Messages from 2004
These are the messages distributed to the Banach list during 2004.
From alspach Mon Feb 2 13:52:05 2004
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Mon, 2 Feb 2004 13:52:05 -0600
Date: Mon, 2 Feb 2004 13:52:05 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200402021952.i12Jq5e28824 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by B. Klartag
Status: R
This is an announcement for the paper "An isomorphic version of the
slicing problem" by B. Klartag.
Abstract: Here we show that any n-dimensional centrally symmetric convex
body K has an n-dimensional perturbation T which is convex and centrally
symmetric, such that the isotropic constant of T is universally bounded. T
is close to K in the sense that the Banach-Mazur distance between T
and K is O(log n). If K has a non-trivial type then the distance is
universally bounded. In addition, if K is quasi-convex then there exists
a quasi-convex T with a universally bounded isotropic constant and with
a universally bounded distance to K.
Archive classification: Metric Geometry; Functional Analysis
Remarks: 19 pages
The source file(s), mixed_MM_star.tex: 44341 bytes, is(are) stored in
gzipped form as 0312475.gz with size 13kb. The corresponding postcript
file has gzipped size 72kb.
Submitted from: klartagb at post.tau.ac.il
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.MG/0312475
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From alspach Mon Feb 2 13:54:21 2004
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Mon, 2 Feb 2004 13:54:21 -0600
Date: Mon, 2 Feb 2004 13:54:21 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200402021954.i12JsL828914 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Omran Kouba
Status: R
This is an announcement for the paper "$H^1$-projective Banach spaces"
by Omran Kouba.
Abstract: We study the $H^1$-projective Banach spaces. We prove that
they have the Analytic Radon-Nikodym Property, and that they are cotype
2 spaces which satisfy Grothendieck's Theorem. We show also that the
ultraproduct of $H^1$-projective spaces is $H^1$-projective. Other
results are also discussed.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46M05;46M10;46B08
Citation: Quart. J. Math. Oxford (2), 41(1990), 295-312
Remarks: 17 pages
The source file(s), ART2.Tex: 65188 bytes, is(are) stored in gzipped
form as 0401336.gz with size 21kb. The corresponding postcript file has
gzipped size 83kb.
Submitted from: omran_kouba at hiast.edu.sy
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0401336
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http://arXiv.org/abs/math.FA/0401336
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From alspach Mon Feb 2 13:55:52 2004
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Mon, 2 Feb 2004 13:55:52 -0600
Date: Mon, 2 Feb 2004 13:55:52 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200402021955.i12JtqE28981 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Omran Kouba
Status: R
This is an announcement for the paper "L'Application canonique $J:H^2(X)
\otimes H^2(X)->H^1(X\otimes X)$ n'est pas surjective en g\'en\'eral"
by Omran Kouba.
Abstract: We introduce the $H^1$-projective property, and use it to
construct a Banach space $X$ such that the natural map
$J:H^2(X)\otimes H^2(X) -> H^1(X\otimes X)$ is not onto.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46M05;47A56;47A68
Citation: C.R. Acad. Sci. Paris t.307, Serie I, (1988), 949-953
Remarks: 9 pages, French with abridged english version
The source file(s), ART1.Tex: 27483 bytes, is(are) stored in gzipped
form as 0401335.gz with size 9kb. The corresponding postcript file has
gzipped size 45kb.
Submitted from: omran_kouba at hiast.edu.sy
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0401335
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From alspach Mon Feb 2 13:57:02 2004
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Mon, 2 Feb 2004 13:57:02 -0600
Date: Mon, 2 Feb 2004 13:57:02 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200402021957.i12Jv2Y29031 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Omran Kouba
Status: R
This is an announcement for the paper "On the interpolation of injective
or projective tensor products of Banach spaces" by Omran Kouba.
Abstract: We prove a general result on the factorization of matrix-valued
analytic functions. We deduce that if $(E_0,E_1)$ and $(F_0,F_1)$ are
interpolation pairs with dense intersections, then under some conditions
on the spaces $E_0$, $E_1$, $F_0$ and $F_1$, we have $$ [E_0\hat\otimes
F_0,E_1\hat\otimes F_1]_t= [E_0 ,E_1]_t\hat\otimes[F_0 ,F_1]_t, 0 <
t< 1.$$
We find also conditions on the spaces $E_0$, $E_1$, $F_0$ and $F_1$,
so that
the following holds $$ [E_0\wcheck\otimes F_0,E_1\wcheck\otimes F_1]_t=
[E_0,E_1]_t\wcheck\otimes [F_0,F_1]_t, 0 <t< 1.$$
Some applications of these results are also considered.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B70;47A56;47A68;46M05;46B07
Citation: J. Funct. Anal. 96 (1991), 38-61
Remarks: 26 pages
The source file(s), ART3.Tex: 75244 bytes, is(are) stored in gzipped
form as 0401337.gz with size 22kb. The corresponding postcript file has
gzipped size 93kb.
Submitted from: omran_kouba at hiast.edu.sy
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0401337
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http://arXiv.org/abs/math.FA/0401337
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From alspach Mon Feb 2 14:00:37 2004
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Mon, 2 Feb 2004 14:00:37 -0600
Date: Mon, 2 Feb 2004 14:00:37 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200402022000.i12K0bQ29110 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by E.Ournycheva and B.Rubin
Status: R
This is an announcement for the paper "An analogue of the Fuglede formula
in integral geometry on matrix spaces" by E.Ournycheva and B.Rubin.
Abstract: The well known formula of B. Fuglede expresses the mean value
of the Radon k-plane transform on $R^n$ as a Riesz potential. We extend
this formula to the space of $n \times m$ real matrices and show that
the corresponding matrix k-plane transform $f \to \hat f$ is injective
if and only if
$n-k \ge m$. Different inversion formulas for this transform are
obtained. We
assume that $f \in L^p$ or $f$ is a continuous function satisfying certain
"minimal" conditions at infinity.
Archive classification: Functional Analysis
Mathematics Subject Classification: Primary 44A12; Secondary 47G10
Remarks: AMS LaTeX, 20 pages
The source file(s), Fug8.tex: 50342 bytes, is(are) stored in gzipped
form as 0401127.gz with size 18kb. The corresponding postcript file has
gzipped size 82kb.
Submitted from: ournyce at math.huji.ac.il
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0401127
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From alspach Wed Feb 11 09:41:01 2004
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Wed, 11 Feb 2004 09:41:01 -0600
Date: Wed, 11 Feb 2004 09:41:01 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200402111541.i1BFf1w04404 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Joram Lindenstrauss and David Preiss
Status: R
This is an announcement for the paper "On Fr\'echet differentiability
of Lipschitz maps between Banach spaces" by Joram Lindenstrauss and
David Preiss.
Abstract: A well-known open question is whether every countable collection
of Lipschitz functions on a Banach space X with separable dual has a
common point of Frechet differentiability. We show that the answer is
positive for some infinite-dimensional X. Previously, even for collections
consisting of two functions this has been known for finite-dimensional X
only (although for one function the answer is known to be affirmative
in full generality). Our aims are achieved by introducing a new
class of null sets in Banach spaces (called $\Gamma$-null sets),
whose definition involves both the notions of category and measure,
and showing that the required differentiability holds almost everywhere
with respect to it. We even obtain existence of Fr\'echet derivatives
of Lipschitz functions between certain infinite-dimensional Banach
spaces;no such results have been known previously. Our main result
states that a Lipschitz map between separable Banach spaces is Fr\'echet
differentiable $\Gamma$-almost everywhere provided that it is regularly
Gateaux differentiable $\Gamma$-almost everywhere and the Gateaux
derivatives stay within a norm separable space of operators. It is
easy to see that Lipschitz maps of X to spaces with the Radon-Nikodym
property are Gateaux differentiable $\Gamma$-almost everywhere. Moreover,
Gateaux differentiability implies regular Gateaux differentiability with
exception of another kind of negligible sets, so-called $\sigma$-porous
sets. The answer to the question is therefore positive in every space
in which every $\sigma$-porous set is $\Gamma$-null. We show that this
holds for $C(K)$ with $K$ countable compact, the Tsirelson space and
for all subspaces of $c_0$, but that it fails for Hilbert spaces.
Archive classification: Functional Analysis
Citation: Ann. of Math. (2), Vol. 157 (2003), no. 1, 257--288
Remarks: 32 pages, published version
The source file(s), amlts.sty: 33990 bytes, lindenstrauss.tex: 89631
bytes, is(are) stored in gzipped form as 0402160.tar.gz with size
36kb. The corresponding postcript file has gzipped size 100kb.
Submitted from: dp at math.ucl.ac.uk
The paper may be downloaded from the archive by web browser from URL
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From alspach
Date: Wed, 11 Feb 2004 11:43:20 -0600
From: Dale Alspach <alspach at math.okstate.edu>
To: banach at mail.math.okstate.edu
cc: hojtylli at cc.helsinki.fi
Subject: [Banach] Functional Analysis Workshop in Finland
FUNCTIONAL ANALYSIS WORKSHOP
JOENSUU, FINLAND
June 20.-24., 2004
The workshop is a satellite conference of the 4th European Congress of Mathemat
ics
(4ecm) in Stockholm. The topics of this workshop include Banach spaces and oper
ator
theory, Frechet and related spaces, and applications to analytic function space
s.
There will be 13 invited plenary lectures and, in addition, shorter talks by
the participants. Main plenary lectures will be given by:
Klaus Bierstedt (Paderborn)
Jose Bonet (Valencia)
Alexander Borichev (Bordeaux)
Gilles Godefroy (Paris)
Chen Huaihui (Nanjing)
Serguei Kislyakov (St. Petersburg)
Reinhold Meise (Dusseldorf)
Artur Nicolau (Barcelona)
Edward Odell (Austin)
David Preiss (London)
Eero Saksman (Jyvaskyla)
Joel Shapiro (East Lansing)
Dietmar Vogt (Wuppertal)
Scientific committee: Jari Taskinen (Joensuu, chair), Rauno Aulaskari (Joensuu)
,
Mikael Lindstr\"om (Abo), Hans-Olav Tylli (Helsinki).
Joensuu is a pleasant mid-size town in eastern Finland, which is conveniently
accessible from Helsinki by frequent trains or flights. The scientific programm
e
of the workshop will commence on the morning of June 21.
More information about the workshop (registration, programme, accommodation,
contact addresses, location) can be found on the www-page
http://www.joensuu.fi/mathematics/workshop2004
_______________________________________________
Banach mailing list
Banach at math.okstate.edu
http://mail.math.okstate.edu:8080/mailman/listinfo/banach
From alspach Thu Feb 12 09:12:22 2004
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Thu, 12 Feb 2004 09:12:22 -0600
Date: Thu, 12 Feb 2004 09:12:22 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200402121512.i1CFCMJ11656 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Marius Junge, Zhong-Jin Ruan and David Sherman
Status: R
This is an announcement for the paper "A classification for 2-isometries
of noncommutative Lp-spaces" by Marius Junge, Zhong-Jin Ruan and David
Sherman.
Abstract: In this paper we extend previous results of Banach, Lamperti
and Yeadon on isometries of Lp-spaces to the non-tracial case first
introduced by Haagerup. Specifically, we use operator space techniques
and an extrapolation argument to prove that every 2-isometry T : Lp(M)
to Lp(N) between arbitrary noncommutative Lp-spaces can always be written
in the form T(phi^{1/p}) = w (phi circ pi^{-1} circ E)^{1/p}, for phi
in M_*^+. Here pi is a normal *-isomorphism from M onto the von Neumann
subalgebra pi(M) of N, w is a partial isometry in N, and E is a normal
conditional expectation from N onto pi(M). As a consequence of this,
any 2-isometry is automatically a complete isometry and has completely
contractively complemented range.
Archive classification: Operator Algebras
Remarks: 25 pages
The source file(s), 2isom.tex: 88005 bytes, is(are) stored in gzipped
form as 0402181.gz with size 26kb. The corresponding postcript file has
gzipped size 111kb.
Submitted from: dasherma at ux1.cso.uiuc.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.OA/0402181
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From alspach Fri Feb 13 08:15:17 2004
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Fri, 13 Feb 2004 08:15:17 -0600
Date: Fri, 13 Feb 2004 08:15:17 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200402131415.i1DEFH718695 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by I. Gasparis, E. Odell, and B. Wahl
Status: R
This is an announcement for the paper "Weakly null sequences in the
Banach space C(K)" by I. Gasparis, E. Odell, and B. Wahl.
Abstract: The hierarchy of the block bases of transfinite normalized
averages of a normalized Schauder basic sequence is introduced and a
criterion is given for a normalized weakly null sequence in C(K), the
Banach space of scalar valued functions continuous on the compact metric
space K, to admit a block basis of normalized averages equivalent to the
unit vector basis of c_0, the Banach space of null scalar sequences. As
an application of this criterion, it is shown that every normalized
weakly null sequence in C(K), for countable K, admits a block basis of
normalized averages equivalent to the unit vector basis of c_0.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B03
Remarks: 36 pages
The source file(s), gow5.tex: 137843 bytes, is(are) stored in gzipped
form as 0402202.gz with size 33kb. The corresponding postcript file has
gzipped size 147kb.
Submitted from: combs at mail.ma.utexas.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0402202
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From alspach Wed Feb 18 08:09:09 2004
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Wed, 18 Feb 2004 08:09:09 -0600
Date: Wed, 18 Feb 2004 08:09:09 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200402181409.i1IE99v31667 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Jaroslaw Wawrzycki
Status: R
This is an announcement for the paper "A generalization of the
Markov-Kakutani fixed point theorem" by Jaroslaw Wawrzycki.
Abstract: In this announcement we generalize the Markov-Kakutani fixed
point theorem for abelian semi-groups of affine transformations extending
it on some class of non-commutative semi-groups. As an interesting example
we apply it obtaining a generalization of the invariant version of the
Hahn-Banach theorem.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46A22, 46A55
Remarks: 5 pages, Latex preparation
The source file(s), kakutani.tex: 11176 bytes, is(are) stored in gzipped
form as 0402255.gz with size 4kb. The corresponding postcript file has
gzipped size 32kb.
Submitted from: Jaroslaw.Wawrzycki at ifj.edu.pl
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0402255
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From alspach Fri Feb 20 13:02:24 2004
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Fri, 20 Feb 2004 13:02:23 -0600
Date: Fri, 20 Feb 2004 13:02:23 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200402201902.i1KJ2NH15034 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Javier Parcet and Gilles Pisier
Status: R
This is an announcement for the paper "Non-commutative Khintchine type
inequalities associated with free groups" by Javier Parcet and Gilles
Pisier.
Abstract: Let Fn denote the free group with n generators g1,g2,..,gn. Let
$\lambda$ stand for the left regular representation of Fn and let $\tau$
be the standard trace associated to $\lambda$. Given any positive integer
d, we study the operator space structure of the subspace Wp(n,d) of
Lp(\tau) generated by the family of operators $\lambda(g_{i_1}g_{i_2}
... g_{i_d})$ with $1 \le i_k \le n$. Moreover, our description of this
operator space holds up to a constant which does not depend on n or p,
so that our result remains valid for infinitely many generators. We
also consider the subspace of L_p(\tau) generated by the image under
$\lambda$ of the set of reduced words of length d. Our result extends
to any exponent $1 \le p \le \infty$ a previous result of Buchholz for
the space $W_{\infty}(n,d)$.
Archive classification: Operator Algebras; Functional Analysis
Mathematics Subject Classification: 46L52; 46L53
Remarks: 19 pages
The source file(s), Free.tex: 71069 bytes, is(are) stored in gzipped
form as 0312300.gz with size 17kb. The corresponding postcript file has
gzipped size 94kb.
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/math.OA/0312300
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From alspach Tue Mar 9 06:34:59 2004
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Tue, 9 Mar 2004 06:34:59 -0600
Date: Tue, 9 Mar 2004 06:34:59 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200403091234.i29CYx115472 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Marius Junge and Javier Parcet
Status: R
This is an announcement for the paper "The norm of sums of independent
non-commutative random variables in $L_p(\ell_1)$" by Marius Junge
and Javier Parcet.
Abstract: We investigate the norm of sums of independent vector-valued
random variables in non-commutative Lp spaces. This allows us to obtain
a uniform family of complete embeddings of the Schatten class Sq^n
in Sp(lq^m) with optimal order m=n^2. Using these embeddings we show
the surprising fact that the sharp type (cotype) index in the sense of
operator spaces for Lp[0,1] is min(p,p') (max(p,p')). Similar techniques
are used to show that the operator space notions of B-convexity and
K-convexity are equivalent.
Archive classification: Functional Analysis; Operator Algebras
Mathematics Subject Classification: 46L07; 46L52; 46L53
Remarks: 30 pages
The source file(s), Lp1.tex: 107978 bytes, is(are) stored in gzipped
form as 0403103.gz with size 29kb. The corresponding postcript file has
gzipped size 133kb.
