Messages from 2003
These are the messages distributed to the Banach list during 2003.
From alspach Wed Jan 8 15:05:36 2003
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 h08L5ak12347;
Wed, 8 Jan 2003 15:05:36 -0600
Date: Wed, 8 Jan 2003 15:05:36 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200301082105.h08L5ak12347 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.B. Aleksandrov and V.V. Peller
Status: R
This is an announcement for the paper "Distorted Hankel integral
operators" by A.B. Aleksandrov and V.V. Peller.
Abstract: For $\a,\b>0$ and for a locally integrable function (or,
more generally, a distribution) $\f$ on $(0,\be)$, we study integral
ooperators ${\frak G}^{\a,\b}_\f$ on $L^2(\R_+)$ defined by $\big({\frak
G}^{\a,\b}_\f f\big)(x)=\int_{\R_+}\f\big(x^\a+y^\b\big)f(y)dy$. We
describe the bounded and compact operators ${\frak G}^{\a,\b}_\f$
and operators ${\frak G}^{\a,\b}_\f$ of Schatten--von Neumann class
$\bS_p$. We also study continuity properties of the averaging
projection $\Q_{\a,\b}$ onto the operators of the form ${\frak
G}^{\a,\b}_\f$. In particular, we show that if $\a\le\b$ and $\b>1$,
then ${\frak G}^{\a,\b}_\f$ is bounded on $\bS_p$ if and only if
$2\b(\b+1)^{-1}<p<2\b(\b-1)^{-1}$.
Archive classification: Functional Analysis; Classical Analysis and ODEs;
Combinatorics;
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0212293
or
http://arXiv.org/abs/math.FA/0212293
or by email in unzipped form by transmitting an empty message with
subject line
uget 0212293
or in gzipped form by using subject line
get 0212293
to: math at arXiv.org.
From alspach Wed Jan 22 11:54:47 2003
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 h0MHslZ10422;
Wed, 22 Jan 2003 11:54:47 -0600
Date: Wed, 22 Jan 2003 11:54:47 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200301221754.h0MHslZ10422 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 Kadets and Dirk Werner
Status: R
This is an announcement for the paper "A Banach space with the Schur
and the Daugavet property" by Vladimir Kadets and Dirk Werner.
Abstract: We show that a minor refinement of the Bourgain-Rosenthal
construction of a Banach space without the Radon-Nikodym property which
contains no bounded $\delta$-trees yields a space with the Daugavet
property and the Schur property. Using this example we answer some open
questions on the structure of such spaces; in particular we show that
the Daugavet property is not inherited by ultraproducts.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B04; 46B20; 46M07
Remarks: 10 pages
The source file(s), dauga10.tex: 30038 bytes, is(are) stored in gzipped
form as 0301182.gz with size 10kb. The corresponding postcript file has
gzipped size 53kb.
Submitted from: werner at math.fu-berlin.de
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0301182
or
http://arXiv.org/abs/math.FA/0301182
or by email in unzipped form by transmitting an empty message with
subject line
uget 0301182
or in gzipped form by using subject line
get 0301182
to: math at arXiv.org.
From alspach Fri Jan 31 16:00:39 2003
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 h0VM0d515964;
Fri, 31 Jan 2003 16:00:39 -0600
Date: Fri, 31 Jan 2003 16:00:39 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200301312200.h0VM0d515964 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 G. Troitsky
Status: R
This is an announcement for the paper "Minimal vectors in arbitrary
Banach spaces" by Vladimir G. Troitsky.
Abstract: We extend the method of minimal vectors to arbitrary
Banach spaces. It is proved, by a variant of the method, that certain
quasinilpotent operators on arbitrary Banach spaces have hyperinvariant
subspaces.
Archive classification: Functional Analysis
Remarks: 6 pages. To appear in Proc. Amer. Math. Soc
The source file(s), minimal_vectors.tex: 14942 bytes, is(are) stored in
gzipped form as 0301269.gz with size 6kb. The corresponding postcript
file has gzipped size 38kb.
Submitted from: vtroitsky at math.ualberta.ca
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0301269
or
http://arXiv.org/abs/math.FA/0301269
or by email in unzipped form by transmitting an empty message with
subject line
uget 0301269
or in gzipped form by using subject line
get 0301269
to: math at arXiv.org.
From alspach Fri Jan 31 16:01:33 2003
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 h0VM1XL16010;
Fri, 31 Jan 2003 16:01:33 -0600
Date: Fri, 31 Jan 2003 16:01:33 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200301312201.h0VM1XL16010 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Gideon Schechtman
Status: R
This is an announcement for the paper "Special orthogonal splittings of
$L_1^{2k}" by Gideon Schechtman.
Abstract: We show that for each positive integer $k$ there is a
$k\times k$ matrix $B$ with $\pm 1$ entries such that letting $K_1$ be
the symmetric convex hull of the rows of $B$ and $K_2$ the symmetric
convex hull of $\sqrt{k}$ times the canonical unit vector basis of
$\R^k$ ($=\sqrt{k}B_1^k$), then $K_1\cap K_2$ lies between two universal
multiples of the Euclidean unit ball, $B_2^k$. Moreover, the probability
that a random $\pm 1$ matrix satisfies the above is exponentially close
to $1$. \hfill\break It follows that, putting $E$ to be the span of
the rows of the $k\times 2k$ matrix $[\sqrt{k}I_k,B]$, then, with high
probability over $k\times k$ matrices $B$ with independent $\pm 1$
entries, $E,E^{\bot}$ is a Kashin splitting: The $L_1^{2k}$ and the
$L_2^{2k}$ are universally equivalent on both $E$ and $E^{\bot}$.
Archive classification: Functional Analysis; Probability Theory
Mathematics Subject Classification: 46B07
The source file(s), kashinJan22_03.tex: 26433 bytes, is(are) stored in
gzipped form as 0301275.gz with size 9kb. The corresponding postcript
file has gzipped size 53kb.
Submitted from: gideon at wisdom.weizmann.ac.il
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0301275
or
http://arXiv.org/abs/math.FA/0301275
or by email in unzipped form by transmitting an empty message with
subject line
uget 0301275
or in gzipped form by using subject line
get 0301275
to: math at arXiv.org.
