bireducible to ${\Bbb R}^{\Bbb N}/c_0$.
Archive classification: math.LO math.FA
Mathematics Subject Classification: 03E15, 46B20, 47H99
Remarks: 29 pages
The source file(s), Banach.tex: 57984 bytes, is(are) stored in gzipped
form as 0912.1912.gz with size 16kb. The corresponding postcript file
has gzipped size 128kb.
Submitted from: dingly at nankai.edu.cn
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0912.1912
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From alspach at fourier.math.okstate.edu Fri Dec 18 16:57:07 2009
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id D1DC5D067C; Fri, 18 Dec 2009 16:57:07 -0600 (CST)
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-Piazza
Message-Id: <20091218225707.D1DC5D067C at fourier.math.okstate.edu>
Date: Fri, 18 Dec 2009 16:57:07 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "Some translation-invariant Banach
function spaces which contain $c_0$" by Pascal Lefevre, Daniel Li,
Herve Queffelec, and Luis Rodriguez-Piazza.
Abstract: We produce several situations where some natural subspaces
of classical Banach spaces of functions over a compact abelian group
contain the space $c_0$.
Archive classification: math.FA
Mathematics Subject Classification: MSC: Primary: 43A46, 46B20; Secondary:
42A55, 42B35, 43A07, 46E30
Citation: Studia Mathematica 163, 2 (2004) 137 - 155
The source file(s), LLQR3D.TEX: 56689 bytes, is(are) stored in gzipped
form as 0912.3133.gz with size 18kb. The corresponding postcript file
has gzipped size 109kb.
Submitted from: daniel.li at euler.univ-artois.fr
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0912.3133
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http://arXiv.org/abs/0912.3133
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From alspach at fourier.math.okstate.edu Fri Dec 18 16:58:17 2009
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id 134CCD067C; Fri, 18 Dec 2009 16:58:17 -0600 (CST)
To: alspach at fourier.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Mikko Kemppainen
Message-Id: <20091218225817.134CCD067C at fourier.math.okstate.edu>
Date: Fri, 18 Dec 2009 16:58:17 -0600 (CST)
From: alspach at fourier.math.okstate.edu (Dale Alspach)
Status: R
This is an announcement for the paper "On the Rademacher maximal function"
by Mikko Kemppainen.
Abstract: This paper studies a new maximal operator introduced by
Hyt\"onen, McIntosh and Portal in 2008 for functions taking values in
a Banach space. The L^p-boundedness of this operator depends on the
range space; certain requirements on type and cotype are present for
instance. The original Euclidean definition of the maximal function
is generalized to sigma-finite measure spaces with filtrations and the
L^p-boundedness is shown not to depend on the underlying measure space or
the filtration. Martingale techniques are applied to prove that a weak
type inequality is sufficient for L^p-boundedness and also to provide
a characterization by concave functions.
Archive classification: math.FA
Mathematics Subject Classification: 46E40 (Primary); 42B25 (Secondary)
Remarks: 22 pages, 4 figures
The source file(s), RMF.bbl: 4575 bytes RMF.tex: 148459 bytes
averages.pdf: 1054 bytes filtrations.pdf: 1394 bytes mart11.pdf:
1111 bytes mart33.pdf: 1082 bytes, is(are) stored in gzipped form as
0912.3358.tar.gz with size 39kb. The corresponding postcript file has
gzipped size .
Submitted from: mikko.k.kemppainen at helsinki.fi
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http://front.math.ucdavis.edu/0912.3358
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http://arXiv.org/abs/0912.3358
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