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/math.FA/0403103
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From alspach Tue Mar 16 11:55:51 2004
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Tue, 16 Mar 2004 11:55:51 -0600
Date: Tue, 16 Mar 2004 11:55:51 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200403161755.i2GHtpI08773 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Gilles Pisier
Status: R
This is an announcement for the paper "Completely bounded maps into
certain Hilbertian operator spaces" by Gilles Pisier.
Abstract: We prove a factorization of completely bounded maps from
a $C^*$-algebra $A$ (or an exact operator space $E\subset A$) to
$\ell_2$ equipped with the operator space structure of $(C,R)_\theta$
($0<\theta<1$) obtained by complex interpolation between the column and
row Hilbert spaces. More precisely, if $F$ denotes $\ell_2$ equipped with
the operator space structure of $(C,R)_\theta$, then $u:\ A \to F$ is
completely bounded iff there are states $f,g$ on $A$ and $C>0$ such that
\[ \forall a\in A\quad \|ua\|^2\le C f(a^*a)^{1-\theta}g(aa^*)^{\theta}.\]
This extends the case $\theta=1/2$ treated in a recent paper with
Shlyakhtenko. The constants we obtain tend to 1 when $\theta \to 0$
or $\theta\to 1$. We use analogues of ``free Gaussian" families in non
semifinite von Neumann algebras. As an application, we obtain that, if
$0<\theta<1$, $(C,R)_\theta$ does not embed completely isomorphically into
the predual of a semifinite von Neumann algebra. Moreover, we characterize
the subspaces $S\subset R\oplus C$ such that the dual operator space $S^*$
embeds (completely isomorphically) into $M_*$ for some semifinite von
neumann algebra $M$: the only possibilities are $S=R$, $S=C$, $S=R\cap C$
and direct sums built out of these three spaces. We also discuss when
$S\subset R\oplus C$ is injective, and give a simpler proof of a result
due to Oikhberg on this question. In the appendix, we present a proof
of Junge's theorem that $OH$ embeds completely isomorphically into
a non-commutative $L_1$-space. The main idea is similar to Junge's,
but we base the argument on complex interpolation and Shlyakhtenko's
generalized circular systems (or ``generalized free Gaussian"), which
somewhat unifies Junge's ideas with those of our work with Shlyakhtenko.
Archive classification: Operator Algebras; Functional Analysis
Mathematics Subject Classification: 46L07, 46L54, 47L25, 47L50
The source file(s), oh3.suite.09.mars.04.tex: 79910 bytes, is(are)
stored in gzipped form as 0403220.gz with size 26kb. The corresponding
postcript file has gzipped size 109kb.
Submitted from: gip at ccr.jussieu.fr
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http://front.math.ucdavis.edu/math.OA/0403220
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From alspach Mon Mar 22 13:32:26 2004
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Date: Mon, 22 Mar 2004 13:32:26 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200403221932.i2MJWQf27375 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Roman Vershynin
Status: R
This is an announcement for the paper "Integer cells in convex sets"
by Roman Vershynin.
Abstract: Every convex body K in R^n admits a coordinate projection PK
that contains at least vol(0.1 K) cells of the integer lattice PZ^n,
provided this volume is at least one. Our proof of this counterpart
of Minkowski's theorem is based on an extension of the combinatorial
density theorem of Sauer, Shelah and Vapnik-Chervonenkis to Z^n. This
leads to a new approach to sections of convex bodies.In particular,
fundamental results of the asymptotic convex geometry such as the Volume
Ratio Theorem and Milman's duality of the diameters admit natural versions
for coordinate sections.
Archive classification: Functional Analysis; Combinatorics
Mathematics Subject Classification: 52C07, 46B07, 05D05
Remarks: 26 pages
The source file(s), vr.tex: 57558 bytes, is(are) stored in gzipped form as
0403278.gz with size 18kb. The corresponding postcript file has gzipped
size 89kb.
Submitted from: vershynin at math.ucdavis.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0403278
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Date: Wed, 24 Mar 2004 09:35:05 -0600 (CST)
From: Bill Johnson <johnson at math.tamu.edu>
To: banach at math.okstate.edu
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Subject: [Banach] Workshop at A&M
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Status: R
Workshop in Linear Analysis and Probability
Department of Mathematics
Texas A&M University
Summer 2004
The Summer 2004 session of the Workshop in Linear Analysis and
Probability at Texas A&M University will be in session from July 19
until August 14. SUMIRFAS will be held August 6-8. For information
about the Workshop, consult the Workshop Home Page, URL
http://www.math.tamu.edu/research/workshops/linanalysis/
Ken Dykemma and Gilles Pisier are organizing a Concentration Week on Free
Probability
Theory and Noncommutative L_p Spaces that will take place August 2-6.
The Workshop is supported in part by grants from the National
Science Foundation. Limited support for local expenses is available.
For logistical help, including requests for support, please contact
Cheryl Dorn (cherylr 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,
please contact Ken Dykema (kdykema at math.tamu.edu) or Gilles Pisier
(pisier at math.tamu.edu).
_______________________________________________
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Date: Mon, 29 Mar 2004 10:08:24 -0600
From: Dale Alspach <alspach at math.okstate.edu>
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Subject: [Banach] Informal Analysis Seminar at Kent State
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Status: R
Despite numerous requests, we are proud to announce the next
INFORMAL ANALYSIS SEMINAR
KENT STATE UNIVERSITY
SATURDAY, APRIL 10, 2004
Speakers:
Sergei Treil, Brown University
Structured norms, robust control and singular integral
operators,
Alex Solynin, University of Arkansas,
Overdetermined boundary-value problems, quadrature
identities, and applications,
Igor Pritsker, Oklahoma State University
Norms of products of polynomials and a distance function,
As usual, the proceedings will commence at noon in the Mathematics
Building with a truly gourmet luncheon. We can help arrange
accommodation, etc. All are welcome.
V. Andriyevskyy, R. Aron, J. Diestel, P. Enflo, V. Gurariy, V. Lomonosov, A. Tonge
_______________________________________________
Banach mailing list
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From alspach Fri Apr 2 08:10:13 2004
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Fri, 2 Apr 2004 08:10:13 -0600
Date: Fri, 2 Apr 2004 08:10:13 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200404021410.i32EADS16605 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Vassiliki Farmaki
Status: R
This is an announcement for the paper "Ramsey and Nash-Williams
combinatorics via Schreier families" by Vassiliki Farmaki.
Abstract: The main results of this paper (a) extend the finite Ramsey
partition theorem, and (b) employ this extension to obtain a stronger
form of the infinite Nash-Williams partition theorem, and also a new
proof of Ellentuck's, and hence Galvin-Prikry's partition theorem. The
proper tool for this unification of the classical partition theorems at
a more general and stronger level is the system of Schreier families
$({\cal A}_{\xi})$ of finite subsets of the set of natural numbers,
defined for every countable ordinal $\xi$.
Archive classification: Functional Analysis
Mathematics Subject Classification: Primary 05D10; Secondary 05C55
Remarks: 28 pages, preliminary version
The source file(s), Ramseytheorem.tex: 91989 bytes, is(are) stored in
gzipped form as 0404014.gz with size 22kb. The corresponding postcript
file has gzipped size 83kb.
Submitted from: combs at mail.ma.utexas.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0404014
or
http://arXiv.org/abs/math.FA/0404014
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From alspach Thu Apr 8 13:00:38 2004
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Thu, 8 Apr 2004 13:00:38 -0500
Date: Thu, 8 Apr 2004 13:00:38 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200404081800.i38I0cB08305 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Takashi Itoh and Masaru Nagisa
Status: R
This is an announcement for the paper "The numerical radius Haagerup
norm and Hilbert space square factorizations" by Takashi Itoh and
Masaru Nagisa.
Abstract: We study a factorization of bounded linear maps from an operator
space $A$ to its dual space $A^*$. It is shown that $T : A \longrightarrow
A^*$ factors through a pair of a column Hilbert spaces $\mathcal{H}_c$
and its dual space if and only if $T$ is a bounded linear form on $A
\otimes A$ by the canonical identification equipped with a numerical
radius type Haagerup norm. As a consequence, we characterize a bounded
linear map from a Banach space to its dual space, which factors through
a pair of Hilbert spaces.
Archive classification: Operator Algebras
Mathematics Subject Classification: 46L07 (Primary) 47L25, 46B28, 46L06
(Secontary)
Remarks: 16 pages
The source file(s), ina03.tex: 44003 bytes, is(are) stored in gzipped
form as 0404152.gz with size 12kb. The corresponding postcript file has
gzipped size 70kb.
Submitted from: itoh at edu.gunma-u.ac.jp
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.OA/0404152
or
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From alspach Mon Apr 12 08:13:48 2004
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Mon, 12 Apr 2004 08:13:47 -0500
Date: Mon, 12 Apr 2004 08:13:47 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200404121313.i3CDDlp16344 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Mark Rudelson and Roman Vershynin
Status: R
This is an announcement for the paper "Random processes via the
combinatorial dimension: introductory notes" by Mark Rudelson and Roman
Vershynin.
Abstract: This is an informal discussion on one of the basic problems
in the theory of empirical processes, addressed in our preprint
"Combinatorics of random processes and sections of convex bodies",
which is available at ArXiV and from our web pages.
Archive classification: Functional Analysis; Probability Theory
Mathematics Subject Classification: 46B09, 60G15, 68Q15
Remarks: 4 pages
The source file(s), rv-processes-description.tex: 12005 bytes, is(are)
stored in gzipped form as 0404193.gz with size 5kb. The corresponding
postcript file has gzipped size 30kb.
Submitted from: vershynin at math.ucdavis.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0404193
or
http://arXiv.org/abs/math.FA/0404193
or by email in unzipped form by transmitting an empty message with
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From alspach Mon Apr 12 08:14:34 2004
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Mon, 12 Apr 2004 08:14:34 -0500
Date: Mon, 12 Apr 2004 08:14:34 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200404121314.i3CDEYU16393 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Mark Rudelson and Roman Vershynin
Status: R
This is an announcement for the paper "Combinatorics of random processes
and sections of convex bodies" by Mark Rudelson and Roman Vershynin.
Abstract: We find a sharp combinatorial bound for the metric entropy
of sets in R^n and general classes of functions. This solves two basic
combinatorial conjectures on the empirical processes.
1. A class of functions satisfies the uniform Central Limit Theorem
if the
square root of its combinatorial dimension is integrable.
2. The uniform entropy is equivalent to the combinatorial dimension
under
minimal regularity. Our method also constructs a nicely bounded coordinate
section of a symmetric convex body in R^n. In the operator theory, this
essentially proves for all normed spaces the restricted invertibility
principle of Bourgain and Tzafriri.
Archive classification: Functional Analysis; Probability Theory
Mathematics Subject Classification: 46B09, 60G15, 68Q15
Remarks: 49 pages
The source file(s), rv-processes.tex: 122610 bytes, is(are) stored in
gzipped form as 0404192.gz with size 38kb. The corresponding postcript
file has gzipped size 150kb.
Submitted from: vershynin at math.ucdavis.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0404192
or
http://arXiv.org/abs/math.FA/0404192
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From alspach Sat Apr 17 08:07:22 2004
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Sat, 17 Apr 2004 08:07:22 -0500
Date: Sat, 17 Apr 2004 08:07:22 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200404171307.i3HD7Mu20921 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Cleon S. Barroso
Status: R
This is an announcement for the paper "The fixed point property for a
class of nonexpansive maps in L\sp\infty(\Omega,\Sigma,\mu)" by Cleon
S. Barroso.
Abstract: For a finite and positive measure space $(\Omega,\Sigma,\mu)$
and any weakly compact convex subset of $L\sp\infty(\Omega,\Sigma,mu)$,
a fixed point theorem for a class of nonexpansive self-mappings is
proved. An analogous result is obtained for the space $C(\Omega)$. An
illustrative example is given.
Archive classification: Functional Analysis
Mathematics Subject Classification: 47H10
Remarks: 4 pages
The source file(s), Cleonfp.tex: 11461 bytes, is(are) stored in gzipped
form as 0404235.gz with size 4kb. The corresponding postcript file has
gzipped size 32kb.
Submitted from: cleonbar at mat.ufc.br
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0404235
or
http://arXiv.org/abs/math.FA/0404235
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From alspach Tue Apr 20 07:12:08 2004
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Tue, 20 Apr 2004 07:12:08 -0500
Date: Tue, 20 Apr 2004 07:12:08 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200404201212.i3KCC8K18385 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by A. Brudnyi and Yu. Brudnyi
Status: R
This is an announcement for the paper "Metric spaces with linear
extensions preserving Lipschitz condition" by A. Brudnyi and Yu. Brudnyi.
Abstract: We study a new bi-Lipschitz invariant \lambda(M) of a metric
space M; its finiteness means that Lipschitz functions on an arbitrary
subset of M can be linearly extended to functions on M whose Lipschitz
constants are enlarged by a factor controlled by \lambda(M). We prove
that \lambda(M) is finite for several important classes of metric
spaces. These include metric trees of arbitrary cardinality, groups
of polynomial growth, some groups of exponential growth and certain
classes of Riemannian manifolds of bounded geometry. On the other hand
we construct an example of a Riemann surface M of bounded geometry for
which \lambda(M)=\infty.
Archive classification: Metric Geometry; Functional Analysis
Mathematics Subject Classification: 26B35; 54E35; 46B15
Remarks: 71 pages
The source file(s), lip.tex: 181271 bytes, is(are) stored in gzipped
form as 0404304.gz with size 53kb. The corresponding postcript file has
gzipped size 191kb.
Submitted from: albru at math.ucalgary.ca
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.MG/0404304
or
http://arXiv.org/abs/math.MG/0404304
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From alspach Fri Apr 23 10:08:57 2004
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Fri, 23 Apr 2004 10:08:57 -0500
Date: Fri, 23 Apr 2004 10:08:57 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200404231508.i3NF8vf08460 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Piotr W. Nowak
Status: R
This is an announcement for the paper "Coarse embeddings of metric spaces
into Hilbert spaces" by Piotr W. Nowak.
Abstract: There are several characterizations of coarse embeddability
of a discrete metric space into a Hilbert space. In this note we give
such characterizations for general metric spaces. By applying these
results to the spaces $L_p(\mu)$, we get their coarse embeddability into
a Hilbert space for $0<p<2$. This together with a theorem by Banach and
Mazur yields that coarse embeddability into $\ell_2$ and into $L_p(0,1)$
are equivalent when $1 \le p<2$. A theorem by G.Yu and the above allow
to extend to $L_p(\mu)$, $0<p<2$, the range of spaces, coarse embedding
into which guarantees for a finitely generated group $\Gamma$ %(viewed
as a metric space) to satisfy the Novikov Conjecture.
Archive classification: Metric Geometry; Functional Analysis
Mathematics Subject Classification: 46C05; 46T99
Remarks: 8 pages
The source file(s), CoarseembeddingsintoBanachspaces.tex: 25381 bytes,
is(are) stored in gzipped form as 0404401.gz with size 8kb. The
corresponding postcript file has gzipped size 47kb.
Submitted from: pnowak at math.tulane.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.MG/0404401
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Fri, 23 Apr 2004 10:14:18 -0500
Date: Fri, 23 Apr 2004 10:14:18 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200404231514.i3NFEIA08526 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by T. Suzuki
Status: R
This is an announcement for the paper "Common fixed points of commutative
semigroups of nonexpansive mappings" by T. Suzuki.
Abstract: In this paper, we discuss characterizations of common fixed
points of commutative semigroups of nonexpansive mappings. We next
prove convergence theorems to a common fixed point. We finally discuss
nonexpansive retractions onto the set of common fixed points. In our
discussion, we may not assume the strict convexity of the Banach space.
Archive classification: Functional Analysis
Mathematics Subject Classification: 47H20
Remarks: 18 pages
The source file(s), suzuki2.tex: 57526 bytes, is(are) stored in gzipped
form as 0404428.gz with size 13kb. The corresponding postcript file has
gzipped size 77kb.
Submitted from: suzuki-t at mns.kyutech.ac.jp
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0404428
or
http://arXiv.org/abs/math.FA/0404428
or by email in unzipped form by transmitting an empty message with
subject line
uget 0404428
or in gzipped form by using subject line
get 0404428
to: math at arXiv.org.
From alspach Fri Apr 23 10:15:42 2004
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Fri, 23 Apr 2004 10:15:42 -0500
Date: Fri, 23 Apr 2004 10:15:42 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200404231515.i3NFFgV08592 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Piotr W. Nowak
Status: R
This is an announcement for the paper "Group actions on Banach spaces
and a geometric characterization of a-T-menability" by Piotr W. Nowak.
Abstract: We prove a geometric characterization of a-T-menability
through proper, affine, isometric actions on subspaces of $L_p[0,1]$
for $1<p<2$. This answers a question of A.~Valette.
Archive classification: Metric Geometry; Functional Analysis
Remarks: 4 pages
The source file(s), a-T-menable-2.tex: 13180 bytes, is(are) stored in
gzipped form as 0404402.gz with size 5kb. The corresponding postcript
file has gzipped size 33kb.