From alspach at math.okstate.edu Thu Feb 6 08:58:12 2003
Return-Path: <owner-banach at mail.math.okstate.edu>
Received: from mail.math.okstate.edu (mail.math.okstate.edu [139.78.112.5])
by ms417l.math.okstate.edu (8.11.6/8.8.7) with ESMTP id h15NOdI09816
for <alspach at ms417l.math.okstate.edu>; Wed, 5 Feb 2003 17:24:39 -0600
Received: from mail.math.okstate.edu (localhost [127.0.0.1])
by mail.math.okstate.edu (8.12.6/8.12.6) with ESMTP id h15Mucfi008583
for <banach-list at mail.math.okstate.edu>; Wed, 5 Feb 2003 16:56:38 -0600 (CST)
Received: (from majordom at localhost)
by mail.math.okstate.edu (8.12.6/8.12.6/Submit) id h15Muc6h017687
for banach-list; Wed, 5 Feb 2003 16:56:38 -0600 (CST)
X-Authentication-Warning: mail.math.okstate.edu: majordom set sender to owner-banach at mail.math.okstate.edu using -f
Received: from ms417l.math.okstate.edu (ms417l.math.okstate.edu [139.78.112.67])
by mail.math.okstate.edu (8.12.6/8.12.6) with ESMTP id h15Mubfi014882
for <banach at mail.math.okstate.edu>; Wed, 5 Feb 2003 16:56:37 -0600 (CST)
Received: from ms417l.math.okstate.edu (alspach at localhost)
by ms417l.math.okstate.edu (8.11.6/8.8.7) with ESMTP id h15Msww09521
for <banach at mail.math.okstate.edu>; Wed, 5 Feb 2003 16:54:58 -0600
Message-Id: <200302052254.h15Msww09521 at ms417l.math.okstate.edu>
To: banach at mail.math.okstate.edu
Subject: Informal Analysis Seminar at Kent State
Date: Wed, 05 Feb 2003 16:54:58 -0600
From: Dale Alspach <alspach at math.okstate.edu>
X-RAVMilter-Version: 8.4.2(snapshot 20021218) (mail.math.okstate.edu)
Sender: owner-banach at math.okstate.edu
Precedence: bulk
Despite numerous requests, we are proud to announce the next
INFORMAL ANALYSIS SEMINAR
KENT STATE UNIVERSITY
SATURDAY, FEBRUARY 8, 2003
Speakers:
Bernard Beauzamy, SCM in Paris- The use of probabilities in
real life problems
Boris Korenblum, SUNY at Albany - Invariant Subspaces of the Bergman
Space Generated by Singular Inner Functions with Atomic Measures
Mikael Lindstrom, Abo Akademi University (Finland) - Homomorphisms on
Uniform Algebras and fixed points
Joel Shapiro, Michigan State University - Hardy spaces that support no
compact composition operators.
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.
R. Aron, J. Diestel, P. Enflo, V. Gurariy, V. Lomonosov, A. Tonge
From alspach Thu Feb 6 14:54:42 2003
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 h16Ksgb29938;
Thu, 6 Feb 2003 14:54:42 -0600
Date: Thu, 6 Feb 2003 14:54:42 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200302062054.h16Ksgb29938 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Beata Randrianantoanina
Status: R
This is an announcement for the paper "On the structure of level sets
of uniform and Lipschitz quotient mappings from ${\mathbb{R}}^n$
to ${\mathbb{R}}$" by Beata Randrianantoanina.
Abstract: We study two questions posed by Johnson, Lindenstrauss, Preiss,
and Schechtman, concerning the structure of level sets of uniform and
Lipschitz quotient maps from $R^n\to R$. We show that if $f:R^n\to R$,
$n\geq 2$, is a uniform quotient map then for every $t\in R$, $f^{-1}(t)$
has a bounded number of components, each component of $f^{-1}(t)$
separates $R^n$ and the upper bound of the number of components depends
only on $n$ and the moduli of co-uniform and uniform continuity of
$f$. Next we obtain a characterization of the form of any closed,
hereditarily locally connected, locally compact, connected set with no
end points and containing no simple closed curve, and we apply it to
describe the structure of level sets of co-Lipschitz uniformly continuous
mappings $f:R^2\to R$. We prove that all level sets of any co-Lipschitz
uniformly continuous map from $R^2$ to $R$ are locally connected, and we
show that for every pair of a constant $c>0$ and a function $\Omega$ with
$\lim_{r\to 0}\Omega(r)=0$, there exists a natural number $M=M(c,\Omega)$,
so that for every co-Lipschitz uniformly continuous map $f:R^2\to R$ with
a co-Lipschitz constant $c$ and a modulus of uniform continuity $\Omega$,
there exists a natural number $n(f)\le M$ and a finite set $T_f\subset
R$ with $\card(T_f)\leq n(f)-1$ so that for all $t\in R\setminus T_f$,
$f^{-1}(t)$ has exactly $n(f)$ components, $R^2\setminus f^{-1}(t)$
has exactly $n(f)+1$ components and each component of $f^{-1}(t)$ is
homeomorphic with the real line and separates the plane into exactly 2
components. The number and form of components of $f^{-1}(s)$ for $s\in
T_f$ are also described - they have a finite graph structure. We give an
example of a uniform quotient map from $R^2\to R$ which has non-locally
connected level sets.
Archive classification: Functional Analysis; General Topology
Mathematics Subject Classification: 46T99,54F50,54E15,57N05
Remarks: 34 pages, 10 figures
The source file(s), levelsets.tex: 111628 bytes, is(are) stored in gzipped
form as 0301367.gz with size 31kb. The corresponding postcript file has
gzipped size 161kb.
Submitted from: randrib at muohio.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0301367
or
http://arXiv.org/abs/math.FA/0301367
or by email in unzipped form by transmitting an empty message with
subject line
uget 0301367
or in gzipped form by using subject line
get 0301367
to: math at arXiv.org.
From alspach at math.okstate.edu Thu Feb 6 15:19:30 2003
Return-Path: owner-banach at mail.math.okstate.edu
Delivery-Date: Thu, 06 Feb 2003 15:16:11 -0600
Return-Path: <owner-banach at mail.math.okstate.edu>
Received: from mail.math.okstate.edu (mail.math.okstate.edu [139.78.112.5])
by ms417l.math.okstate.edu (8.11.6/8.8.7) with ESMTP id h16LGBI20743
for <alspach at ms417l.math.okstate.edu>; Thu, 6 Feb 2003 15:16:11 -0600
Received: from mail.math.okstate.edu (localhost [127.0.0.1])
by mail.math.okstate.edu (8.12.6/8.12.6) with ESMTP id h16KeJfi007427
for <banach-list at mail.math.okstate.edu>; Thu, 6 Feb 2003 14:40:19 -0600 (CST)
Received: (from majordom at localhost)
by mail.math.okstate.edu (8.12.6/8.12.6/Submit) id h16KeJJD001936
for banach-list; Thu, 6 Feb 2003 14:40:19 -0600 (CST)
X-Authentication-Warning: mail.math.okstate.edu: majordom set sender to owner-banach at mail.math.okstate.edu using -f
Received: from ms417l.math.okstate.edu (ms417l.math.okstate.edu [139.78.112.67])
by mail.math.okstate.edu (8.12.6/8.12.6) with ESMTP id h16KeIfi032733
for <banach at mail.math.okstate.edu>; Thu, 6 Feb 2003 14:40:18 -0600 (CST)
Received: from ms417l.math.okstate.edu (alspach at localhost)
by ms417l.math.okstate.edu (8.11.6/8.8.7) with ESMTP id h16KcXs20373
for <banach at mail.math.okstate.edu>; Thu, 6 Feb 2003 14:38:33 -0600
Message-Id: <200302062038.h16KcXs20373 at ms417l.math.okstate.edu>
X-Mailer: exmh version 2.4 06/23/2000 with nmh-1.0.4
To: banach at mail.math.okstate.edu
Subject: Yuri Abramovich
Mime-Version: 1.0
Content-Type: text/plain; charset=us-ascii
Date: Thu, 06 Feb 2003 14:38:33 -0600
From: Dale Alspach <alspach at math.okstate.edu>
X-RAVMilter-Version: 8.4.2(snapshot 20021218) (mail.math.okstate.edu)
Sender: owner-banach at math.okstate.edu
Precedence: bulk
Dear Colleagues:
It is with great sadness that I regret to
inform you that my lifelong friend and closest
collaborator Yuri Abramovich passed away
last night after a long battle with cancer.
With my best regards,
Roko Aliprantis
**********************************************************************
It is with the deepest sorrow that I inform you of the untimely passing of
our dear colleague and friend Yuri Abramovich. Last night, on February
5, at 9:45 PM in the IU Hospital, surrounded by his family, doctors
and friends, Yuri succumbed to Multiple Myeloma, a terrible disease
that he has been battling with for the past four years. Our heart-felt
condolences to his wife, Alla, and his two daughters, Julia and Jane.
The memorial service for Yuri will be held at the Indianapolis Hebrew
Congregation (IHC), located a t 6501 N. Meridian St., Indianapolis, IN,
on Sunday February 9, 2003 at 2:30 p.m. Memorial Arrangements are being
handled by Aaron-Ruben-Nelson Mortuary.
In memory of Yuri, the Department has established the Yuri Abramovich
Memorial Scholarship. Memorial contributions to this scholarship fund may
be made to the IUPUI Department of Mathematical Sciences.
Ben Boukai
*******************************************
Benzion Boukai, Chair
Department of Mathematical Sciences, IUPUI
402 N. Blackford Street
Indianapolis, IN 46202
TEL: 317-274-6920
FAX: 317-274-3460
boukai at math.iupui.edu
*******************************************
From alspach at math.okstate.edu Tue Mar 4 11:28:29 2003
Return-Path: owner-banach at mail.math.okstate.edu
Delivery-Date: Tue, 04 Mar 2003 09:57:35 -0600
Return-Path: <owner-banach at mail.math.okstate.edu>
Received: from mail.math.okstate.edu (mail.math.okstate.edu [139.78.112.5])
by ms417l.math.okstate.edu (8.11.6/8.8.7) with ESMTP id h24FvY024178
for <alspach at ms417l.math.okstate.edu>; Tue, 4 Mar 2003 09:57:35 -0600
Received: from mail.math.okstate.edu (localhost [127.0.0.1])
by mail.math.okstate.edu (8.12.6/8.12.6) with ESMTP id h24FEVAn012899
for <banach-list at mail.math.okstate.edu>; Tue, 4 Mar 2003 09:14:31 -0600 (CST)
Received: (from majordom at localhost)
by mail.math.okstate.edu (8.12.6/8.12.6/Submit) id h24FEVoD027453
for banach-list; Tue, 4 Mar 2003 09:14:31 -0600 (CST)
X-Authentication-Warning: mail.math.okstate.edu: majordom set sender to owner-banach at mail.math.okstate.edu using -f
Received: from ms417l.math.okstate.edu (ms417l.math.okstate.edu [139.78.112.67])
by mail.math.okstate.edu (8.12.6/8.12.6) with ESMTP id h24FEVAn018789
for <banach at mail.math.okstate.edu>; Tue, 4 Mar 2003 09:14:31 -0600 (CST)
Received: from ms417l.math.okstate.edu (alspach at localhost)
by ms417l.math.okstate.edu (8.11.6/8.8.7) with ESMTP id h24FD5X24087
for <banach at mail.math.okstate.edu>; Tue, 4 Mar 2003 09:13:05 -0600
Message-Id: <200303041513.h24FD5X24087 at ms417l.math.okstate.edu>
To: banach at mail.math.okstate.edu
Subject: conference announcement
Date: Tue, 04 Mar 2003 09:13:05 -0600
From: Dale Alspach <alspach at math.okstate.edu>
X-RAVMilter-Version: 8.4.2(snapshot 20021218) (mail.math.okstate.edu)
Sender: owner-banach at math.okstate.edu
Precedence: bulk
***************************************************************
FUNCTION SPACES AND OPERATOR THEORY
Summer school in JOENSUU, FINLAND
May 19th-23rd, 2003
***************************************************************
Main lectures by
OSCAR BLASCO (University of Valencia):
Vector valued Bergman spaces
HANS JARCHOW (University of Zurich):
Embeddings induced by planar Carleson measures.
ALOIS KUFNER (Charles University):
Some function spaces and their applications to PDE.
IGOR VERBITSKY (University of Missouri): Weighted
norm inequalities with indefinite weights, Schrödinger
operators, and associated function spaces.
More information in
***************************************************
* http://www.joensuu.fi/mathematics/summer_school *
***************************************************
On behalf of the local organizing committee,
Prof. Jari Taskinen
Department of Mathematics
University of Joensuu
P.O.Box 111
FIN-80101 Joensuu, FINLAND
jari.taskinen at joensuu.fi
From alspach at ms417l.math.okstate.edu Thu Mar 27 11:02:48 2003
Return-Path: owner-banach at mail.math.okstate.edu
Delivery-Date: Thu, 27 Mar 2003 09:05:37 -0600
Return-Path: <owner-banach at mail.math.okstate.edu>
Received: from mail.math.okstate.edu (mail.math.okstate.edu [139.78.112.5])
by ms417l.math.okstate.edu (8.11.6/8.11.6) with ESMTP id h2RF5ax06845
for <alspach at ms417l.math.okstate.edu>; Thu, 27 Mar 2003 09:05:36 -0600
Received: from mail.math.okstate.edu (localhost [127.0.0.1])
by mail.math.okstate.edu (8.12.6/8.12.6) with ESMTP id h2REE9G6001952
for <banach-list at mail.math.okstate.edu>; Thu, 27 Mar 2003 08:14:09 -0600 (CST)
Received: (from majordom at localhost)
by mail.math.okstate.edu (8.12.6/8.12.6/Submit) id h2REE9Ns007393
for banach-list; Thu, 27 Mar 2003 08:14:09 -0600 (CST)
X-Authentication-Warning: mail.math.okstate.edu: majordom set sender to owner-banach at mail.math.okstate.edu using -f
Received: from ms417l.math.okstate.edu (ms417l.math.okstate.edu [139.78.112.67])
by mail.math.okstate.edu (8.12.6/8.12.6) with ESMTP id h2REE8G6008221
for <banach at mail.math.okstate.edu>; Thu, 27 Mar 2003 08:14:08 -0600 (CST)
Received: from ms417l.math.okstate.edu (alspach at localhost)
by ms417l.math.okstate.edu (8.11.6/8.11.6) with ESMTP id h2REICs06563
for <banach at mail.math.okstate.edu>; Thu, 27 Mar 2003 08:18:12 -0600
Message-Id: <200303271418.h2REICs06563 at ms417l.math.okstate.edu>
Reply-to: Bill Johnson <johnson at math.tamu.edu>
To: banach at mail.math.okstate.edu
Subject: Workshop Announcement
Date: Thu, 27 Mar 2003 08:18:12 -0600
From: Dale Alspach <alspach at math.okstate.edu>
X-RAVMilter-Version: 8.4.2(snapshot 20021218) (mail.math.okstate.edu)
Sender: owner-banach at math.okstate.edu
Precedence: bulk
Workshop in Linear Analysis and Probability
Department of Mathematics
Texas A&M University
Summer 2003
The Summer 2003 session of the Workshop in Linear Analysis and
Probability at Texas A&M University will be in session from July 7
until August 10. SUMIRFAS will be held August 8-10. For information
about the Workshop, consult the Workshop Home Page, URL
http://www.math.tamu.edu/research/workshops/linanalysis/
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).