Submitted from: pnowak at math.tulane.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.MG/0404402
or
http://arXiv.org/abs/math.MG/0404402
or by email in unzipped form by transmitting an empty message with
subject line
uget 0404402
or in gzipped form by using subject line
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to: math at arXiv.org.
From alspach Thu Apr 29 09:53:56 2004
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Thu, 29 Apr 2004 09:53:56 -0500
Date: Thu, 29 Apr 2004 09:53:56 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200404291453.i3TEru406094 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Roman Vershynin
Status: R
This is an announcement for the paper "Isoperimetry of waists and local
versus global asymptotic convex geometries" by Roman Vershynin.
Abstract: Existence of nicely bounded sections of two symmetric convex
bodies K and L implies that the intersection of random rotations of K
and L is nicely bounded. For L = subspace, this main result immediately
yields the unexpected phenomenon: "If K has one nicely bounded section,
then most sections of K are nicely bounded". This 'existence implies
randomness' consequence was proved independently in [Giannopoulos,
Milman and Tsolomitis]. The main result represents a new connection
between thelocal asymptotic convex geometry (study of sections of K) and
the global asymptotic convex geometry (study K as a whole). The method
relies on the new 'isoperimetry of waists' on the sphere due to Gromov.
Archive classification: Functional Analysis
Mathematics Subject Classification: 52A20,46B07
The source file(s), localglobal.tex: 28490 bytes, is(are) stored in
gzipped form as 0404500.gz with size 9kb. The corresponding postcript
file has gzipped size 52kb.
Submitted from: vershynin at math.ucdavis.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0404500
or
http://arXiv.org/abs/math.FA/0404500
or by email in unzipped form by transmitting an empty message with
subject line
uget 0404500
or in gzipped form by using subject line
get 0404500
to: math at arXiv.org.
From alspach Thu Apr 29 09:55:08 2004
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Thu, 29 Apr 2004 09:55:08 -0500
Date: Thu, 29 Apr 2004 09:55:08 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200404291455.i3TEt8806160 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Mark Rudelson and Roman Vershynin
Status: R
This is an announcement for the paper "On random intersections of two
convex bodies. Appendix to: "Isoperimetry of waists and local versus
global asymptotic convex geometries" by R.Vershynin" by Mark Rudelson
and Roman Vershynin.
Abstract: In the paper "Isoperimetry of waists and local versus global
asymptotic convex geometries", it was proved that the existence of
nicely bounded sections of two symmetric convex bodies K and L implies
that the intersection of randomly rotated K and L is nicely bounded. In
this appendix, we achieve a polynomial bound on the diameter of that
intersection (in the ratio of the dimensions of the sections).
Archive classification: Functional Analysis
Mathematics Subject Classification: 52A20, 46B07
The source file(s), localglobal-appendix.tex: 8336 bytes, is(are) stored
in gzipped form as 0404502.gz with size 3kb. The corresponding postcript
file has gzipped size 24kb.
Submitted from: vershynin at math.ucdavis.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0404502
or
http://arXiv.org/abs/math.FA/0404502
or by email in unzipped form by transmitting an empty message with
subject line
uget 0404502
or in gzipped form by using subject line
get 0404502
to: math at arXiv.org.
From banach-bounces at math.okstate.edu Wed Apr 28 08:23:52 2004
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Date: Wed, 28 Apr 2004 08:16:34 -0500
From: Dale Alspach <alspach at math.okstate.edu>
Subject: [Banach] Conference in Granada
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Status: R
Next September, from the 20th to the 24th, the SECOND INTERNATIONAL
COURSE OF MATHEMATICAL ANALISIS IN ANDALUCIA will be held in Granada
(Spain). These courses are held every two years in an Andalusian
city, with the first being in Cádiz, in September 2002. Our aim
is to give an extensive overview of new directions and advances in
Mathematical Analysis. Therefore the researcher is invited to get into
topics seen promising as guidelines for current and future research
in this interesting area of Mathematics. Leading researchers in the
area will provide us with a large variety of topics and open problems,
showing also some tools and techniques that have been helpful in similar
situations. In order to accomplish this goal, both seminars and one-hour
talks will be offered. While the one-hour talk are intended to provide
an overview on a variety of current topics, the seminars will extend
over several days and will therefore allow an in-depth discussion of
certain specific subjects. Moreover, all participants of the meeting
will have the opportunity to present new results of their research in
short communications.
The invited speakers of this Second Course are the following:
Richard M. Aron (Kent State University, USA)
Fernando Bombal (Universidad Complutense de Madrid, Spain)
José Bonet, (Universidad Politécnica de Valencia, Spai
Javier Duoandikoetxea (Universidad del PaÃs Vasco, Spain)
Miguel de Guzmán (Universidad Complutense de Madrid, Spain)(*)
Gilles Godefroy (U. Paris VI , France )
William B. Johnson (Texas A&M University, USA)
Nigel J. Kalton, (University of Missouri, USA)
Michael Neumann (Mississippi State University, USA)
Lawrence Narici (St. John's University, New York, USA)
Kristian Seip (Norwegian University of Sciences and Technology, Norway)
Manuel Valdivia (Universidad de Valencia, Spain)
Joan Verdera (Universidad Autónoma de Barcelona, Spain)
Felipe Zó (Universidad Nacional de San Luis, Argentina)
(*) We are very sorry to announce the death of Professor Miguel de
Guzman (1936-2004), on April 14, 2004. Professor Guzman held a Chair
in Mathematical Analysis at the Universidad Complutense de Madrid and
was a member of the Royal Academy of Sciences. We had looked forward
very much to his participation, as a principal speaker at our meeting.
His guidance, leadership, and wisdom will be very much missed.
The registration fee is 50 euros for students and 100 euros for all
others, provided this fee is paid before July 15th. After July 15, 2004,
the fee will be 100 euros for students and 120 euros others. A gala
dinner is included in this fee. To formalize the registration process,
participants need to complete the inscription form and also to pay
the inscription fee. The electronic version of the inscription form is
available in our web page:
http://www.ugr.es/local/amandal
where one can register on-line. Finally if you have problems to coming
into our web page please contact us.
Lodging is arranged by our Technical Secretary (Eurocongres S.A.)
We have rooms in Students Residence Halls at 20 euros per single room
per night (subsidized fee) and four star hotels at 60.10 per room per
night (which is a special price for our University), with breakfast
included. Both the Student Residence Halls and affiliated hotels are
located within walking distance to the meeting centre (the Faculty of
Science of the Universidad de Granada). We would like to advise you that
despite the fact that Granada has many hotels, the number of room we can
offer you to this special price is very limited. We therefore strongly
suggest that you make your reservation as soon as possible, especially
since September is still high season in Granada. Student Residence and
hotel rooms will be assigned by strict reservation order and, after that,
we cannot guarantee these prices.
The scientific program will be complemented by some of the typical
attractions of Granada and its surroundings (of course, a visit to
the Alhambra is included!). These leisure activities will encourage
links of friendship that are so important for every professional group.
The Organizing Committee invites you to participate in this meeting with
the best wishes that you have a happy and fruitful stay here in Granada.
Yours sincerely.
Victoria Velasco Collado
(Coordinator)
Dpto de Ana¡lisis Matemático
Facultad de Ciencias
Universidad de Granada
18071- Granada (Spain)
E-mail : amandal at ugr.es
_______________________________________________
Banach mailing list
Banach at math.okstate.edu
http://mail.math.okstate.edu:8080/mailman/listinfo/banach
From alspach Fri Apr 30 14:16:34 2004
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Fri, 30 Apr 2004 14:16:33 -0500
Date: Fri, 30 Apr 2004 14:16:33 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200404301916.i3UJGXq14659 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by R. Gonzalo and J. A. Jaramillo
Status: R
This is an announcement for the paper "Estimates of disjoint sequences
in Banach lattices and r. i. function spaces" by R. Gonzalo and
J. A. Jaramillo.
Abstract: We introduce UDSp-property (resp. UDTq-property) in Banach
lattices as the property that every normalized disjoint sequence has
a subsequence with an upper p-estimate (resp. lower q-estimate). In
the case of rearrangement invariant spaces, the relationships with Boyd
indices of the space are studied. Some applications of these properties
are given to the high order smoothness of Banach lattices, in the sense
of the existence of differentiable bump functions.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B42; 46E30; 46G05
The source file(s), disjoint.tex: 39217 bytes, is(are) stored in gzipped
form as 0404526.gz with size 12kb. The corresponding postcript file has
gzipped size 64kb.
Submitted from: jaramil at mat.ucm.es
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0404526
or
http://arXiv.org/abs/math.FA/0404526
or by email in unzipped form by transmitting an empty message with
subject line
uget 0404526
or in gzipped form by using subject line
get 0404526
to: math at arXiv.org.
From banach-bounces at math.okstate.edu Mon May 3 09:54:25 2004
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Date: Mon, 03 May 2004 09:46:16 -0500
From: Dale Alspach <alspach at math.okstate.edu>
Subject: [Banach] Conference in Granada (resend with corrections)
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Status: R
Next September, from the 20th to the 24th, the SECOND
INTERNATIONAL COURSE OF MATHEMATICAL ANALYSIS IN ANDALUCIA will
be held in Granada (Spain). These courses are held every two
years in some Andalusian city, with the first being in Cadiz, in
September 2002.
Our aim is to give an extensive overview of new directions and advances in
Mathematical Analysis. Therefore the researcher is invited to get into
topics seem promising as guidelines for current and future research in this
interesting area of Mathematics. Leading researchers in the field will
provide us with a nice variety of topics and open problems, showing also
some tools and techniques that have been helpful in similar situations. To
this goal, we offer both seminars and one-hour talks. While the one-hour
talk are intended to provide an overview on a variety of current topics, the
seminars will extend over several days and will therefore allow an in-depth
discussion of certain specific subjects. Moreover, all participants of the
meeting will have the opportunity to present new results of their research
in short communications.
The invited speakers of this Second Course are the following:
- Richard M. Aron (Kent State University, USA)
- Fernando Bombal (Universidad Complutense de Madrid, Spain)
- Jose Bonet (Universidad Politecnica de Valencia, Spain).
- Javier Duoandikoetxea (Universidad del Pais Vasco, Spain)
- Miguel de Guzman (Universidad Complutense de Madrid, Spain) (*)
- Gilles Godefroy (University Paris VI , France )
- William B. Johnson (Texas A&M University, USA)
- Nigel J. Kalton (University of Missouri, USA)
- Michael Neumann (Mississippi State University, USA)
- Lawrence Narici (St. John's University, New York, USA)
- Kristian Seip (Norwegian Univ. of Sciences and Technology, Norway)
- Manuel Valdivia (Universidad de Valencia, Spain)
- Joan Verdera (Universitat Autonoma de Barcelona, Spain)
- Felipe Zo (Universidad Nacional de San Luis, Argentina)
(*) We are very sorry to announce the death of Professor Miguel de
Guzman (1936-2004), which occurred on April 14, 2004. Professor
Guzman held a Chair in Mathematical Analysis at the Universidad
Complutense de Madrid and was a member of the Royal Academy of
Sciences. We had looked forward very much to his participation,
as a principal speaker at our meeting. His guidance, leadership,
and wisdom will be very much missed.
The registration fee is 50 euros for students and 100 euros for all others,
provided this fee is paid before July 15th. After July 15, 2004, the fee
will be 100 euros for students and 120 euros others. A gala dinner is
included in this expense. To formalize the registration process,
participants need to complete the inscription form and also to pay the
inscription fee. The electronic version of the inscription form is available
in our web page:
http://www.ugr.es/local/amandal
where one can register on-line. To do it other way, please
contact us.
Lodging is arranged by our Technical Secretary (Eurocongres S.A.) We have
rooms in Students Residence Halls at 20 euros per single room per night
(subsidized fee) and four-star hotels at 60.10 euros per room per night
(which is a special price for our University), with breakfast included. Both
the Student Residence Halls and affiliated hotels are located within walking
distance to the meeting centre (Faculty of Science of the University of
Granada). We would like to advise you that despite the fact that Granada has
many hotels, the number of rooms we can offer you to this special price is
very limited. We therefore strongly suggest that you make your reservation
as soon as possible, especially since September is still high season in
Granada. Student Residence and hotel rooms will be assigned by strict
reservation order and, after that, we cannot guarantee these prices.
The scientific program will be complemented by some of the typical
attractions of Granada and its surroundings (of course, a visit to the
Alhambra is included!). These leisure activities will encourage links of
friendship that are so important for every professional group.
The Organizing Committee invites you to participate in this meeting with the
best wishes that you have a happy and fruitful stay here, in Granada.
Yours sincerely,
Victoria Velasco (Coordinator)
Dpto. de Analisis Matematico
Facultad de Ciencias Universidad de Granada
18071-Granada (Spain)
e-mail: amandal at ugr.es
Organizing/Scientific Committee:
- U. of Granada: Juan F. Mena, Rafael Paya, Angel Rodriguez-Palacios,
Victoria Velasco (coordinator).
- U. of Almeria: Amin Kaidi, J. Carlos Navarro.
- U. of Cadiz: Antonio Aizpuru, Fernando Leon.
- U. of Cordoba: J. Carlos Diaz.
- U. of Huelva: Candido Pineiro, Ramon Rodriguez.
- U. of Jaen: Miguel Marano, Francisco Roca.
- U. of Malaga: Antonio Fernandez, Daniel Girela, Fco. Javier Martin.
- U. of Sevilla: Santiago Diaz, Tomas Dguez Benavides, Carlos Perez, Luis
Rguez Piazza.
Organizing/Local Committee: M. Dolores Acosta, Julio Becerra,
Antonio Moreno, Antonio Peralta
_______________________________________________
Banach mailing list
Banach at math.okstate.edu
http://mail.math.okstate.edu:8080/mailman/listinfo/banach
From alspach at math.okstate.edu Thu May 6 11:29:15 2004
Return-Path: <alspach at math.okstate.edu>
Date: Tue, 04 May 2004 13:44:36 +0200
From: <fcabello at unex.es>
To: banach at math.okstate.edu
Subject: [Banach] V Conference on Banach Spaces (2nd announcement)
Dear Colleagues, this is the second, and last, announcement for
the
V Conference on Banach Spaces
to be held in Caceres during the week 13-17 September 2004.
Most of the available information can be found at the web-site
http://matematicas.unex.es/conference/banach
which will be periodically updated. Caceres is beautiful town at
the north of Extremadura. It is well connected with Madrid by bus
or train; the distance is about 300Km. The Old Town of Caceres
is part of the World Heritage, and anyone interested can get a
virtual tour at the address
http://www.iespana.es/paseovirtual/patrimonio1.htm
The Scientific Committee of the V Conference is formed by
Fernando Bombal, Universidad Complutense de Madrid;
Maria Jesus Carro, Universidad de Barcelona;
Jesus M.F. Castillo, Universidad de Extremadura;
Manuel Gonzalez, Universidad de Cantabria;
William B. Johnson, Texas A&M University;
Robert Phelps, University of Washington and
Angel Rodriguez Palacios, Universidad de Granada.
The main topics of the Conference are:
Geometrical methods in Banach spaces:
renormings, convexity, isometric properties,
Hilbert spaces, orthogonality, local theory...
Homological methods:
exact sequences and twisted sums, derived functors,
categorical properties of Banach spaces, Tensor products,
Ultraproducts, abstract interpolation...
Topological methods:
cardinality and set-theoretic properties, Lipschitz,
uniform ... structures in Banach spaces, topological vector
spaces...
Operator theory:
operator ideals, semigroups of operators, spectral theory,
interpolation, operator spaces and
C*-algebras...
Function spaces:
infinite dimensional holomorphy, continuous functions on Banach
spaces, Banach, Fréchet
.. spaces of continuous functions, lattices...
The following mathematicians have accepted to participate
delivering invited lectures:
S. Argyros, Athens, Greece
F. Cobos, Madrid, Spain
P. Domanski, Poznan, Poland
M. Girardi, St.Louis, USA
G. Godefroy, Paris, France
N. J. Kalton, Missouri, USA
W. B. Johnson, Texas A&M, USA
A. Molto, Valencia, Spain
J. P. Moreno, Madrid, Spain
P. L. Papini, Bologna, Italy
A. Pelczynski, Warszawa, Poland
R. Phelps, Washington, USA
H. O. Tylli, Helsinki, Finland
L. Weis, Karlsruhe, Germany
J. Wengenroth, Trier, Germany.
There will be sections devoted to shorter talks and
communications. The abstract submission form can be found at the
home page. There is a fee of 150 euros and the possibility of a
combined offer: fee + accommodation at the Residencia Munoz
Torrero, which includes breakfast and meal, by 300 euros. Again, the
details about methods of payment and the different options can be
found at the home page. The Organization is negotiating the
publication of the Proceedings volume with some international
publishers.
Please take notice the following deadlines:
* Deadline for submission of abstract: 15 June 2004
* Deadline for reduced rate registration: 15 June 2004
For any further information you may need, do not hesitate to
contact any member of the organization: Felix Cabello
(fcabello at unex.es), Jesus M. F. Castillo (castillo at unex.es),
Ricardo Garcia (rgarcia at unex.es) or send a mail to the address
banach at unex.es
There is a limited number of grants available. Applications can be
sent with just a message to the previous address.
The Conference is sponsored by:
Departamento de Matematicas de la Universidad de Extremadura
Diputacion de Caceres
Junta de Extremadura
Ministerio de Ciencia y Tecnologia
Real Sociedad Matematica Española.
We hope to meet you at Caceres
On behalf of the Organization,
Jesus M. F. Castillo,
Departamento de Matematicas
Universidad de Extremadura
castillo at unex.es
phone number: +34924289563
fax number: +34924272911
_______________________________________________
Banach mailing list
Banach at math.okstate.edu
http://mail.math.okstate.edu:8080/mailman/listinfo/banach
From alspach Tue May 11 08:06:51 2004
Return-Path: <alspach at www.math.okstate.edu>
Received: (from alspach at localhost)
by www.math.okstate.edu (8.11.6/8.8.7) id i4BD6p809973;
Tue, 11 May 2004 08:06:51 -0500
Date: Tue, 11 May 2004 08:06:51 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200405111306.i4BD6p809973 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Tomonari Suzuki
Status: R
This is an announcement for the paper "Fixed point theorems for
asymptotically contractive mappings" by Tomonari Suzuki.
Abstract: In this short paper, we prove fixed point theorems for
nonexpansive mappings whose domains are unbounded subsets of Banach
spaces. These theorems are generalizations of Penot's result in
[Proc. Amer. Math. Soc., 131 (2003), 2371--2377].
Archive classification: Functional Analysis
Mathematics Subject Classification: 47H09
Remarks: 7 pages
The source file(s), suzuki.tex: 18631 bytes, is(are) stored in gzipped
form as 0405163.gz with size 5kb. The corresponding postcript file has
gzipped size 38kb.
Submitted from: suzuki-t at mns.kyutech.ac.jp
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0405163
or
http://arXiv.org/abs/math.FA/0405163
or by email in unzipped form by transmitting an empty message with
subject line
uget 0405163
or in gzipped form by using subject line
get 0405163
to: math at arXiv.org.
From alspach Thu May 13 07:25:27 2004
Return-Path: <alspach at www.math.okstate.edu>
Received: (from alspach at localhost)
by www.math.okstate.edu (8.11.6/8.8.7) id i4DCPQQ24265;
Thu, 13 May 2004 07:25:26 -0500
Date: Thu, 13 May 2004 07:25:26 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200405131225.i4DCPQQ24265 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Piotr Pucha{\l}a
Status: R
This is an announcement for the paper "Continuous version of the Choquet
integral reperesentation theorem" by Piotr Pucha{\l}a.
Abstract: The Choquet - Bishop - de Leeuw theorem states that each element
of a compact convex subset of a locally convex topological Hausdorff space
is a barycenter of a probability measure supported by the set of extreme
points of that set. By the Edgar - Mankiewicz result this remains true
for nonempty closed bounded and convex set provided it has Radon - Nikodym
property. In the paper it is shown, that Choquet - type theorem holds also
for "moving" sets: they are values of a certain multifunction. Namely, the
existence of a suitable weak* continuous family of probability measures
"almost representing" points of such sets is proven. Both compact and
noncompact cases are considered. The continuous versions of the Krein -
Milman theorem are obtained as corollaries.
Archive classification: Functional Analysis
Mathematics Subject Classification: 54C60; 54C65; 46A55; 46B22
Remarks: 8 pages
The source file(s), choquetpreprint.tex: 29699 bytes, is(are) stored in
gzipped form as 0405217.gz with size 10kb. The corresponding postcript
file has gzipped size 48kb.
Submitted from: ppuchala at imi.pcz.pl
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0405217
or
http://arXiv.org/abs/math.FA/0405217
or by email in unzipped form by transmitting an empty message with
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From: Dale Alspach <alspach at math.okstate.edu>
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Subject: [Banach] JOURNAL OF APPLIED FUNCTIONAL ANALYSIS(JAFA)
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Status: R
CALL FOR HIGH QUALITY PAPERS
JOURNAL OF APPLIED FUNCTIONAL ANALYSIS(JAFA)
A quarterly International publication of NOVA Publishing Corporation of
NY,USA.
Editor in Chief: George Anastassiou
Department of Mathematical Sciences
The University of Memphis
Memphis,TN 38152,USA
E mail:
ganastss at memphis.edu
http://www.msci.memphis.edu/~anastasg/jafa/jafa.htm
Managing Editor : Carlo Bardaro (for all submissions)
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The main purpose of the Journal of Applied Functional Analysis(JAFA)
is to publish high quality original research articles, survey articles
and book reviews from all subareas of Applied Functional Analysis in the
broadest form plus from its applications and its connections to other
topics of Mathematical Sciences. A sample list of connected mathematical
areas with this publication includes but is not restricted to:
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Integral and Discrete Transforms, Chaos and Bifurcation, Nonlinear
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are included combinations of the above topics.
Working with Applied Functional Analysis Methods has become a main trend
in many
recent years, so we can understand better and deeper and solve important
problems of
our real and scientific world.
JAFA is a peer-reviewed International Quartely Journal published by NOVA
SCIENCE
Publ. Co. of NY -USA.
We are calling for high quality papers for possible publication. The
contributor should send four copies of the contribution to the MANAGING
EDITOR in TEX,LATEX double spaced. They should be sent ONLY REGULAR
MAIL,NOT REGISTERED MAIL,NO E-MAIL SUBMISSIONS[See: Instructions to
Contributors in
http://www.msci.memphis.edu/~anastasg/jafa/scope.htm .]
Honorary editor : P.L.Butzer (Aachen, Germany)
Associate editors: F.Altomare (Bari,Italy), A.Alvino (Napoli,Italy),
I.Argyros
(Cameron.U,USA), C.Badea (U.Lille, France), E.Balder (Utrecht, Holland),
H.Begehr
(Berlin,Germany), F.Bombal (Madrid, Spain), M.Campiti (Lecce, Italy),
D.Candeloro
(Perugia, Italy), P.Cerone (Melbourne, Australia), M.Dodson (York,UK),
S.Dragomir
(Melbourne, Australia), P.Ferriera (Aveiro, Portugal), G.Goldstein
(Memphis,USA),
J.Goldstein (Memphis, USA), H.Gonska (Duisburg, Germany), K.Groechenig
(GSF-
Neuherberg, Germany),T.X.He (Bloomington,USA), D.Hong (E.Tennesse St.
U,USA), H.Jongen (Aachen, Germany), N.Karayiannis (Houston,USA),
T.Kilgore (Auburn,USA) ,J.K.Kim (Masan Kyungnam,Korea), M.Krbec (Praha,
Czech Republic), P.Maass
(Bremen, Germany), J.Musielak (Poznan, Poland), P.Papini (Bologna,
Italy),
S.Rachev (Karlsruhe, Germany and UC Santa Barbara,USA), P.Ricci (Rome,
Italy),
S.Romanelli (Bari, Italy), B.Shekhtman (Tampa,USA), P.Siafaricas
(Patras,Greece),
R.Stens (Aachen,Germany), J.Trujillo (Tenerife, Spain), T.Vashakmadze
(Tbilisi,Georgia), R.Verma (Toledo,USA), G.Vinti (Perugia, Italy),
U.Westphal (Hannover, Germany), R.Zalik (Auburn, USA).
- --
George A. Anastassiou,Ph.D
Professor of Mathematics
Department of Mathematical Sciences
The University of Memphis,Memphis,TN 38152,USA
Editor-In-Chief JoCAAA, JCAAM ;World Sci.Publ.Book Series:
Concrete & Applicable Math.
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From alspach Fri May 21 21:16:28 2004
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Date: Fri, 21 May 2004 21:16:27 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200405220216.i4M2GR826638 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Mark W. Meckes
Status: R
This is an announcement for the paper "Some remarks on transportation
inequalities and the slicing problem" by Mark W. Meckes.
Abstract: We show that transportation cost inequalities can be used
to derive bounds for isotropic constants of convex bodies. We state
a conjecture about transportation costs (and discuss support for it)
which would have strong consequences for the slicing problem.
Archive classification: Metric Geometry; Functional Analysis
Mathematics Subject Classification: 52A20; 60E15
Remarks: AMSLaTeX
The source file(s), transport.tex: 21567 bytes, is(are) stored in gzipped
form as 0405376.gz with size 7kb. The corresponding postcript file has
gzipped size 47kb.
Submitted from: mark at math.stanford.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.MG/0405376
or
http://arXiv.org/abs/math.MG/0405376
or by email in unzipped form by transmitting an empty message with
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uget 0405376
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From banach-bounces at math.okstate.edu Mon May 24 10:48:57 2004
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Date: Mon, 24 May 2004 10:40:54 -0500
From: Dale Alspach <alspach at math.okstate.edu>
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Subject: [Banach] Winter School, Toulouse 2005
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Status: R
***********************************************************
FIRST ANNOUNCEMENT of the WINTER SCHOOL on
PROBABILISTIC METHODS IN HIGH DIMENSION PHENOMENA
Toulouse, January 10-14, 2005
The school will provide young as well as expert scientists with
the recent probabilistic tools developed for the investigation
of high-dimensional systems. It is part of the project of European
Network Phenomena in High Dimension. It will be composed of the
following five courses:
I.Benjamini (Rehovot) ``Random walks and Percolation on graphs''
C.Borell (Goteborg) ``Minkowski sums in Gaussian analysis''
K.Johansson (Stockholm) ``Determinantal Processes in Random Matrix Theory''
G.Lugosi (Barcelona) ``Concentration of Functions of Independent Random
Variables''
R.Schneider (Freiburg) ``Convexity in Stochastic Geometry''
The conference Webpage is at http://www.lsp.ups-tlse.fr/Proba_Winter_School/.
It contains more information as well as the registration material.
Do not hesitate to print the conference poster
(http://www.lsp.ups-tlse.fr/Proba_Winter_School/poster.pdf) and
to post it in your lab!
***********************************************************************
__________________________________________________________________________
Michel Ledoux ledoux at math.ups-tlse.fr
Institut de Mathematiques Tel : (+33) 561 55 85 74
Universite de Toulouse Fax : (+33) 561 55 60 89
F-31062 Toulouse, France http://www.lsp.ups-tlse.fr/Ledoux/
_______________________________________________
Banach mailing list
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From alspach Mon May 31 09:09:12 2004
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by www.math.okstate.edu (8.11.6/8.8.7) id i4VE9BO12364;
Mon, 31 May 2004 09:09:11 -0500
Date: Mon, 31 May 2004 09:09:11 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200405311409.i4VE9BO12364 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Gilles Lancien and Beata Randrianantoanina
Status: R
This is an announcement for the paper "On the extension of H\"{o}lder
maps with values in spaces of continuous functions" by Gilles Lancien
and Beata Randrianantoanina.
Abstract: We study the isometric extension problem for H\"{o}lder
maps from subsets of any Banach space into $c_0$ or into a space
of continuous functions. For a Banach space $X$, we prove that any
$\alpha$-H\"{o}lder map, with $0<\alpha\leq 1$, from a subset of $X$
into $c_0$ can be isometrically extended to $X$ if and only if $X$
is finite dimensional. For a finite dimensional normed space $X$ and
for a compact metric space $K$, we prove that the set of $\alpha$'s
for which all $\alpha$-H\"{o}lder maps from a subset of $X$ into $C(K)$
can be extended isometrically is either $(0,1]$ or $(0,1)$ and we give
examples of both occurrences. We also prove that for any metric space $X$,
the described above set of $\al$'s does not depend on $K$, but only on
finiteness of $K$.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B20 (46T99, 54C20, 54E35)
Remarks: 16 pages
The source file(s), lancien-randrian.tex: 42206 bytes, is(are) stored in
gzipped form as 0405565.gz with size 13kb. The corresponding postcript
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Submitted from: randrib at muohio.edu
The paper may be downloaded from the archive by web browser from URL
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From alspach Thu Jun 10 11:06:51 2004
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Thu, 10 Jun 2004 11:06:51 -0500
Date: Thu, 10 Jun 2004 11:06:51 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200406101606.i5AG6ps27353 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by V. Farmaki and S. Negrepontis
Status: R
This is an announcement for the paper "Block combinatorics" by V. Farmaki
and S. Negrepontis.
Abstract: In this paper we extend the block combinatorics partition
theorems of Hindman and Milliken in the setting of the recursive system
of the block Schreier families (B^xi) consisting of families defined for
every countable ordinal xi. Results contain (a) a block partition Ramsey
theorem for every countable ordinal xi (Hindman's theorem corresponding
to xi=1, and Milliken's theorem to xi a finite ordinal), (b) a countable
ordinal form of the block Nash-Williams partition theorem, and (c)
a countable ordinal block partition theorem for sets closed in the
infinite block analogue of Ellentuck's topology.
Archive classification: Combinatorics; Functional Analysis
Mathematics Subject Classification: 05D10; 46B20
Remarks: 26 pages, AMS-LaTeX
The source file(s), fn04.tex: 83752 bytes, is(are) stored in gzipped
form as 0406188.gz with size 20kb. The corresponding postcript file has
gzipped size 98kb.
Submitted from: combs at mail.ma.utexas.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.CO/0406188
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http://arXiv.org/abs/math.CO/0406188
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From alspach Wed Jun 16 18:18:38 2004
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Date: Wed, 16 Jun 2004 18:18:38 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200406162318.i5GNIcs14571 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Konrad J. Swanepoel
Status: R
This is an announcement for the paper "Equilateral sets in
finite-dimensional normed spaces" by Konrad J. Swanepoel.
Abstract: This is an expository paper on the largest size of equilateral
sets in finite-dimensional normed spaces.
Archive classification: Metric Geometry; Functional Analysis
Mathematics Subject Classification: 52A21 (Primary) 46B20, 52C17
(Secondary)
Remarks: 30 pages
The source file(s), equilateral.tex: 94432 bytes, is(are) stored in
gzipped form as 0406264.gz with size 29kb. The corresponding postcript
file has gzipped size 128kb.
Submitted from: swanekj at unisa.ac.za
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From alspach Mon Jun 21 13:05:57 2004
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Date: Mon, 21 Jun 2004 13:05:57 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200406211805.i5LI5vZ24220 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Peter A. Loeb and Erik Talvila
Status: R
This is an announcement for the paper "Lusin's Theorem and Bochner
integration" by Peter A. Loeb and Erik Talvila.
Abstract: It is shown that the approximating functions used to define
the Bochner integral can be formed using geometrically nice sets, such as
balls, from a differentiation basis. Moreover, every appropriate sum of
this form will be within a preassigned $\varepsilon$ of the integral, with
the sum for the local errors also less than $\varepsilon$. All of this
follows from the ubiquity of Lebesgue points, which is a consequence of
Lusin's theorem, for which a simple proof is included in the discussion.
Archive classification: Classical Analysis and ODEs; Functional Analysis
Mathematics Subject Classification: 28A20, 28B05; 26A39
Remarks: To appear in Scientiae Mathematicae Japonicae
The source file(s), bochnerbox.tex: 34366 bytes, is(are) stored in gzipped
form as 0406370.gz with size 11kb. The corresponding postcript file has
gzipped size 52kb.
Submitted from: etalvila at math.ualberta.ca
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.CA/0406370
or
http://arXiv.org/abs/math.CA/0406370
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From alspach Tue Jun 22 14:53:00 2004
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Tue, 22 Jun 2004 14:53:00 -0500
Date: Tue, 22 Jun 2004 14:53:00 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200406221953.i5MJr0c31803 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Artem Zvavitch
Status: R
This is an announcement for the paper "The Busemann-Petty problem for
arbitrary measures" by Artem Zvavitch.
Abstract: The aim of this paper is to study properties of sections of
convex bodies with respect to different types of measures. We present
a formula connecting the Minkowski functional of a convex symmetric
body K with the measure of its sections. We apply this formula to study
properties of general measures most of which were known before only in
the case of the standard Lebesgue measure. We solve an analog of the
Busemann-Petty problem for the case of general measures. In addition,
we show that there are measures, for which the answer to the generalized
Busemann-Petty problem is affirmative in all dimensions. Finally,
we apply the latter fact to prove a number of different inequalities
concerning the volume of sections of convex symmetric bodies in $\R^n$
and solve a version of generalized Busemann-Petty problem for sections
by k-dimensional subspaces.
Archive classification: Metric Geometry; Functional Analysis
Mathematics Subject Classification: 52A15, 52A21, 52A38
The source file(s), GBP_Zvavitch.tex: 44254 bytes, is(are) stored in
gzipped form as 0406406.gz with size 12kb. The corresponding postcript
file has gzipped size 65kb.