From alspach Tue Apr 1 12:16:25 2003
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 h31IGPC16996;
Tue, 1 Apr 2003 12:16:25 -0600
Date: Tue, 1 Apr 2003 12:16:25 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200304011816.h31IGPC16996 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Denny H. Leung and Wee-Kee Tang
Status: R
This is an announcement for the paper "\ell ^1-spreading models in mixed
Tsirelson space" by Denny H. Leung and Wee-Kee Tang.
Abstract: Suppose that (F_n)_{n=1}^{\infty } is a sequence of regular
families of finite subsets of N and (\theta _n)_{n=1}^{\infty } is a
nonincreasing null sequence in (0,1). The mixed Tsirelson space T[(\theta
_{n}, F_n)_{n=1}^{\infty }] is the completion of $c_{00}$ with respect
to the implicitly defined norm ||x|| = max{||x||_{c_0}, sup_n sup \theta
_n \sum_{i=1}^{j}||E_{i}x||}, where the last supremum is taken over
all finite subsets E_{1},...,E_{j} of N such that E_1 < ... <E_j and
{min E_1,...,min E_j} \in F_n. Necessary and sufficient conditions are
obtained for the existence of higher order \ell ^1-spreading models in
every subspace generated by a subsequence of the unit vector basis of
T[(\theta _{n}, F_n)_{n=1}^{\infty }.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B
The source file(s), LeungTangMTSpreadingModel.tex: 56749 bytes, is(are)
stored in gzipped form as 0303375.gz with size 15kb. The corresponding
postcript file has gzipped size 79kb.
Submitted from: wktang at nie.edu.sg
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0303375
or
http://arXiv.org/abs/math.FA/0303375
or by email in unzipped form by transmitting an empty message with
subject line
uget 0303375
or in gzipped form by using subject line
get 0303375
to: math at arXiv.org.
From alspach Thu Apr 3 09:12:11 2003
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 h33FCBU30794;
Thu, 3 Apr 2003 09:12:11 -0600
Date: Thu, 3 Apr 2003 09:12:11 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200304031512.h33FCBU30794 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 Christian Rosendal
Status: R
This is an announcement for the paper "Ergodic Banach spaces" by Valentin
Ferenczi and Christian Rosendal.
Abstract: We show that any Banach space contains a continuum of non
isomorphic subspaces or a minimal subspace. We define an ergodic Banach
space $X$ as a space such that $E_0$ Borel reduces to isomorphism on
the set of subspaces of $X$, and show that every Banach space is either
ergodic or contains a subspace with an unconditional basis $ which is
complementably universal for the family of its block-subspaces. We also
use our methods to get uniformity results; for example, in combination
with a result of B. Maurey, V. Milman and N. Tomczak-Jaegermann,
we show that an unconditional basis of a Banach space, of which every
block-subspace is complemented, must be asymptotically $c_0$ or $l_p$.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B03; 46B25
The source file(s), ErgodicBanachSpaces.tex: 77573 bytes, is(are) stored
in gzipped form as 0304018.gz with size 24kb. The corresponding postcript
file has gzipped size 84kb.
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/0304018
or
http://arXiv.org/abs/math.FA/0304018
or by email in unzipped form by transmitting an empty message with
subject line
uget 0304018
or in gzipped form by using subject line
get 0304018
to: math at arXiv.org.
From alspach at ms417l.math.okstate.edu Mon Apr 14 13:25:16 2003
Return-Path: owner-banach at mail.math.okstate.edu
Delivery-Date: Mon, 14 Apr 2003 12:46:30 -0500
Return-Path: <owner-banach at mail.math.okstate.edu>
Received: from mail.math.okstate.edu (mail.math.okstate.edu [139.78.112.5])
by ms417l.math.okstate.edu (8.11.6/8.11.6) with ESMTP id h3EHkUx31726
for <alspach at ms417l.math.okstate.edu>; Mon, 14 Apr 2003 12:46:30 -0500
Received: from mail.math.okstate.edu (localhost [127.0.0.1])
by mail.math.okstate.edu (8.12.6/8.12.6) with ESMTP id h3EH4Roa023154
for <banach-list at mail.math.okstate.edu>; Mon, 14 Apr 2003 12:04:27 -0500 (CDT)
Received: (from majordom at localhost)
by mail.math.okstate.edu (8.12.6/8.12.6/Submit) id h3EH4R7k001841
for banach-list; Mon, 14 Apr 2003 12:04:27 -0500 (CDT)
X-Authentication-Warning: mail.math.okstate.edu: majordom set sender to owner-banach at mail.math.okstate.edu using -f
Received: from ms417l.math.okstate.edu (ms417l.math.okstate.edu [139.78.112.67])
by mail.math.okstate.edu (8.12.6/8.12.6) with ESMTP id h3EH4Qoa005656
for <banach at math.okstate.edu>; Mon, 14 Apr 2003 12:04:26 -0500 (CDT)
Received: from ms417l.math.okstate.edu (alspach at localhost)
by ms417l.math.okstate.edu (8.11.6/8.11.6) with ESMTP id h3EH63E31523
for <banach at math.okstate.edu>; Mon, 14 Apr 2003 12:06:03 -0500
Message-Id: <200304141706.h3EH63E31523 at ms417l.math.okstate.edu>
X-Mailer: exmh version 2.5 01/15/2001 with nmh-1.0.4
Reply-to: Johan Swart <jswart at math.up.ac.za>
To: banach at math.okstate.edu
Subject: Conference on Abstract Analysis in Africa
Mime-Version: 1.0
Content-Type: text/plain; charset=us-ascii
Date: Mon, 14 Apr 2003 12:06:03 -0500
From: Dale Alspach <alspach at math.okstate.edu>
X-RAVMilter-Version: 8.4.2(snapshot 20021218) (mail.math.okstate.edu)
Sender: owner-banach at math.okstate.edu
Precedence: bulk
ICAA2003
The Fourth International Conference on Abstract Analysis in Africa
16 - 24 July 2003
Berg-en-Dal, Kruger National Park
SOUTH AFRICA
Call for papers! Deadline 1 June 2003
For information, visit our home page: http://www.math.up.ac.za/icaa
Conference e-mail: icaa at math.up.ac.za
The Fourth International Conference on Abstract Analysis in Africa is
a follow-up to ICAA 93, ICAA 96 and ICAA2000, which were held in 1993,
1996 and 2000 respectively. ICAA2003 will again be devoted to various
aspects of Abstract Analysis and its applications.