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/math.MG/0406406
or
http://arXiv.org/abs/math.MG/0406406
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From alspach Fri Jun 25 11:09:04 2004
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Fri, 25 Jun 2004 11:09:04 -0500
Date: Fri, 25 Jun 2004 11:09:04 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200406251609.i5PG94406518 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Valentin Ferenczi and Eloi Medina Galego
Status: R
This is an announcement for the paper "Some equivalence relations which
are Borel reducible to isomorphism between separable Banach spaces"
by Valentin Ferenczi and Eloi Medina Galego.
Abstract: We improve the known results about the complexity of the
relation of isomorphism between separable Banach spaces up to Borel
reducibility, and we achieve this using the classical spaces $c_0$,
$\ell_p$ and $L_p$, $1 \leq p <2$. More precisely, we show that
the relation $E_{K_{\sigma}}$ is Borel reducible to isomorphism and
complemented biembeddability between subspaces of $c_0$ or $\ell_p,
1 \leq p <2$. We show that the relation $E_{K_{\sigma}} \otimes =^+$
is Borel reducible to isomorphism, complemented biembeddability, and
Lipschitz equivalence between subspaces of $L_p, 1 \leq p <2$.
Archive classification: Functional Analysis; Logic
Mathematics Subject Classification: 03E15; 46B03
Remarks: 22 pages; 2 figures
The source file(s), sjm16.tex: 74499 bytes, is(are) stored in gzipped
form as 0406477.gz with size 22kb. The corresponding postcript file has
gzipped size 86kb.
Submitted from: eloi at ime.usp.br
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0406477
or
http://arXiv.org/abs/math.FA/0406477
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From alspach Fri Jun 25 11:09:58 2004
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Fri, 25 Jun 2004 11:09:53 -0500
Date: Fri, 25 Jun 2004 11:09:53 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200406251609.i5PG9rD06567 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Valentin Ferenczi and Eloi Medina Galego
Status: R
This is an announcement for the paper "Some results about the
Schroeder-Bernstein Property for separable Banach spaces" by Valentin
Ferenczi and Eloi Medina Galego.
Abstract: We construct a continuum of mutually non-isomorphic separable
Banach spaces which are complemented in each other. Consequently, the
Schroeder-Bernstein Index of any of these spaces is $2^{\aleph_0}$. Our
construction is based on a Banach space introduced by W. T. Gowers
and B. Maurey in 1997. We also use classical descriptive set theory
methods, as in some work of V. Ferenczi and C. Rosendal, to improve some
results of P. G. Casazza and of N. J. Kalton on the Schroeder-Bernstein
Property for spaces with an unconditional finite-dimensional Schauder
decomposition.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B03, 46B20
Remarks: 25 pages
The source file(s), ferenczigalegoSB.tex: 74499 bytes, is(are) stored in
gzipped form as 0406479.gz with size 22kb. The corresponding postcript
file has gzipped size 87kb.
Submitted from: eloi at ime.usp.br
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0406479
or
http://arXiv.org/abs/math.FA/0406479
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From alspach Thu Jul 8 09:01:52 2004
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Thu, 8 Jul 2004 09:01:52 -0500
Date: Thu, 8 Jul 2004 09:01:52 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200407081401.i68E1qO16723 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Christian Rosendal
Status: R
This is an announcement for the paper "Incomparable, non isomorphic and
minimal Banach spaces" by Christian Rosendal.
Abstract: A Banach space contains either a minimal subspace or a
continuum of incomparable subspaces. General structure results for
analytic equivalence relations are applied in the context of Banach
spaces to show that if $E_0$ does not reduce to isomorphism of the
subspaces of a space, in particular, if the subspaces of the space admit
a classification up to isomorphism by real numbers, then any subspace
with an unconditional basis is isomorphic to its square and hyperplanes
and has an isomorphically homogeneous subsequence.
Archive classification: Functional Analysis; Logic
The source file(s), ArchiveIncomparable.tex: 57150 bytes, is(are) stored
in gzipped form as 0407111.gz with size 19kb. The corresponding postcript
file has gzipped size 81kb.
Submitted from: rosendal at ccr.jussieu.fr
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0407111
or
http://arXiv.org/abs/math.FA/0407111
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From alspach Tue Jul 13 07:24:07 2004
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by www.math.okstate.edu (8.11.6/8.8.7) id i6DCO7v26854;
Tue, 13 Jul 2004 07:24:07 -0500
Date: Tue, 13 Jul 2004 07:24:07 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200407131224.i6DCO7v26854 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Jeremy J. Becnel
Status: R
This is an announcement for the paper "About countably-normed spaces"
by Jeremy J. Becnel.
Abstract: Here we present an overview of countably normed spaces. In
particular, we discuss the main topologies---weak, strong, inductive, and
Mackey---placed on the dual of a countably normed spaces and discuss the
sigma fields generated by these topologies. In particlar, we show that the
strong, inductive, and Mackey topologies are equivalent under reasonable
conditions. Also we show that all four topologies induce the same Borel
field under certain conditions. The purpose in mind is to provide the
background material for many of the results used in White Noise Analysis.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46A11
Remarks: 23 pages, 0 figures, Background material for White Noise Analysis
The source file(s), NuclearSpace.bbl: 1198 bytes, NuclearSpace.tex:
1472 bytes, borel.tex: 5271 bytes, cns.tex: 16479 bytes, compare.tex:
6600 bytes, conclusion.tex: 4430 bytes, inductive.tex: 6567 bytes,
nuclear.sty: 4578 bytes, strong.tex: 17400 bytes, tvs.tex: 14418 bytes,
weak.tex: 3536 bytes, is(are) stored in gzipped form as 0407200.tar.gz
with size 23kb. The corresponding postcript file has gzipped size 103kb.
Submitted from: beck at math.lsu.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0407200
or
http://arXiv.org/abs/math.FA/0407200
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From alspach Wed Jul 14 10:11:39 2004
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Wed, 14 Jul 2004 10:11:39 -0500
Date: Wed, 14 Jul 2004 10:11:39 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200407141511.i6EFBdg02274 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Stanislaw Szarek
Status: R
This is an announcement for the paper "The volume of separable states
is super-doubly-exponentially small" by Stanislaw Szarek.
Abstract: In this note we give sharp estimates on the volume of the set
of separable states on N qubits. In particular, the magnitude of the
"effective radius" of that set in the sense of volume is determined up
to a factor which is a (small) power of N, and thus precisely on the
scale of powers of its dimension. Additionally, one of the appendices
contains sharp estimates (by known methods) for the expected values of
norms of the GUE random matrices. We employ standard tools of classical
convexity, high-dimensional probability and geometry of Banach spaces.
Archive classification: Quantum Physics; Functional Analysis
Remarks: 20 p., LATEX; an expanded version of the original submission:
more background material from convexity and geometry of Banach spaces, more
exhaustive bibliography and improved quality of references to the
bibliography
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/quant-ph/0310061
or
http://arXiv.org/abs/quant-ph/0310061
or by email in unzipped form by transmitting an empty message with
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From alspach Thu Jul 15 07:10:59 2004
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Thu, 15 Jul 2004 07:10:59 -0500
Date: Thu, 15 Jul 2004 07:10:59 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200407151210.i6FCAxo08836 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by S. Artstein, V. Milman, and S. J. Szarek
Status: R
This is an announcement for the paper "Duality of metric entropy" by
S. Artstein, V. Milman, and S. J. Szarek.
Abstract: For two convex bodies K and T in $R^n$, the covering number of K
by T, denoted N(K,T), is defined as the minimal number of translates of T
needed to cover K. Let us denote by $K^o$ the polar body of K and by D the
euclidean unit ball in $R^n$. We prove that the two functions of t, N(K,tD)
and N(D, tK^o), are equivalent in the appropriate sense, uniformly
over symmetric convex bodies K in $R^n$ and over positive integers n. In
particular, this verifies the duality conjecture for entropy numbers
of linear operators, posed by Pietsch in 1972, in the central case when
either the domain or the range of the operator is a Hilbert space.
Archive classification: Functional Analysis; Metric Geometry
Mathematics Subject Classification: 46B10; 47A05; 52C17; 51F99
Remarks: 17 p., LATEX
The source file(s), ArtMilSzaAoM.tex: 40692 bytes, is(are) stored in
gzipped form as 0407236.gz with size 14kb. The corresponding postcript
file has gzipped size 68kb.
Submitted from: szarek at cwru.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0407236
or
http://arXiv.org/abs/math.FA/0407236
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From alspach Thu Jul 15 07:12:37 2004
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Thu, 15 Jul 2004 07:12:37 -0500
Date: Thu, 15 Jul 2004 07:12:37 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200407151212.i6FCCb608886 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by S. Artstein, V. Milman, S. J. Szarek, and N. Tomczak-Jaegermann
Status: R
This is an announcement for the paper "On convexified packing
and entropy duality" by S. Artstein, V. Milman, S. J. Szarek, and
N. Tomczak-Jaegermann.
Abstract: For a compact operator acting between two Banach spaces,
a 1972 duality conjecture due to Pietsch asserts that its entropy
numbers and those of its adjoint are equivalent. This is equivalent
to a dimension-free inequality relating covering (or packing) numbers
for convex bodies to those of their polars. The duality conjecture has
been recently proved (see math.FA/0407236) in the central case when one
of the Banach spaces is Hilbertian, which - in the geometric setting -
corresponds to a duality result for symmetric convex bodies in Euclidean
spaces. In the present paper we define a new notion of "convexified
packing," show a duality theorem for that notion, and use it to prove the
duality conjecture under much milder conditions on the spaces involved
(namely, that one of them is K-convex).
Archive classification: Functional Analysis; Metric Geometry
Mathematics Subject Classification: 46B10; 46B07; 46B50; 47A05; 52C17;
51F99
Remarks: 6 p., LATEX
The source file(s), ConvPackShort5.tex: 21620 bytes, is(are) stored in
gzipped form as 0407238.gz with size 8kb. The corresponding postcript
file has gzipped size 43kb.
Submitted from: szarek at cwru.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0407238
or
http://arXiv.org/abs/math.FA/0407238
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From alspach Thu Jul 15 07:14:39 2004
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Thu, 15 Jul 2004 07:14:39 -0500
Date: Thu, 15 Jul 2004 07:14:39 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200407151214.i6FCEd408935 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Stanislaw J. Szarek, and Nicole Tomczak-Jaegermann
Status: R
This is an announcement for the paper "Saturating constructions for
normed spaces" by Stanislaw J. Szarek and Nicole Tomczak-Jaegermann .
Abstract: We prove several results of the following type: given finite
dimensional normed space V there exists another space X with
log(dim X) = O(log(dim V)) and such that every subspace (or quotient) of X,
whose dimension is not "too small," contains a further subspace isometric
to V. This sheds new light on the structure of such large subspaces or
quotients (resp., large sections or projections of convex bodies) and
allows to solve several problems stated in the 1980s by V. Milman. The
proofs are probabilistic and depend on careful analysis of images of
convex sets under Gaussian linear maps.
Archive classification: Functional Analysis; Probability
Mathematics Subject Classification: 46B20; 52A21; 52A22; 60D05
Remarks: 27 p., LATEX
The source file(s), SzarekTomczakSat1.tex: 71711 bytes, is(are) stored
in gzipped form as 0407233.gz with size 25kb. The corresponding postcript
file has gzipped size 105kb.
Submitted from: szarek at cwru.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0407233
or
http://arXiv.org/abs/math.FA/0407233
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From alspach Thu Jul 15 07:16:46 2004
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Thu, 15 Jul 2004 07:16:46 -0500
Date: Thu, 15 Jul 2004 07:16:46 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200407151216.i6FCGko09002 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Stanislaw J. Szarek and Nicole Tomczak-Jaegermann
Status: R
This is an announcement for the paper "Saturating constructions for
normed spaces II" by Stanislaw J. Szarek and Nicole Tomczak-Jaegermann.
Abstract: We prove several results of the following type: given finite
dimensional normed space V possessing certain geometric property there
exists another space X having the same property and such that
(1) log(dim X) = O(log(dim V)) and (2) every subspace of X, whose dimension
is not "too small," contains a further well-complemented subspace nearly
isometric to V. This sheds new light on the structure of large subspaces
or quotients of normed spaces (resp., large sections or linear images
of convex bodies) and provides definitive solutions to several problems
stated in the 1980s by V. Milman. The proofs are probabilistic and depend
on careful analysis of images of convex sets under Gaussian linear maps.
Archive classification: Functional Analysis; Probability
Mathematics Subject Classification: 46B20; 46B07; 52A21; 52A22; 60D05
Remarks: 35 p., LATEX
The source file(s), SzarekTomczakSat2.tex: 104176 bytes, is(are) stored
in gzipped form as 0407234.gz with size 33kb. The corresponding postcript
file has gzipped size 127kb.
Submitted from: szarek at cwru.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0407234
or
http://arXiv.org/abs/math.FA/0407234
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From alspach Fri Jul 16 08:16:23 2004
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Fri, 16 Jul 2004 08:16:23 -0500
Date: Fri, 16 Jul 2004 08:16:23 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200407161316.i6GDGNc16496 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Julio Becerra-Guerrero and Miguel Martin
Status: R
This is an announcement for the paper "The Daugavet property of
$C^*$-algebras, $JB^*$-triples, and of their isometric preduals"
by Julio Becerra-Guerrero and Miguel Martin.
Abstract: A Banach space $X$ is said to have the Daugavet property if
every rank-one operator $T:X\longrightarrow X$ satisfies $\|Id + T\|
= 1 + \|T\|$. We give geometric characterizations of this property
in the settings of $C^*$-algebras, $JB^*$-triples and their isometric
preduals. We also show that, in these settings, the Daugavet property
passes to ultrapowers, and thus, it is equivalent to an stronger property
called the uniform Daugavet property.
Archive classification: Functional Analysis; Operator Algebras
Mathematics Subject Classification: Primary 17C; 46B04; 46B20; 46L05;
46L70; Secondary 46B22, 46M07
Remarks: 18 pages
The source file(s), BeceMart.tex: 68626 bytes, is(are) stored in gzipped
form as 0407214.gz with size 19kb. The corresponding postcript file has
gzipped size 90kb.
Submitted from: mmartins at ugr.es
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0407214
or
http://arXiv.org/abs/math.FA/0407214
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Subject: [Banach] SUMIRFAS Announcement
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Status: R
ANNOUNCEMENT OF SUMIRFAS 2004
The Informal Regional Functional Analysis Seminar
August 6 - 8
Texas A&M University, College Station
Schedule: Talks for SUMIRFAS will be posted on the Workshop in
Linear Analysis and Probability page, URL
http://www.math.tamu.edu/research/workshops/linanalysis/
Below is a list of speakers, current as of July 18.
The Home Page also contains other information about the Workshop,
including a list of participants and a schedule of seminars.
Housing: Contact Cheryl Williams, (cherylr at math.tamu.edu; 979/845-9424,
office; 979/ 845-6028, fax) for help with housing. Please tell Cheryl the
type of accommodation you desire (smoking or nonsmoking).
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 Cheryl to book your room,
please tell her if you are requesting support.
Dinner: There will be a dinner at 6:30 p.m. on Saturday, August 7, at
Imperial Chinese Restaurant, 2232 S. Texas Ave. in College Station. The
cost for the subsidized dinner is $15 per person for faculty and
accompanying
persons and $10 per person for student participants. Please tell Cheryl
Dorn if
you (and spouse or companion, if applicable) will attend. Checks should be
made out to Math. Dept., TAMU.
** DINNER RESERVATIONS SHOULD BE MADE BY August 2
and PAYMENT MADE BY August 6. **
W. Johnson, johnson at math.tamu.edu
K. Dykema, kdykema at math.tamu.edu
D. Larson, larson at math.tamu.edu
G. Pisier,pisier at math.tamu.edu
J. Zinn, jzinn at math.tamu.edu
SUMIRFAS talks (as of July 18)
Hari Bercovici, A classical proof of a conformal mapping theorem derived
from free probability theory
Uffe Haagerup, Random Matrices and C*-algebras
Alexander Koldobsky, Intersection bodies and $L_p$-spaces
Michael Lacey, Hankel Operators and Product BMO
Narutaka Ozawa, New progress in the classification of group von Neumann
algebras
Assaf Naor, Markov chains in metric spaces and the Lipschitz extension
problem
Stanislaw Szarek, (not yet confirmed)
_______________________________________________
Banach mailing list
Banach at math.okstate.edu
http://mail.math.okstate.edu:8080/mailman/listinfo/banach
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Date: Fri, 23 Jul 2004 08:24:04 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200407231324.i6NDO4c08996 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by David Kerr and Hanfeng Li
Status: R
This is an announcement for the paper "Dynamical entropy in Banach spaces"
by David Kerr and Hanfeng Li.