The programme will include talks by invited speakers and shorter
research talks by other participants as well as problem sessions.
If you want to subscribe an address to our mail distribution list, you
should send a message to sympa at kendy.up.ac.za with the following line
in the body of the message:
subscribe icaa your_email_address
From alspach Fri May 9 08:11:27 2003
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 h49DBRg26422;
Fri, 9 May 2003 08:11:27 -0500
Date: Fri, 9 May 2003 08:11:27 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200305091311.h49DBRg26422 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Kenneth Kunen
Status: R
This is an announcement for the paper "The Complex Stone-Weierstrass
Property" by Kenneth Kunen.
Abstract: C(X) denotes the space of continuous complex-valued functions
on the compact Hausdorff space X. X has the CSWP if every subalgebra of
C(X) which separates points and contains the constant functions is dense
in C(X). W. Rudin showed that all scattered X have the CSWP. We describe
a class of non-scattered X with the CSWP; by another result of Rudin,
such X cannot be metrizable.
Archive classification: General Topology; Functional Analysis
Mathematics Subject Classification: 54H13; 46J10
Remarks: 16 pages
The source file(s), cswp_arxiv.tex: 48626 bytes, is(are) stored in gzipped
form as 0305076.gz with size 15kb. The corresponding postcript file has
gzipped size 72kb.
Submitted from: kunen at math.wisc.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.GN/0305076
or
http://arXiv.org/abs/math.GN/0305076
or by email in unzipped form by transmitting an empty message with
subject line
uget 0305076
or in gzipped form by using subject line
get 0305076
to: math at arXiv.org.
From alspach Fri May 9 08:16:01 2003
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 h49DG1p26489;
Fri, 9 May 2003 08:16:01 -0500
Date: Fri, 9 May 2003 08:16:01 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200305091316.h49DG1p26489 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by G. Androulakis, E. Odell, Th. Schlumprecht, and N. Tomczak-Jaegermann
Status: R
This is an announcement for the paper "On the structure of the spreading
models of a Banach space" by G. Androulakis, E. Odell, Th. Schlumprecht,
and N. Tomczak-Jaegermann.
Abstract: We study some questions concerning the structure of the set
of spreading models of a separable infinite-dimensional Banach space
$X$. In particular we give an example of a reflexive $X$ so that all
spreading models of $X$ contain $\ell_1$ but none of them is isomorphic
to $\ell_1$. We also prove that for any countable set $C$ of spreading
models generated by weakly null sequences there is a spreading model
generated by a weakly null sequence which dominates each element of
$C$. In certain cases this ensures that $X$ admits, for each $\alpha <
\omega_1$, a spreading model $(\tilde x_i^\alpha)_i$ such that if $\alpha
< \beta$ then $(\tilde x_i^\alpha)_i$ is dominated by (and not equivalent
to) $(\tilde x_i^\beta)_i$. Some applications of these ideas are used
to give sufficient conditions on a Banach space for the existence of a
subspace and an operator defined on the subspace, which is not a compact
perturbation of a multiple of the inclusion map.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B03; 47A05
The source file(s), spreading.tex: 100375 bytes, is(are) stored in gzipped
form as 0305082.gz with size 28kb. The corresponding postcript file has
gzipped size 134kb.
Submitted from: giorgis at math.sc.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0305082
or
http://arXiv.org/abs/math.FA/0305082
or by email in unzipped form by transmitting an empty message with
subject line
uget 0305082
or in gzipped form by using subject line
get 0305082
to: math at arXiv.org.
From alspach at ms417l.math.okstate.edu Tue May 13 20:23:13 2003
Return-Path: owner-banach at mail.math.okstate.edu
Delivery-Date: Tue, 13 May 2003 15:38:46 -0500
Return-Path: <owner-banach at mail.math.okstate.edu>
Received: from mail.math.okstate.edu (mail.math.okstate.edu [139.78.112.5])
by ms417l.math.okstate.edu (8.11.6/8.11.6) with ESMTP id h4DKckF20726
for <alspach at ms417l.math.okstate.edu>; Tue, 13 May 2003 15:38:46 -0500
Received: from mail.math.okstate.edu (localhost [127.0.0.1])
by mail.math.okstate.edu (8.12.6/8.12.6) with ESMTP id h4DJfsoa006330
for <banach-list at mail.math.okstate.edu>; Tue, 13 May 2003 14:41:54 -0500 (CDT)
Received: (from majordom at localhost)
by mail.math.okstate.edu (8.12.6/8.12.6/Submit) id h4DJfroW009514
for banach-list; Tue, 13 May 2003 14:41:53 -0500 (CDT)
X-Authentication-Warning: mail.math.okstate.edu: majordom set sender to owner-banach at mail.math.okstate.edu using -f
Received: from ms417l.math.okstate.edu (ms417l.math.okstate.edu [139.78.112.67])
by mail.math.okstate.edu (8.12.6/8.12.6) with ESMTP id h4DJfroa016387
for <banach at mail.math.okstate.edu>; Tue, 13 May 2003 14:41:53 -0500 (CDT)
Received: from ms417l.math.okstate.edu (alspach at localhost)
by ms417l.math.okstate.edu (8.11.6/8.11.6) with ESMTP id h4DJoVm20493
for <banach at mail.math.okstate.edu>; Tue, 13 May 2003 14:50:32 -0500
Message-Id: <200305131950.h4DJoVm20493 at ms417l.math.okstate.edu>
X-Mailer: exmh version 2.5 01/15/2001 with nmh-1.0.4
To: banach at mail.math.okstate.edu
Subject: Handbook of the Geometry of Banach Spaces Volume 2
Mime-Version: 1.0
Content-Type: text/plain; charset=us-ascii
Date: Tue, 13 May 2003 14:50:31 -0500
From: Dale Alspach <alspach at math.okstate.edu>
X-RAVMilter-Version: 8.4.2(snapshot 20021218) (mail.math.okstate.edu)
Sender: owner-banach at math.okstate.edu
Precedence: bulk
Volume 2 is now available. The order form mentioned below can be found at
http://www.math.okstate.edu/~alspach/banach/johnsonlindenstraussleafletvol2.pdf
and at
http://www.math.tamu.edu/~bill.johnson/johnsonlindenstraussleafletvol2.pdf
******************
Elsevier is very pleased to announce the publication of the Handbook of the
Geometry of Banach Spaces, Volume 2, edited by W.B. Johnson and J.