Abstract: We introduce a version of Voiculescu-Brown approximation
entropy for isometric automorphisms of Banach spaces and develop within
this framework the connection between dynamics and the local theory of
Banach spaces discovered by Glasner and Weiss. Our fundamental result
concerning this contractive approximation entropy, or CA entropy,
characterizes the occurrence of positive values both geometrically
and topologically. This leads to various applications; for example,
we obtain a geometric description of the topological Pinsker factor and
show that a C*-algebra is type I if and only if every multiplier inner
*-automorphism has zero CA entropy. We also examine the behaviour of
CA entropy under various product constructions and determine its value
in many examples, including isometric automorphisms of l_p spaces and
noncommutative tensor product shifts.
Archive classification: Functional Analysis; Dynamical Systems; Operator
Algebras
Remarks: 40 pages; subsumes the material from math.DS/0303161
The source file(s), CA13.tex: 144163 bytes, is(are) stored in gzipped
form as 0407386.gz with size 41kb. The corresponding postcript file has
gzipped size 162kb.
Submitted from: kerr at math.uni-muenster.de
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0407386
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Date: Tue, 27 Jul 2004 10:54:00 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200407271554.i6RFs0u12969 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Vladimir Pestov
Status: R
This is an announcement for the paper "Oscillation stability of the
Urysohn metric space" by Vladimir Pestov.
Abstract: We outline general concepts of oscillation stability and
distortion for spaces with action of a topological transformation group,
and survey a number of examples. We observe that the universal Urysohn
metric space $\U$ (viewed as a homogeneous factor-space of its group of
isometries) is oscillation stable, that is, for every bounded uniformly
continuous function $f\colon\U\to\R$ and each $\e>0$ there is an isometric
copy $\U^\prime\subset\U$ of $\U$, such that $f\vert_{\U^\prime}$ is
constant to within $\e$. This stands in marked contrast to the unit sphere
$\s^\infty$ of the Hilbert space $\ell^2$, which is a universal analogue
of $\U$ in the class of spherical metric spaces, but has the distortion
property according to a well-known result by Odell and Schlumprecht.
Archive classification: Functional Analysis
Mathematics Subject Classification: 05C55; 22F30; 43A85; 46B20; 54E35;
54H15
Remarks: 10 pages, LaTeX 2e
The source file(s), osc.tex: 48054 bytes, is(are) stored in gzipped
form as 0407444.gz with size 16kb. The corresponding postcript file has
gzipped size 63kb.
Submitted from: vpest283 at uottawa.ca
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0407444
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http://arXiv.org/abs/math.FA/0407444
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Subject: [Banach] SUMIRFAS schedule
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Status: R
Below is the tentative schedule for SUMIRFAS 2004. The final schedule
will be posted on the Workshop in Linear Analysis and Probability page:
http://www.math.tamu.edu/research/workshops/linanalysis/
The Home Page also contains other information about the Workshop,
including a list of participants and a schedule of seminars.
Housing: Contact Cheryl Williams, cherylr at math.tamu.edu, or Mary Chapman,
mary at math.tamu.edu, (979/845-3621, office; 979/ 845-6028, fax) for help
with housing. Please specify the type of accommodation
you desire (smoking or nonsmoking), which night(s) you need the room,
and roommate preference, if applicable.
We expect to be able to cover housing, possibly in a double room,
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 Cheryl or Mary to book your room, please
let them know if you are requesting support. Rooms in CS are tight the
weekend of SUMIRFAS, so please act ASAP.
Dinner: There will be a dinner at 6:30 p.m. on Saturday, August 7th,
at Imperial Chinese Restaurant,, 2232 S. Texas Ave. College Station.
The cost for the subsidized dinner is $15 per person for faculty and $10
per person for students. Please tell Cheryl Williams or Mary Chapman,
if you (and spouse or companion, if applicable) will attend.
Checks should be made out to Math Dept., TAMU.
** DINNER RESERVATIONS SHOULD BE MADE BY August 2nd and
PAYMENT MADE BY August 6th. **
Friday, August 6 Blocker 120
1:00-1:30 Coffee, Blocker 112
1:30-2:30 Uffe Haagerup, Random matrices and C*-algebras.
2:40-3:40 Taka Ozawa, New progress in the classification of group von
Neumann algebras.
3:40-4:00 Coffee, Blocker 112
4:00-4:40 Andras Zsak, The lattice of closed ideals of a dual Banach
space.
4:50-5:20 Hun Hee Lee, OH-type and OH-cotype of operator spaces and
completely summing maps.
Saturday, August 7 Blocker 120
9:00-9:30 Coffee & Donuts, Blocker 112
9:30-10:30 Michael Lacey, Hankel operators and product BMO.
10:40-11:40 Assaf Naor, Markov chains in metric spaces and the Lipschitz
extension problem.
11:50-12:20
12:20-1:40 Lunch
1:40-2:40 Hari Bercovici, A classical proof of a conformal mapping
theorem derived from free probability theory.
2:50-3:50 Alexander Koldobsky, Intersection bodies and $L_p$-spaces.
3:50-4:20 Coffee, Blocker 112
4:30-5:00 Vlad Yaskin, Busemann-Petty problem in hyperbolic and
spherical spaces.
5:10-5:40 Masayoshi Kaneda, Extreme points of the unit ball of a
quasi-multiplier space
6:30- Dinner at Imperial Chinese Restaurant, 2232 S. Texas Ave.
Sunday, August 8 Blocker 120
9:30-10:00 Coffee & Donuts, Blocker 112
10:00-11:00 Stephen Semmes, Happy fractals.
11:10-12:10 Staszek Szarek, Questions in convexity and geometry of Banach
spaces related to quantum information theory.
12:20-12:50 George Androulakis, Embedding L_infinity into the space of
all operators on certain Banach spaces.
_______________________________________________
Banach mailing list
Banach at math.okstate.edu
http://mail.math.okstate.edu:8080/mailman/listinfo/banach
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Date: Thu, 29 Jul 2004 08:48:37 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200407291348.i6TDmbL27107 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by J\"org Wenzel
Status: R
This is an announcement for the paper "The UMD constants of the summation
operators" by J\"org Wenzel.
Abstract: The UMD property of a Banach space is one of the most useful
properties when one thinks about possible applications. This is in
particular due to the boundedness of the vector-valued Hilbert transform
for functions with values in such a space.
Looking at operators instead of at spaces, it is easy to check that the
summation operator does not have the UMD property. The actual asymptotic
behavior however of the UMD constants computed with martingales of length
n is unknown.
We explain, why it would be important to know this behavior, rephrase
the
problem of finding these UMD constants and give some evidence of how
they behave asymptotically.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B07 (Primary); 46B03, 46B09, 47B10
(Secondary)
Remarks: 22 pages
The source file(s), umd_sumop.arxiv.tex: 64167 bytes, is(are) stored in
gzipped form as 0407481.gz with size 18kb. The corresponding postcript
file has gzipped size 85kb.
Submitted from: wenzel at minet.uni-jena.de
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Date: Thu, 29 Jul 2004 08:49:17 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200407291349.i6TDnHn27156 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by J\"org Wenzel
Status: R
This is an announcement for the paper "Strong martingale type and uniform
smoothness" by J\"org Wenzel.
Abstract: We introduce stronger versions of the usual notions of
martingale type p <= 2 and cotype q >= 2 of a Banach space X and show that
these concepts are equivalent to uniform p-smoothness and q-convexity,
respectively. All these are metric concepts, so they depend on the
particular norm in X.
These concepts allow us to get some more insight into the fine line
between X
being isomorphic to a uniformly p-smooth space or being uniformly
p-smooth itself.
Instead of looking at Banach spaces, we consider linear operators
between
Banach spaces right away. The situation of a Banach space X can be
rediscovered from this by considering the identity map of X.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B04 (Primary); 46B20, 47A63
(Secondary)
Remarks: 11 pages
The source file(s), strong.arxiv.tex: 30219 bytes, is(are) stored in
gzipped form as 0407482.gz with size 8kb. The corresponding postcript
file has gzipped size 56kb.
Submitted from: wenzel at minet.uni-jena.de
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0407482
or
http://arXiv.org/abs/math.FA/0407482
or by email in unzipped form by transmitting an empty message with
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From alspach Mon Aug 2 07:33:02 2004
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Date: Mon, 2 Aug 2004 07:33:02 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200408021233.i72CX2m30604 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by J. R. Lee and A. Naor
Status: R
This is an announcement for the paper "Embedding the diamond graph in
$L_p$ and dimension reduction in $L_1$" by J. R. Lee and A. Naor.
Abstract: We show that any embedding of the level-k diamond graph of
Newman and Rabinovich into $L_p$, $1 < p \le 2$, requires distortion at
least $\sqrt{k(p-1) + 1}$. An immediate consequence is that there exist
arbitrarily large n-point sets $X \subseteq L_1$ such that any D-embedding
of X into $\ell_1^d$ requires $d \geq n^{\Omega(1/D^2)}$. This gives a
simple proof of the recent result of Brinkman and Charikar which settles
the long standing question of whether there is an $L_1$ analogue of the
Johnson-Lindenstrauss dimension reduction lemma.
Archive classification: Functional Analysis; Combinatorics; Metric
Geometry
Remarks: 3 pages. To appear in Geometric and Functional Analysis (GAFA)
The source file(s), diamond-gafa.tex: 8222 bytes, is(are) stored in
gzipped form as 0407520.gz with size 3kb. The corresponding postcript
file has gzipped size 31kb.
Submitted from: jrl at cs.berkeley.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0407520
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Date: Tue, 3 Aug 2004 07:12:56 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200408031212.i73CCuj05539 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Steven F. Bellenot
Status: R
This is an announcement for the paper "Skipped blocking and other
decompositions in Banach spaces" by Steven F. Bellenot.
Abstract: Necessary and sufficient conditions are given for when a
sequence of finite dimensional subspaces (X_n) can be blocked to be a
skipped blocking decompositon (SBD). The condition is order independent,
so permutations of conditional basis, for example can be so blocked. This
condition is implied if (X_n) is shrinking, or (X_n) is a permutation
of a FDD, or if X is reflexive and (X_n) is separating. A separable
space X has PCP, if and only if, every norming decomposition (X_n) can
be blocked to be a boundedly complete SBD. Every boundedly complete
SBD is a JT-decomposition.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B20 (Primary); 46B15, 46B22
(Secondary)
Report Number: FSU04-11
Remarks: 11 pages, 0 figures
The source file(s), skipB.tex: 42550 bytes, is(are) stored in gzipped
form as 0408004.gz with size 13kb. The corresponding postcript file has
gzipped size 65kb.
Submitted from: bellenot at math.fsu.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0408004
or
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From alspach Thu Sep 9 13:54:23 2004
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Date: Thu, 9 Sep 2004 13:54:23 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200409091854.i89IsNm26932 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Narcisse Randrianantoanina
Status: R
This is an announcement for the paper "A weak-type inequality
for non-commutative martingales and applications" by Narcisse
Randrianantoanina.
Abstract: We prove a weak-type (1,1) inequality for square functions
of non-commutative martingales that are simultaneously bounded in $L^2$
and $L^1$.
More precisely, the following non-commutative analogue of a classical
result
of
Burkholder holds:
there exists an absolute constant $K>0$ such that if $\cal{M}$ is a
semi-finite von Neumann algebra and $(\cal{M}_n)^{\infty}_{n=1}$ is
an increasing filtration of von Neumann subalgebras of $\cal{M}$
then for any given martingale $x=(x_n)^{\infty}_{n=1}$
that is bounded in $L^2(\cal{M})\cap L^1(\cal{M})$,
adapted to $(\cal{M}_n)^{\infty}_{n=1}$, there exist two
\underline{martingale difference} sequences, $a=(a_n)_{n=1}^\infty$ and
$b=(b_n)_{n=1}^\infty$, with $dx_n = a_n + b_n$ for every $n\geq 1$, \[
\left\| \left(\sum^\infty_{n=1} a_n^*a_n \right)^{{1}/{2}}\right\|_{2}
+ \left\| \left(\sum^\infty_{n=1} b_nb_n^*\right)^{1/2}\right\|_{2} \leq
2\left\| x \right\|_2, \] and \[ \left\| \left(\sum^\infty_{n=1} a_n^*a_n
\right)^{{1}/{2}}\right\|_{1,\infty} + \left\| \left(\sum^\infty_{n=1}
b_nb_n^*\right)^{1/2}\right\|_{1,\infty} \leq K\left\| x \right\|_1. \]
As an application, we obtain the optimal orders of growth for the
constants
involved in the Pisier-Xu non-commutative analogue of the classical
Burkholder-Gundy inequalities.
Archive classification: Functional Analysis; Operator Algebras
Mathematics Subject Classification: 46L53, 46L52
Remarks: 38 pages
The source file(s), weaktype4.tex: 108231 bytes, is(are) stored in gzipped
form as 0409139.gz with size 30kb. The corresponding postcript file has
gzipped size 137kb.
Submitted from: randrin at muohio.edu
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http://front.math.ucdavis.edu/math.FA/0409139
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From: ledoux at math.ups-tlse.fr (Michel Ledoux)
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Subject: [Banach] announcement Winter School, Toulouse 2005
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Status: R
Dear colleagues,
would it be possible to announce on the Banach Bulletin Board
the second announcement (below) of the Winter School on
Probabilistic Methods in High Dimension Phenomena? Many thanks
in advance for your help.
Sincerely yours.
M. Ledoux
-----------------------------------------------------------------------------
Second Announcement of the Winter School on
PROBABILISTIC METHODS IN HIGH DIMENSION PHENOMENA
Toulouse, January 10-14, 2005
The school will provide young as well as expert scientists with
the recent probabilistic tools developed for the investigation
of high-dimensional systems. It is part of the European Network
"Phenomena in High Dimension". It will be composed of the
following five courses:
I.Benjamini (Rehovot) ``Random walks and Percolation on graphs''
C.Borell (Goteborg) ``Minkowski sums in Gaussian analysis''
K.Johansson (Stockholm) ``Determinantal Processes in Random Matrix Theory''
G.Lugosi (Barcelona) ``Concentration of Functions of Independent Random
Variables''
R.Schneider (Freiburg) ``Convexity in Stochastic Geometry''
It is now time for participants:
* to registrate:
we had some technical problems with the online registration engine.
So we ask you to registrate (to REGISTRATE AGAIN if you already did
it through the online form) by sending an email to our secretary
Mrs Michel
michel at lsp.ups-tlse.fr,
specifying your NAME, your AFFILIATION, ADDRESS and DATES of
attendance.
* and to prepare their travel and accomodation plans:
The expenses of the members of the PHD network are supported by
their nodes (but it is likely that universities have to pay in
advance and the RTN will reimburse when it is operating).
We hope that we will have some money left to partially cover
the expenses of participants not belonging to the network.
Priority will be given to PHD Students and Post-Docs.
If you need such support, please mention it in the registration
email to Mrs Michel.
More information is available on the conference Webpage
http://www.lsp.ups-tlse.fr/Proba_Winter_School/
It has been updated and contains new pieces of information about
* abstracts of the courses
* accomodation: The list of hotels has been completed. Economical options
have been added. In particular we have made a temporary
reservation for a very limited number of rooms on the campus
for 22 Euros per night. These rooms can be booked by
sending an email to Mrs Michel (michel at lesp.ups-tlse.fr).
Sincerely,
F. Barthe
M. Ledoux
------------------------------------------------------------------------------
Institut de Mathematiques - Universite Paul Sabatier - Toulouse III
118 route de Narbonne - 31062 Toulouse Cedex 4 - FRANCE.
__________________________________________________________________________
Michel Ledoux ledoux at math.ups-tlse.fr
Institut de Mathematiques Tel : (+33) 561 55 85 74
Universite de Toulouse Fax : (+33) 561 55 60 89
F-31062 Toulouse, France http://www.lsp.ups-tlse.fr/Ledoux/
_______________________________________________
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From alspach Mon Oct 4 08:48:48 2004
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Date: Mon, 4 Oct 2004 08:48:48 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
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To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Boaz Klartag and Roman Vershynin
Status: R
This is an announcement for the paper "Small ball probability and
Dvoretzky theorem" by Bo'az Klartag and Roman Vershynin.
Abstract: Large deviation estimates are by now a standard tool inthe
Asymptotic Convex Geometry, contrary to small deviationresults. In this
note we present a novel application of a smalldeviations inequality to a
problem related to the diameters of random sections of high dimensional
convex bodies. Our results imply an unexpected distinction between the
lower and the upper inclusions in Dvoretzky Theorem.
Archive classification: Functional Analysis; Probability
Mathematics Subject Classification: 46B07; 60F10
The source file(s), diameters.tex: 30564 bytes, is(are) stored in gzipped
form as 0410001.gz with size 10kb. The corresponding postcript file has
gzipped size 49kb.
Submitted from: vershynin at math.ucdavis.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0410001
or
http://arXiv.org/abs/math.FA/0410001
or by email in unzipped form by transmitting an empty message with
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uget 0410001
or in gzipped form by using subject line
get 0410001
to: math at arXiv.org.