Lindenstrauss (ISBN 0-444-51305-1), hardbound, 2003, 868 pages, US$ / EUR
145. We are happy to offer the book at a 30% discount price of: US$ / EUR
101.50
In case you are interested please complete the enclosed order form and send
it to Andy Deelen at the address mentioned on the order form.
Contents
Preface, Descriptive Set Theory and Banach Spaces (S.A. Argyros, G.
Godefroy, H.P. Rosenthal), Ramsey Methods in Banach Spaces (W.T.
Gowers),Quasi-Banach Spaces (N. Kalton), Interpolation of Banach Spaces (N.
Kalton, S. Montgomery-Smith), Probabilistic Limit Theorems in the Setting of
Banach Spaces (M. Ledoux, J. Zinn), Quotients of Finite-Dimensional Banach
Spaces; Random Phenomena (P. Mankiewicz, N. Tomczak-Jaegermann), Banach
Spaces with few Operators (B. Maurey), Type-cotype and K-convexity (B.
Maurey), Distortion and Asymptotic Structure (E. Odell, T. Schlumprecht),
Sobolev Spaces (A. Pelczynski, M. Wojciechowski), Operator Spaces (G.
Pisier), Non-commutative Lp-spaces (G. Pisier, Q. Xu), Geometric Measure
Theory in Banach Spaces (D. Preiss), The Banach Spaces C (K) (H.P.
Rosenthal), Concentration, Results and Applications (G. Schechtman),
Uniqueness of Structure in Banach Spaces (L. Tzafriri), Spaces of Analytic
Functions with Integral Norm (P. Wojtaszczyk), Extension of Bounded Linear
Operators (M. Zippin), Nonseparable Banach Spaces (V. Zizler), Addenda and
Corrigenda to Chapter 7, Approximation Properties by Peter G. Cassazza),
Addenda and Corrigenda to Chapter 8, Local Operator Theory, Random Matrices
and Banach Spaces (K.R. Davidson, S.J. Szarek),Operator Ideals (J. Diestel,
H. Jarchow, A. Pietsch), Addenda and Corrigenda to Chapter 15, Infinite
Audience
University libraries and libraries connected to departments of Mathematics,
Statistics, Theoretical Computer Science and individual mathematicians.
For more information, please see:
http://www.elsevier.com/inca/publications/store/6/2/1/9/3/1/index.htt
<<johnsonlindenstraussleafletvol2.pdf>>
********************************
(Mrs.) Andy Deelen
Administrative Editor
Mathematics & Computer Science
Elsevier Science BV
Sara Burgerhartstraat 25
1055 KV Amsterdam
The Netherlands
tel: +31 20 485 2343
fax: +31 20 485 2616
e-mail: a.deelen at elsevier.com
http://www.elsevier.com
From alspach at ms417l.math.okstate.edu Tue May 20 09:17:51 2003
Return-Path: owner-banach at mail.math.okstate.edu
Delivery-Date: Tue, 20 May 2003 09:10:53 -0500
Return-Path: <owner-banach at mail.math.okstate.edu>
Received: from mail.math.okstate.edu (mail.math.okstate.edu [139.78.112.5])
by ms417l.math.okstate.edu (8.11.6/8.11.6) with ESMTP id h4KEArF14607
for <alspach at ms417l.math.okstate.edu>; Tue, 20 May 2003 09:10:53 -0500
Received: from mail.math.okstate.edu (localhost [127.0.0.1])
by mail.math.okstate.edu (8.12.6/8.12.6) with ESMTP id h4KD3xgC023988
for <banach-list at mail.math.okstate.edu>; Tue, 20 May 2003 08:03:59 -0500 (CDT)
Received: (from majordom at localhost)
by mail.math.okstate.edu (8.12.6/8.12.6/Submit) id h4KD3xnE024981
for banach-list; Tue, 20 May 2003 08:03:59 -0500 (CDT)
X-Authentication-Warning: mail.math.okstate.edu: majordom set sender to owner-banach at mail.math.okstate.edu using -f
Received: from ms417l.math.okstate.edu (ms417l.math.okstate.edu [139.78.112.67])
by mail.math.okstate.edu (8.12.6/8.12.6) with ESMTP id h4KD3xgC014443
for <banach at math.okstate.edu>; Tue, 20 May 2003 08:03:59 -0500 (CDT)
Received: from ms417l.math.okstate.edu (alspach at localhost)
by ms417l.math.okstate.edu (8.11.6/8.11.6) with ESMTP id h4KDEEs14234
for <banach at math.okstate.edu>; Tue, 20 May 2003 08:14:14 -0500
Message-Id: <200305201314.h4KDEEs14234 at ms417l.math.okstate.edu>
To: banach at math.okstate.edu
Subject: Discount on Handbook Vol. 1
Date: Tue, 20 May 2003 08:14:14 -0500
From: Dale Alspach <alspach at math.okstate.edu>
X-RAVMilter-Version: 8.4.2(snapshot 20021218) (mail.math.okstate.edu)
Sender: owner-banach at math.okstate.edu
Precedence: bulk
The form mentioned below is available at
http://www.math.okstate.edu/~alspach/banach/johnsonlindenstraussleafletvolume1.pdf
********************************
As you probably know, the Handbook of the Geometry of Banach Spaces,
Volume 2, edited by W.B. Johnson and J. Lindenstrauss has just been
published. The book is offered at a nice 30% introductory discount at the
moment.
In order to allow those scientists who have missed the introductory discount
for Volume 1 to buy the book at a discounted price as well, Elsevier is
happy to temporarily offer Volume 1 at a 30% discount. In case you are
interested, please complete the enclosed leaflet and send it to Andy Deelen
at the address mentioned below. In case you have problems with opening the
leaflet, please contact Andy Deelen.
Volume 1
Description
The Handbook presents an overview of most aspects of modern Banach space
theory and its applications. The up-to-date surveys, authored by leading
research workers in the area, are written to be accessible to a wide
audience. In addition to presenting the state of the art of Banach space
theory, the surveys discuss the relation of the subject with such areas as
harmonic analysis, complex analysis, classical convexity, probability
theory, operator theory, combinatorics, logic, geometric measure theory, and
partial differential equations.
The Handbook begins with a chapter on basic concepts in Banach space theory
which contains all the background needed for reading any other chapter in
the Handbook. Each of the twenty one articles in this volume after the basic
concepts chapter is devoted to one specific direction of Banach space theory
or its applications. Each article contains a motivated introduction as well
as an exposition of the main results, methods, and open problems in its
specific direction. Most have an extensive bibliography. Many articles
contain new proofs of known results as well as expositions of proofs which
are hard to locate in the literature or are only outlined in the original
research papers.
As well as being valuable to experienced researchers in Banach space theory,
the Handbook should be an outstanding source for inspiration and information
to graduate students and beginning researchers. The Handbook will be useful
for mathematicians who want to get an idea of the various developments in
Banach space theory.
Contents
Basic concepts in the geometry of Banach spaces (W.B. Johnson, J.
Lindenstrauss). Positive operators (Y.A. Abramovitch, C.D. Aliprantis). Lp
spaces (D. Alspach, E. Odell). Convex geometry and functional analysis (K.
Ball). A p-sets in analysis: Results, problems and related aspects (J.
Bourgain). Martingales and singular integrals in Banach spaces (D.L.
Burkholder). Approximation properties (P.G. Casazza).
Local operator theory, random matrices and Banach spaces (K.R. Davidson,
S.J. Szarek). Applications to mathematical finance (F. Delbaen). Perturbed
minimization principles and applications (R. Deville, N. Ghoussoub).
Operator ideals (J. Diestel, H. Jarchow, A. Pietsch).
Special Banach lattices and their applications(S.J. Dilworth).
Some aspects of the invariant subspace problem (P. Enflo,V. Lomonosov).
Special bases in function spaces (T. Figel, P. Wojtaszczyk). Infinite
dimensional convexity (V. Fonf, J. Lindenstrauss, R.R. Phelps). Uniform
algebras as Banach spaces (T.W. Gamelin, S.V. Kisliakov). Euclidean
structure in finite dimensional normed spaces (A.A. Giannopoulos, V.D.
Milman). Renormings of Banach spaces (G. Godefroy). Finite dimensional
subspaces of Lp (W.B. Johnson, G. Schechtman). Banach spaces and classical
harmonic analysis (S.V. Kisliakov). Aspects of the isometric theory of
Banach spaces (A. Koldobsky, H. Konig). Eigenvalues of operators and
applications (H. Konig).
Audience: University Libraries and libraries conntected to departments of
Mathematics, Statistics, Theoretical Computer Science and individual
mathematians
Year 2001, Hardbound, ISBN: 0-444-82842-7, 1016 pages, USD 159
EUR 159 / SPECIAL DISCOUNT PRICE: USD 111 / EUR 111
(Mrs.) Andy Deelen
Administrative Editor
Mathematics & Computer Science
Elsevier BV
Sara Burgerhartstraat 25
1055 KV Amsterdam
The Netherlands
tel: +31 20 485 2343
fax: +31 20 485 2616
e-mail: a.deelen at elsevier.com
http://www.elsevier.com
From alspach Tue Jun 10 11:36:52 2003
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 h5AGaqb05251;
Tue, 10 Jun 2003 11:36:52 -0500
Date: Tue, 10 Jun 2003 11:36:52 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200306101636.h5AGaqb05251 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Matthew Neal and Bernard Russo
Status: R
This is an announcement for the paper "State spaces of JB*-triples"
by Matthew Neal and Bernard Russo.
Abstract: An atomic decomposition is proved for Banach spaces which
satisfy some affine geometric axioms compatible with notions from the
quantum mechanical measuring process. This is then applied to yield, under
appropriate assumptions, geometric characterizations, up to isometry,
of the unit ball of the dual space of a JB*-triple, and up to complete
isometry, of one-sided ideals in C*-algebras.
Archive classification: Operator Algebras; Functional Analysis
Mathematics Subject Classification: 17C65; 46L07
Remarks: 28 pages
The source file(s), statarch.tex: 117649 bytes, is(are) stored in gzipped
form as 0305367.gz with size 35kb. The corresponding postcript file has
gzipped size 127kb.
Submitted from: brusso at math.uci.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.OA/0305367
or
http://arXiv.org/abs/math.OA/0305367
or by email in unzipped form by transmitting an empty message with
subject line
uget 0305367
or in gzipped form by using subject line
get 0305367
to: math at arXiv.org.
From alspach Tue Jun 10 11:42:05 2003
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 h5AGg5g05321;
Tue, 10 Jun 2003 11:42:05 -0500
Date: Tue, 10 Jun 2003 11:42:05 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200306101642.h5AGg5g05321 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
Status: R
This is an announcement for the paper "Embedding of the operator space OH
and the logarithmic `little Grothendieck inequality'" by Marius Junge.
Abstract: Using free random varaibles we find an embedding of the operator
space $OH$ in the predual of a von Neumann algebra. The properties
of this embedding allow us to determined the projection constant of
$OH_n$, i.e. there exists a projection $P:B(\ell_2)\to OH_n$ whose
completely bounded norm behaves as n^{1/2}/(1+ln n)^{1/2}. According to
recent results of Pisier/Shlyahtenko, the lower bound holds for every
projection. Improving a previous estimate of order $(1+ ln n)$ of the
author, Pisier/Shlyahtenko obtained a `logarithmic little Grothendieck
inequality'. We find a second proof of this inequality which explains
why the factor $\sqrt{1+\ln n}$ is indeed necessary. In particular the
operator space version of the `little Grothendieck inequality' fails
to hold. This `logarithmic little Grothendieck' inequality characterizes
$C^*$-algebras with the weak expectation property of Lance.
Archive classification: Operator Algebras; Functional Analysis
Mathematics Subject Classification: 47L25,46L53, 46L54
The source file(s), DRIVER3.TEX: 180842 bytes, is(are) stored in gzipped
form as 0305387.gz with size 54kb. The corresponding postcript file has
gzipped size 244kb.
Submitted from: junge at math.uiuc.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.OA/0305387
or
http://arXiv.org/abs/math.OA/0305387
or by email in unzipped form by transmitting an empty message with
subject line
uget 0305387
or in gzipped form by using subject line
get 0305387
to: math at arXiv.org.
From alspach Tue Jun 10 11:43:07 2003
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 h5AGh7P05370;
Tue, 10 Jun 2003 11:43:07 -0500
Date: Tue, 10 Jun 2003 11:43:07 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200306101643.h5AGh7P05370 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Stefan Wenger
Status: R
This is an announcement for the paper "Isoperimetric inequalities of
euclidean type in metric spaces" by Stefan Wenger.
Abstract: In this paper we prove an isoperimetric inequality of euclidean
type for complete metric spaces admitting a cone-type inequality. These
include all Banach spaces and all complete, simply-connected metric
spaces of non-positive curvature in the sense of Alexandrov or, more
generally, of Busemann. The main theorem generalizes results of Gromov
and Ambrosio-Kirchheim.
Archive classification: Functional Analysis; Metric Geometry
Mathematics Subject Classification: 49Q15
The source file(s), iso.tex: 43153 bytes, is(are) stored in gzipped
form as 0306089.gz with size 13kb. The corresponding postcript file has
gzipped size 60kb.
Submitted from: wenger at math.ethz.ch
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0306089
or
http://arXiv.org/abs/math.FA/0306089
or by email in unzipped form by transmitting an empty message with
subject line
uget 0306089
or in gzipped form by using subject line
get 0306089
to: math at arXiv.org.