From banach-bounces at math.okstate.edu Mon Oct 4 13:44:41 2004
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From: Dale Alspach <alspach at math.okstate.edu>
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Subject: [Banach] Positions at Case
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Status: R
(This announcement, with additional active hyperlinks, is also accessible via
http://www.case.edu/artsci/dean/searches/ )
The Department of Mathematics in the College of Arts and Sciences at
Case Western Reserve University in Cleveland, Ohio, invites
applications for one or more tenure-track appointments. Open rank,
but appointment at the rank of assistant professor is strongly
preferred. We especially emphasize coordination with Department,
College and University goals, including undergraduate teaching in the
University's new SAGES (Seminar Approach to General Education and
Scholarship) program. Areas of preference identified to complement
existing department activities include:
(1) Functional analysis, convexity theory, and related
high-dimensional phenomena, the area that recently has been often
referred to as "asymptotic geometric analysis" and of which members
of the Department are internationally recognized leaders. See
http://www.cwru.edu/artsci/math/szarek/ and
http://www.cwru.edu/artsci/math/werner/ for examples of recent
research directions. Besides hires that would directly augment this
research, the Department envisions expanding into related areas of
non-commutative geometry/functional analysis or even theoretical
computer science or complexity theory.
(2) Numerical analysis with concomitant scientific computing,
especially numerical differential equations and applications and
numerical optimization. The department has activity both in
theoretical and applied numerical analysis. Recent research has
involved numerical methods for inverse problems, structured
eigenvalue computations, iterative methods for linear systems. The
Department's faculty in this area have active collaborations with
researchers in other units at the University, including medical and
engineering, and in the greater Cleveland area. The successful
candidate will be primarily a mathematician, but will be interested
in cross-disciplinary opportunities.
(3) Mathematical biology. Case is a major center of biological and
medical research, and synergetic activities are expected. In
conjunction with ongoing initiatives in the Department of Biology,
the School of Medicine and the School of Engineering, the Department
of Mathematics seeks to develop its research activities in
mathematical biology. Some current faculty have existing
collaborations with members of the School of Medicine, and some
graduate students are supported, via these collaborations, by the
School of Medicine. A faculty member is a PI on a multi-year
NIH-funded Center for Modeling Integrated Metabolic Systems (MIMS),
centered in the Department of Biomedical Engineering. The Department
of Biology has recently hired a theoretical ecologist and more
coordination between the departments in the area of computational
biology is expected. The successful candidate will be primarily a
mathematician, but will be interested in cross-disciplinary
opportunities.
Notwithstanding the above, (4) exceptionally strong candidates in
other areas will be considered. Depending on needs, (5) visiting
positions/instructorships/lectureships may also be open. Indicate in
which area you wish to be considered. The successful candidate will
hold the Ph.D. or equivalent (Masters for lectureship) and have,
relative to career stage, a distinguished record of publication,
research, service, and teaching. Compensation commensurate with
qualifications.
Case is an integral part of one of the major research medical
complexes in the country. It also has a major presence in various
science and engineering disciplines. Geographically, it is located on
the eastern edge of Cleveland, in northeast Ohio, adjacent to
University Circle, home to the Cleveland Symphony Orchestra, the
Cleveland Museum of Art, and many other cultural institutions. There
is a wide variety of housing, schooling, and other amenities nearby.
The Department has approximately 20 faculty, with several focused
research areas. The Department is responsible for service (beginning
with calculus), majors, and graduate instruction. Nominal teaching
load is 2/2. The Department has a dedicated 8 CPU computational
server with an SGI 3D graphics front end. Facilities of the Ohio
Supercomputer Center are also available.
Electronic applications only, to: James Alexander,
math-faculty-position at case.edu, consisting of a letter of
application, which indicates in which area of preference you wish to
be considered, AMS cover sheet, a c.v., and the names and contact
information for four referees to whom we may write. Evaluation of
applications will begin December 15, 2004. Case is a recipient of a
National Science Foundation ADVANCE institutional transformation
grant to increase the participation of women in science and
engineering. Case Western Reserve University is committed to
diversity and is an affirmative action, equal opportunity employer.
Applications from women or minorities are especially encouraged.
_______________________________________________
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Date: Tue, 5 Oct 2004 13:08:30 +0000
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Subject: [Banach] openings at AUI
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Status: R
The School of Science and Engineering at AlAkhawayn University in Ifrane
has openings for faculty positions in Computer Science and in Mathematics
for Spring and Fall 2005.
Mathematics applicants would be expected to teach mainly engineering
mathematics courses within the undergraduate program. All undergraduate
engineering students take core courses and a minor in mathematics
consisting of 6 courses covering Discrete Mathematics, Calculus, Linear
Algebra, Differential Equations and Probability. Mathematics courses are
taught with an emphasis toward engineering applications.
Successful candidates are expected to perform some combination of teaching
at undergraduate and/or graduate levels, applied research, and supervision
of undergraduate/graduate student projects. The normal teaching expectation
in the school is nine hours per week during regular Fall and Spring
semesters, as well as summers when needed. We have a small class size,
with an average between 25 and 30, and a maximum of 40 per section.
Rank and salary is commensurate with qualifications and experience. Salary
offers are determined based on a standard grid linked to rank, with a
number of additional allowances possible. The very low cost of living in
our area means that monetary amounts are low compared to other locations,
although relatively we are competitive. Benefits offered include a housing
allowance and inclusion in the comprehensive Moroccan health insurance
program.
Interested candidates are encouraged to send letter of application, vita,
and references by email to vpaa at alakhawayn.ma, or by post to:
Vice President for Academic Affairs
Al Akhawayn University in Ifrane
PO. Box 104
Ifrane 53000
Morocco
_______________________________________________
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Date: Thu, 07 Oct 2004 07:25:53 -0700
From: George Anastassiou <ganastss at memphis.edu>
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Subject: [Banach] JAFA
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Status: R
CALL FOR HIGH QUALITY PAPERS NEW
JOURNAL OF APPLIED FUNCTIONAL ANALYSIS(JAFA)
A quarterly International publication of NOVA Publishing Corporation of
NY,USA.
Editor in Chief:George Anastassiou
Department of Mathematical Sciences
The University of Memphis
Memphis,TN 38152,USA
E mail:
ganastss at memphis.edu
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The main purpose of the “Journal of Applied Functional Analysis”(JAFA)
is to publish high quality original research articles,survey articles
and book reviews from all subareas of Applied Functional Analysis in the
broadest form plus from its applications and its connections to other
topics of Mathematical Sciences.A sample list of connected mathematical
areas with this publication includes but is not restricted to:
Approximation Theory,Inequalities,Probability in Analysis,Wavelet
Theory,Neural
Networks,Fractional Analysis,Applied Functional Analysis and
Applications,Signal
Theory,Computational Real and Complex Analysis and Measure
Theory,Sampling
Theory,Semigroups of Operators,Positive Operators,ODEs,PDEs,Difference
Equations,
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of all kinds,Operator Theory,Control Theory,Banach Spaces,Evolution
Equations,
Information Theory,Numerical Analysis,Stochastics,Applied Fourier
Analysis,Matrix
Theory,Mathematical Physics,Mathematical Geophysics,Fluid
Dynamics,Quantum Theory,Interpolation in all forms,Computer Aided
Geometric Design,Algorithms,
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Functional Analysis,Variational Inequalities,Nonlinear Ergodic
Theory,Functional Equations,
Function Spaces,Harmonic Analysis,Extrapolation Theory,Fourier
Analysis,Inverse
Problems,Operator Equations,Image Processing,Nonlinear
Operators,Stochastic
Processes,Mathematical Finance and Economics,Special
Functions,Quadrature,
Orthogonal Polynomials,Asymptotics,Symbolic and Umbral Calculus,Integral
and Discrete Transforms,
Chaos and Bifurcation,Nonlinear Dynamics,Solid Machanics,Functional
Calculus,
Chebyshev Systems.Also are included combinations of the above topics.
Working with Applied Functional Analysis Methods has become a main trend
in many
recent years,so we can understand better and deeper and solve important
problems of
our real and scientific world.
JAFA is a peer-reviewed International Quartely Journal published by NOVA
SCIENCE
Publ.Co. of NY -USA.
We are calling for high quality papers for possible publication.The
contributor should send four copies of the contribution to the MANAGING
EDITOR in TEX,LATEX double spaced.They should be sent ONLY REGULAR
MAIL,NOT REGISTERED MAIL,NO E-MAIL SUBMISSIONS[See:Instructions to
Contributors in
http://www.msci.memphis.edu/~anastasg/jafa/scope.htm
.]
HONORARY EDITOR:P.L.Butzer (Aachen,Germany)
ASSOCIATE
EDITORS:F.Altomare(Bari,Italy),A.Alvino(Napoli,Italy),I.Argyros
(Cameron.U,USA),C.Badea(U.Lille,France),E.Balder(Utrecht,Holland),H.Begehr
(Berlin,Germany),F.Bombal(Madrid,Spain),M.Campiti(Lecce,Italy),D.Candeloro
(Perugia,Italy),P.Cerone(Melbourne,Australia),M.Dodson(York,UK),S.Dragomir
(Melbourne,Australia),P.Ferreira(Aveiro,Portugal),G.Goldstein(Memphis,USA),
J.Goldstein(Memphis,USA),H.Gonska(Duisburg,Germany),K.Groechenig(GSF-
Neuherberg,Germany),T.X.He(Bloomington,USA),D.Hong(E.Tennesse St.
U,USA),H.Jongen(Aachen,Germany),N.Karayannis(Houston,USA),T.Kilgore(Auburn,USA),J.K.Kim(Masan
Kyungnam,Korea),M.Krbec(Praha,Czech Republic),P.Maass
(Bremen,Germany),J.Musielak(Poznan,Poland),P.Papini(Bologna,Italy),
S.Rachev(Karlsruhe,Germany and UC Santa
Barbara,USA),P.Ricci(Rome,Italy),
S.Romanelli(Bari,Italy),B.Shekhtman(Tampa,USA),P.Siafaricas(Patras,Greece),
R.Stens(Aachen,Germany),J.Trujillo(Tenerife,Spain),
T.Vashakmadze(Tbilisi,Georgia),R.Verma(Toledo,USA),G.Vinti(Perugia,Italy),
U.Westphal(Hannover,Germany),R.Yager(Iona
College,NY),R.Zalik(Auburn,USA).
--
George A. Anastassiou,Ph.D
Professor of Mathematics
Department of Mathematical Sciences
The University of Memphis,Memphis,TN 38152,USA
Editor-In-Chief JoCAAA, JCAAM ;World Sci.Publ.Book Series:
Concrete & Applicable Math.
Springer Consultant-Editor in computational math books
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NOVA MATH books ADVISOR
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From alspach Tue Oct 12 14:28:47 2004
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Tue, 12 Oct 2004 14:28:47 -0500
Date: Tue, 12 Oct 2004 14:28:47 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200410121928.i9CJSlY21185 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Marius Junge and Magdalena Musat
Status: R
This is an announcement for the paper "A noncommutative version of the
John-Nirenberg theorem" by Marius Junge and Magdalena Musat.
Abstract: We prove a noncommutative version of the John-Nirenberg theorem
for nontracial filtrations of von Neumann algebras. As an application,
we obtain an analogue of the classical large deviation inequality for
elements of the associated $BMO$ space.
Archive classification: Functional Analysis; Operator Algebras
Remarks: 35 pages
The source file(s), jnir3.tex: 96625 bytes, is(are) stored in gzipped
form as 0410121.gz with size 29kb. The corresponding postcript file has
gzipped size 134kb.
Submitted from: mmusat at math.ucsd.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0410121
or
http://arXiv.org/abs/math.FA/0410121
or by email in unzipped form by transmitting an empty message with
subject line
uget 0410121
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From alspach Tue Oct 12 14:29:52 2004
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Date: Tue, 12 Oct 2004 14:29:52 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200410121929.i9CJTq021258 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Jesus M. F. Castillo and Yolanda Moreno
Status: R
This is an announcement for the paper "Extensions by spaces of continuous
functions" by Jesus M. F. Castillo and Yolanda Moreno.
Abstract: We characterize the Banach spaces X such that Ext(X, C(K))=0
for every compact space.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B03; 46B07
Remarks: 9 pages
The source file(s), ECK.tex: 28947 bytes, is(are) stored in gzipped
form as 0410256.gz with size 10kb. The corresponding postcript file has
gzipped size 48kb.
Submitted from: castillo at unex.es
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0410256
or
http://arXiv.org/abs/math.FA/0410256
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From alspach Wed Oct 20 07:51:50 2004
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Wed, 20 Oct 2004 07:51:50 -0500
Date: Wed, 20 Oct 2004 07:51:50 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200410201251.i9KCpon30093 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Wojciech Czaja
Status: R
This is an announcement for the paper "Remarks on Naimark's duality"
by Wojciech Czaja.
Abstract: We present an extension of Naimark's duality principle which
states that complete systems in a Hilbert space are projections of
$\omega$-linearly independent systems of elements of an ambient Hilbert
space. This result is presented in the context of other known extensions
of Naimark's theorem.
Archive classification: Functional Analysis
Mathematics Subject Classification: 42C40
The source file(s), rnd_4.tex: 15949 bytes, is(are) stored in gzipped
form as 0410348.gz with size 5kb. The corresponding postcript file has
gzipped size 36kb.
Submitted from: czaja at math.uni.wroc.pl
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0410348
or
http://arXiv.org/abs/math.FA/0410348
or by email in unzipped form by transmitting an empty message with
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uget 0410348
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From alspach Wed Oct 20 07:52:54 2004
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Wed, 20 Oct 2004 07:52:53 -0500
Date: Wed, 20 Oct 2004 07:52:53 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200410201252.i9KCqr230142 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Assaf Naor, Yuval Peres, Oded Schramm and Scott Sheffield
Status: R
This is an announcement for the paper "Markov chains in smooth Banach
spaces and Gromov hyperbolic metric spaces" by Assaf Naor, Yuval Peres,
Oded Schramm and Scott Sheffield.
Abstract: A metric space $X$ has {\em Markov type\/} $2$, if for
any reversible finite-state Markov chain $\{Z_t\}$ (with $Z_0$ chosen
according to the stationary distribution) and any map $f$ from the state
space to $X$, the distance $D_t$ from $f(Z_0)$ to $f(Z_t)$ satisfies
$\E(D_t^2) \le K^2\, t\, \E(D_1^2)$ for some $K=K(X)<\infty$. This
notion is due to K.\,Ball (1992), who showed its importance for the
Lipschitz extension problem. However until now, only Hilbert space (and
its bi-Lipschitz equivalents) were known to have Markov type 2. We show
that every Banach space with modulus of smoothness of power type $2$ (in
particular, $L_p$ for $p>2$) has Markov type $2$; this proves a conjecture
of Ball. We also show that trees, hyperbolic groups and simply connected
Riemannian manifolds of pinched negative curvature have Markov type
$2$. Our results are applied to settle several conjectures on Lipschitz
extensions and embeddings. In particular, we answer a question posed by
Johnson and Lindenstrauss in 1982, by showing that for $1<q<2<p<\infty$,
any Lipschitz mapping from a subset of $L_p$ to $L_q$ has a Lipschitz
extension defined on all of $L_p$.
Archive classification: Functional Analysis; Probability
Mathematics Subject Classification: 46B99 (primary), 60B99 (secondary)
Remarks: 27 pages
The source file(s), Mtype.tex: 95789 bytes, lang.fig: 18215 bytes,
lang.pstex: 17247 bytes, lang.pstex_t: 859 bytes, is(are) stored
in gzipped form as 0410422.tar.gz with size 38kb. The corresponding
postcript file has gzipped size 129kb.
Submitted from: anaor at microsoft.com
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0410422
or
http://arXiv.org/abs/math.FA/0410422
or by email in unzipped form by transmitting an empty message with
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uget 0410422
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From alspach Wed Oct 20 07:53:58 2004
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Wed, 20 Oct 2004 07:53:58 -0500
Date: Wed, 20 Oct 2004 07:53:58 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200410201253.i9KCrw730191 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by W. B. Johnson and N. L. Randrianarivony
Status: R
This is an announcement for the paper "$\ell_p$ (p>2) does not coarsely
embed into a Hilbert space" by W. B. Johnson and N. L. Randrianarivony.
Abstract: A coarse embedding of a metric space X into a metric space Y
is a map f: X-->Y satisfying for every x, y in X:
\phi_1(d(x,y)) \leq d(f(x),f(y)) \leq \phi_2(d(x,y)) where \phi_1 and
\phi_2 are nondecreasing functions on [0,\infty) with values
in [0,\infty), with the condition that \phi_1(t) tends to \infty as t
tends to \infty.
We show that \ell_p does not coarsely embed in a Hilbert space for
2<p<\infty.
Archive classification: Functional Analysis
Remarks: 10 pages
The source file(s), coarselpl2.9.tex: 14916 bytes, is(are) stored in
gzipped form as 0410427.gz with size 5kb. The corresponding postcript
file has gzipped size 36kb.
Submitted from: nirina at math.tamu.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0410427
or
http://arXiv.org/abs/math.FA/0410427
or by email in unzipped form by transmitting an empty message with
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uget 0410427
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From alspach Wed Oct 27 08:57:01 2004
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Wed, 27 Oct 2004 08:57:01 -0500
Date: Wed, 27 Oct 2004 08:57:01 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200410271357.i9RDv1l10491 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by A.Koldobsky, V.Yaskin and M.Yaskina
Status: R
This is an announcement for the paper "Modified Busemann-Petty problem
on sections of convex bodies" by A.Koldobsky, V.Yaskin and M.Yaskina.
Abstract: The Busemann-Petty problem asks whether origin-symmetric
convex bodies in $\mathbb{R}^n$ with smaller central hyperplane sections
necessarily have smaller $n$-dimensional volume. It is known that the
answer is affirmative if $n\le 4$ and negative if $n\ge 5$. In this
article we modify the assumptions of the original Busemann-Petty problem
to guarantee the affirmative answer in all dimensions.
Archive classification: Functional Analysis
Mathematics Subject Classification: 52Axx
Remarks: 17 pages
The source file(s), modBP.tex: 33931 bytes, is(are) stored in gzipped
form as 0410496.gz with size 10kb. The corresponding postcript file has
gzipped size 64kb.
Submitted from: yaskinv at math.missouri.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0410496
or
http://arXiv.org/abs/math.FA/0410496
or by email in unzipped form by transmitting an empty message with
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uget 0410496
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From alspach Wed Oct 27 08:57:41 2004
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Wed, 27 Oct 2004 08:57:41 -0500
Date: Wed, 27 Oct 2004 08:57:41 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200410271357.i9RDvfn10541 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by V.Yaskin
Status: R
This is an announcement for the paper "The Busemann-Petty problem in
hyperbolic and spherical spaces" by V.Yaskin.
Abstract: The Busemann-Petty problem asks whether origin-symmetric
convex bodies in $\mathbb{R}^n$ with smaller central hyperplane sections
necessarily have smaller $n$-dimensional volume. It is known that the
answer to this problem is affirmative if $n\le 4$ and negative if $n\ge
5$. We study this problem in hyperbolic and spherical spaces.
Archive classification: Functional Analysis
Mathematics Subject Classification: 52Axx
Remarks: 16 pages, 2 figures
The source file(s), HyperbolicBP.tex: 38485 bytes, pic02.eps: 9386
bytes, picForVlad2.eps: 3824 bytes, is(are) stored in gzipped form as
0410501.tar.gz with size 15kb. The corresponding postcript file has
gzipped size 68kb.
Submitted from: yaskinv at math.missouri.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0410501
or
http://arXiv.org/abs/math.FA/0410501
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From: Dale Alspach <alspach at math.okstate.edu>
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Status: R
CHAIR IN PURE MATHEMATICS AT LANCASTER UNIVERSITY
Broad field: Pure Mathematics
Duration: Indefinite
Position: Professor
Institution: Department of Mathematics and Statistics, Lancaster University
Starting date: 1.4.05 (or preferably before 1.9.05)
Area(s) preferred: Analysis
Contact person(s): Professor S.C. Power, s.power at lancaster.ac.uk
Application deadline: 7.1.05
Other comments: Job reference number A374
Full details: Personnel Services, Lancaster University
Telephone: (01524) 846549
WWW: http://www.personnel.lancs.ac.uk/vacancydets.aspx?jobid=A374
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From alspach Fri Nov 5 08:41:38 2004
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Fri, 5 Nov 2004 08:41:38 -0600
Date: Fri, 5 Nov 2004 08:41:38 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200411051441.iA5EfcL24589 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by S. A. Argyros, J. Lopez-Abad and S. Todorcevic
Status: R
This is an announcement for the paper "A class of Banach spaces with
few non strictly singular operators" by S. A. Argyros, J. Lopez-Abad
and S. Todorcevic.
Abstract: We construct a family $(\mathcal{X}_\al)_{\al\le \omega_1}$
of reflexive Banach spaces with long transfinite bases but with no
unconditional basic sequences. In our spaces $\mathcal{X}_\al$ every
bounded operator $T$ is split into its diagonal part $D_T$ and its
strictly singular part $S_T$.
Archive classification: Functional Analysis; Logic
Mathematics Subject Classification: 46B20; 03E05
Remarks: 52 pages, 1 figure
The source file(s), om1hi.tex: 254359 bytes, om1hi1.eps: 181035 bytes,
is(are) stored in gzipped form as 0312522.tar.gz with size 117kb. The
corresponding postcript file has gzipped size 333kb.
Submitted from: jlopez at crm.es
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0312522
or
http://arXiv.org/abs/math.FA/0312522
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uget 0312522
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From alspach Fri Nov 5 08:42:27 2004
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Fri, 5 Nov 2004 08:42:27 -0600
Date: Fri, 5 Nov 2004 08:42:27 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200411051442.iA5EgRD24638 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Ravi Montenegro
Status: R
This is an announcement for the paper "A sharp isoperimetric bound for
convex bodies" by Ravi Montenegro.
Abstract: We consider the problem of lower bounding a generalized
Minkowski measure of subsets of a convex body with a log-concave
probability measure, conditioned on the set size. A bound is given
in terms of diameter and set size, which is sharp for all set sizes,
dimensions, and norms. In the case of uniform density a stronger theorem
is shown which is also sharp.
Archive classification: Functional Analysis; Metric Geometry; Probability
Mathematics Subject Classification: 52A40
The source file(s), iso.bbl: 1295 bytes, iso.tex: 41335 bytes, is(are)
stored in gzipped form as 0411018.tar.gz with size 14kb. The corresponding
postcript file has gzipped size 52kb.
Submitted from: monteneg at yahoo.com
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0411018
or
http://arXiv.org/abs/math.FA/0411018
or by email in unzipped form by transmitting an empty message with
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uget 0411018
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From alspach Mon Nov 8 08:19:28 2004
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Date: Mon, 8 Nov 2004 08:19:28 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200411081419.iA8EJSt21544 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Michael Megrelishvili
Status: R
This is an announcement for the paper "Fragmentability and representations
of flows" by Michael Megrelishvili.
Abstract: Our aim is to study weak star continuous representations of
semigroup actions into the duals of ``good'' (e.g., reflexive and Asplund)
Banach spaces. This approach leads to flow analogs of Eberlein and
Radon-Nikodym compacta and a new class of functions (Asplund functions)
which intimately is connected with Asplund representations and includes
the class of weakly almost periodic functions.
We show that a flow is weakly almost periodic iff it admits sufficiently
many
reflexive representations.
One of the main technical tools in this paper is the concept of
fragmentability (which actually comes from Namioka and Phelps) and
widespreadly used in topological aspects of Banach space theory.
We explore fragmentability as ``a generalized equicontinuity'' of
flows. This
unified approach allows us to obtain several dynamical applications. We
generalize and strengthen some results of Akin-Auslander-Berg,
Shtern, Veech-Troallic-Auslander and Hansel-Troallic. We establish that
frequently, for linear G-actions, weak and strong topologies coincide on,
not necessarily closed, G-minimal subsets. For instance such actions are
``orbitwise Kadec``.
Archive classification: Functional Analysis; General Topology
Mathematics Subject Classification: 54H15; 43A60
Citation: Topology Proceedings, 27:2, 2003, 497-544
Remarks: 30 pages
The source file(s), RN.tex: 154972 bytes, diagrams.tex: 116119 bytes,
is(are) stored in gzipped form as 0411112.tar.gz with size 82kb. The
corresponding postcript file has gzipped size 129kb.
Submitted from: megereli at math.biu.ac.il
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0411112
or
http://arXiv.org/abs/math.FA/0411112
or by email in unzipped form by transmitting an empty message with
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uget 0411112
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to: math at arXiv.org.
From alspach Fri Nov 12 09:14:09 2004
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Date: Fri, 12 Nov 2004 09:14:09 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
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To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Guoliang Yu
Status: R
This is an announcement for the paper "Hyperbolic groups admit proper
affine isometric actions on $l^p$-spaces" by Guoliang Yu.
Abstract: In this paper, we show that hyperbolic groups admit proper
affine isometric actions on $l^p$-spaces.
Archive classification: Group Theory; Operator Algebras
Remarks: 10 pages (to appear in GAFA)
The source file(s), hyplp.tex: 17579 bytes, is(are) stored in gzipped
form as 0411234.gz with size 6kb. The corresponding postcript file has
gzipped size 37kb.
Submitted from: gyu at math.vanderbilt.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.GR/0411234
or
http://arXiv.org/abs/math.GR/0411234
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From alspach Fri Nov 12 09:15:17 2004
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Date: Fri, 12 Nov 2004 09:15:17 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200411121515.iACFFHK20060 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by N. L. Randrianarivony
Status: R
This is an announcement for the paper "Characterization of
quasi-Banach spaces which coarsely embed into a Hilbert space" by
N. L. Randrianarivony.
Abstract: A map f between two metric spaces (X,d_1) and (Y,d_2) is called
a coarse embedding of X into Y if there exist two nondecreasing functions
phi_1, phi_2:[0,\infty) --> [0,\infty) such that:
phi_1(d_1(x,y)) \leq d_2(f(x),f(y)) \leq phi_2(d_1(x,y)) for all x, y in
X, and phi_1(t) tends to \infty as t tends to \infty. We characterize
those quasi-Banach spaces that have a coarse embedding into a
Hilbert space.
Archive classification: Functional Analysis; Metric Geometry
Remarks: 3 pages
The source file(s), LovaGenAMM.4.tex: 6257 bytes, is(are) stored in
gzipped form as 0411269.gz with size 3kb. The corresponding postcript
file has gzipped size 25kb.
Submitted from: nirina at math.tamu.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0411269
or
http://arXiv.org/abs/math.FA/0411269
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From: Dale Alspach <alspach at math.okstate.edu>
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Subject: [Banach] Winter School, Toulouse 2005
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Status: R
Second Announcement of the Winter School on
PROBABILISTIC METHODS IN HIGH DIMENSION PHENOMENA
Toulouse, January 10-14, 2005
The school will provide young as well as expert scientists with
the recent probabilistic tools developed for the investigation
of high-dimensional systems. It is part of the European Network
"Phenomena in High Dimension". It will be composed of the
following five courses:
I.Benjamini (Rehovot) ``Random walks and Percolation on graphs''
C.Borell (Goteborg) ``Minkowski sums in Gaussian analysis''
K.Johansson (Stockholm) ``Determinantal Processes in Random Matrix Theory''
G.Lugosi (Barcelona) ``Concentration of Functions of Independent Random
Variables''
R.Schneider (Freiburg) ``Convexity in Stochastic Geometry''
It is now time for participants:
* to registrate:
we had some technical problems with the online registration engine.
So we ask you to registrate (to REGISTRATE AGAIN if you already did
it through the online form) by sending an email to our secretary
Mrs Michel
michel at lsp.ups-tlse.fr,
specifying your NAME, your AFFILIATION, ADDRESS and DATES of
attendance.
* and to prepare their travel and accomodation plans:
The expenses of the members of the PHD network are supported by
their nodes (but it is likely that universities have to pay in
advance and the RTN will reimburse when it is operating).
We hope that we will have some money left to partially cover
the expenses of participants not belonging to the network.
Priority will be given to PHD Students and Post-Docs.
If you need such support, please mention it in the registration
email to Mrs Michel.
More information is available on the conference Webpage
http://www.lsp.ups-tlse.fr/Proba_Winter_School/
It has been updated and contains new pieces of information about
* abstracts of the courses
* accomodation: The list of hotels has been completed. Economical options
have been added. In particular we have made a temporary
reservation for a very limited number of rooms on the campus
for 22 Euros per night. These rooms can be booked by
sending an email to Mrs Michel (michel at lesp.ups-tlse.fr).
Sincerely,
F. Barthe
M. Ledoux
- ------------------------------------------------------------------------------
Institut de Mathematiques - Universite Paul Sabatier - Toulouse III
118 route de Narbonne - 31062 Toulouse Cedex 4 - FRANCE.
__________________________________________________________________________
Michel Ledoux ledoux at math.ups-tlse.fr
Institut de Mathematiques Tel : (+33) 561 55 85 74
Universite de Toulouse Fax : (+33) 561 55 60 89
F-31062 Toulouse, France http://www.lsp.ups-tlse.fr/Ledoux/
_______________________________________________
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From banach-bounces at math.okstate.edu Wed Nov 24 15:17:35 2004
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From: "Krzysztof Jarosz" <kjarosz at siue.edu>
To: <banach at math.okstate.edu>
Date: Tue, 23 Nov 2004 15:24:52 -0600
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Subject: [Banach] Announcement: V Conference on Function Spaces
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Status: R
Conference Announcement:
"Function Spaces V"
May 14-19, 2006,
Southern Illinois University Edwardsville
Topics: Function algebras, Banach algebras, spaces and algebras of analytic
functions, Lp spaces, geometry of Banach spaces, isometries of function
spaces, and related problems.
For more information including funding, principal speakers, registration,
travel & housing, and local information please check:
http://www.siue.edu/MATH/conference2006/
Or contact:
Krzysztof Jarosz
Department of Mathematics & Statistics
SIUE
Edwardsville, Illinois 62026-1653, USA
kjarosz at siue.edu
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From alspach Wed Dec 1 13:29:05 2004
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Date: Wed, 1 Dec 2004 13:29:05 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200412011929.iB1JT5m27972 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Miguel Martin
Status: R
This is an announcement for the paper "The alternative Daugavet property
of $C^*$-algebras and $JB^*$-triples" by Miguel Martin.
Abstract: A Banach space $X$ is said to have the alternative
Daugavet property if for every (bounded and linear) rank-one operator
$T:X\longrightarrow X$ there exists a modulus one scalar $\omega$ such
that $\|Id + \omega T\|= 1 + \|T\|$. We give geometric characterizations
of this property in the setting of $C^*$-algebras, $JB^*$-triples and
their isometric preduals.
Archive classification: Functional Analysis; Operator Algebras
Mathematics Subject Classification: 46B20, 46L05, 17C65 (primary); 47A12
(secondary)
The source file(s), Martin-ADP.tex: 44541 bytes, is(are) stored in gzipped
form as 0411555.gz with size 14kb. The corresponding postcript file has
gzipped size 69kb.
Submitted from: mmartins at ugr.es
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0411555
or
http://arXiv.org/abs/math.FA/0411555
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uget 0411555
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From alspach at www.math.okstate.edu Tue Dec 21 11:02:20 2004
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Date: Tue, 21 Dec 2004 11:02:20 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200412211702.iBLH2K1U018093 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by N.J.Kalton, A.Koldobsky, V.Yaskin and M.Yaskina
Status: R
This is an announcement for the paper "The geometry of $L_0$" by
N.J.Kalton, A.Koldobsky, V.Yaskin and M.Yaskina.
Abstract: Suppose that we have the unit Euclidean ball in $\R^n$ and
construct new bodies using three operations - linear transformations,
closure in the radial metric and multiplicative summation defined by
$\|x\|_{K+_0L} = \sqrt{\|x\|_K\|x\|_L}.$ We prove that in dimension 3
this procedure gives all origin symmetric convex bodies, while this is
no longer true in dimensions 4 and higher. We introduce the concept
of embedding of a normed space in $L_0$ that naturally extends the
corresponding properties of $L_p$-spaces with $p\ne0$, and show that
the procedure described above gives exactly the unit balls of subspaces
of $L_0$ in every dimension. We provide Fourier analytic and geometric
characterizations of spaces embedding in $L_0$, and prove several facts
confirming the place of $L_0$ in the scale of $L_p$-spaces.
Archive classification: Functional Analysis; Metric Geometry
Mathematics Subject Classification: 46B20, 52Axx
Remarks: 21 pages
The source file(s), lzero.tex: 51885 bytes, is(are) stored in gzipped
form as 0412371.gz with size 15kb. The corresponding postcript file has
gzipped size 80kb.
Submitted from: yaskinv at math.missouri.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0412371
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From alspach at www.math.okstate.edu Wed Dec 22 09:10:54 2004
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Date: Wed, 22 Dec 2004 09:10:54 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200412221510.iBMFAsj7028844 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Ioannis Gasparis
Status: R
This is an announcement for the paper "Operators on \(C[0,1]\) preserving
copies of asymptotic \(\ell_1\) spaces" by Ioannis Gasparis.
Abstract: It is shown that every operator on \(C[0,1]\) which preserves
a copy of an asymptotic \(\ell_1\) space, also preserves a copy of
\(C[0,1]\).
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B03
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form as 0412426.gz with size 20kb. The corresponding postcript file has
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Submitted from: ioagaspa at math.auth.gr
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http://front.math.ucdavis.edu/math.FA/0412426
or
http://arXiv.org/abs/math.FA/0412426
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