From alspach Tue Jun 10 11:58:35 2003
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 h5AGwZU05479;
Tue, 10 Jun 2003 11:58:35 -0500
Date: Tue, 10 Jun 2003 11:58:35 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200306101658.h5AGwZU05479 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Denny H. Leung and Wee-Kee Tang
Status: R
This is an announcement for the paper "\ell^1-spreading models in
subspaces of mixed Tsirelson spaces" by Denny H. Leung and Wee-Kee Tang.
Abstract: We investigate the existence of higher order \ell^1-spreading
models in subspaces of mixed Tsirelson spaces. For instance, we show
that the following conditions are equivalent for the mixed Tsirelson
space X=T[(\theta _n,S_n)_{n=1}^{\infty}]
(1)Every block subspace of $X$ contains an \ell^1-S_{\omega}-spreading
model, (2)The Bourgain \ell^1-index I_b(Y) = I(Y) > \omega^{\omega}
for any block
subspace Y of X,
(3)\lim_m\limsup_n\theta_{m+n}/\theta_n > 0 and every block subspace
Y of X
contains a block sequence equivalent to a subsequence of the unit vector
basis of X.
Moreover, if one (and hence all) of these conditions holds, then X is
arbitrarily distortable.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B
The source file(s), iso.tex: 43153 bytes, is(are) stored in gzipped
form as 0306133.gz with size 22kb. The corresponding postcript file has
gzipped size 92kb.
Submitted from: wktang at nie.edu.sg
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0306133
or
http://arXiv.org/abs/math.FA/0306133
or by email in unzipped form by transmitting an empty message with
subject line
uget 0306133
or in gzipped form by using subject line
get 0306133
to: math at arXiv.org.
From alspach at ms417l.math.okstate.edu Wed Jun 11 12:44:06 2003
Return-Path: owner-banach at mail.math.okstate.edu
Delivery-Date: Wed, 11 Jun 2003 10:58:12 -0500
Return-Path: <owner-banach at mail.math.okstate.edu>
Received: from mail.math.okstate.edu (mail.math.okstate.edu [139.78.112.5])
by ms417l.math.okstate.edu (8.11.6/8.11.6) with ESMTP id h5BFwCC28327
for <alspach at ms417l.math.okstate.edu>; Wed, 11 Jun 2003 10:58:12 -0500
Received: from mail.math.okstate.edu (localhost [127.0.0.1])
by mail.math.okstate.edu (8.12.6/8.12.6) with ESMTP id h5BFBCgC004982
for <banach-list at mail.math.okstate.edu>; Wed, 11 Jun 2003 10:11:12 -0500 (CDT)
Received: (from majordom at localhost)
by mail.math.okstate.edu (8.12.6/8.12.6/Submit) id h5BFBC8W003722
for banach-list; Wed, 11 Jun 2003 10:11:12 -0500 (CDT)
X-Authentication-Warning: mail.math.okstate.edu: majordom set sender to owner-banach at mail.math.okstate.edu using -f
Received: from ms417l.math.okstate.edu (ms417l.math.okstate.edu [139.78.112.67])
by mail.math.okstate.edu (8.12.6/8.12.6) with ESMTP id h5BFBCgC032026
for <banach at math.okstate.edu>; Wed, 11 Jun 2003 10:11:12 -0500 (CDT)
Received: from ms417l.math.okstate.edu (alspach at localhost)
by ms417l.math.okstate.edu (8.11.6/8.11.6) with ESMTP id h5BFJtv28168
for <banach at math.okstate.edu>; Wed, 11 Jun 2003 10:19:56 -0500
Message-Id: <200306111519.h5BFJtv28168 at ms417l.math.okstate.edu>
X-Mailer: exmh version 2.5 01/15/2001 with nmh-1.0.4
Reply-yo: Bill Johnson <johnson at math.tamu.edu>
To: banach at math.okstate.edu
Subject: Workshop at A&M - 2nd announcement
Content-Type: TEXT/PLAIN; charset=US-ASCII
Date: Wed, 11 Jun 2003 10:19:55 -0500
From: Dale Alspach <alspach at math.okstate.edu>
X-RAVMilter-Version: 8.4.2(snapshot 20021218) (mail.math.okstate.edu)
Sender: owner-banach at math.okstate.edu
Precedence: bulk
Workshop in Linear Analysis and Probability
Department of Mathematics
Texas A&M University
Summer 2003
The Summer 2003 session of the Workshop in Linear Analysis and
Probability at Texas A&M University will be in session from July 7
until August 10. SUMIRFAS will be held August 8-10. For information
about the Workshop, consult the Workshop Home Page, URL
http://www.math.tamu.edu/research/workshops/linanalysis/
Assaf Naor from Microsoft will give three lectures on "Metric Ramsey
Problems- a Survey of Recent Results" July 14 - 18. The first talk will
be
suitable for a general audience and should be of interest to specialists
and graduate students in combinatorics and geometry as well as analysis.
He will discuss techniques of proofs in his second and third lectures.
There will be two series of three introductory lectures suitable for
graduate students and non specialists during the Workshop. Shahar
Mendelson from The Australian National University in Canberra will speak
on "Geometric Methods in Learning Theory" July 21-23. Gilles Pisier will
speak on "Completely Bounded Maps and Factorization Theorems"
July 28 -August 1.
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).
From alspach Tue Jun 24 09:26:37 2003
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 h5OEQbr24913;
Tue, 24 Jun 2003 09:26:37 -0500
Date: Tue, 24 Jun 2003 09:26:37 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200306241426.h5OEQbr24913 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. Mendelson and R. Vershynin
Status: R
This is an announcement for the paper "Remarks on the geometry of
coordinate projections in R^n" by S. Mendelson and R. Vershynin.
Abstract: We study geometric properties of coordinate projections. Among
other results, we show that if a body K in R^n has an ``almost extremal"
volume ratio, then it has a projection of proportional dimension which
is close to the cube. We compare type 2 and infratype 2 constant of a
Banach space. This follows from a comparison lemma for Rademacher and
Gaussian averages. We also establish a sharp estimate on the shattering
dimension of the convex hull of a class of functions in terms of the
shattering dimension of the class itself.
Archive classification: Functional Analysis; Probability Theory
Mathematics Subject Classification: 46B09, 46B07, 68Q32
Remarks: Israel Journal of Mathematics, to appear
The source file(s), coordproj-israel.tex: 44224 bytes, is(are) stored in
gzipped form as 0306314.gz with size 14kb. The corresponding postcript
file has gzipped size 69kb.
Submitted from: rvershynin at math.ualberta.ca
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0306314
or
http://arXiv.org/abs/math.FA/0306314
or by email in unzipped form by transmitting an empty message with
subject line
uget 0306314
or in gzipped form by using subject line
get 0306314
to: math at arXiv.org.
From alspach at ms417l.math.okstate.edu Wed Jul 16 23:10:23 2003
Delivery-Date: Wed, 16 Jul 2003 17:38:13 -0500
Return-Path: <owner-banach at mail.math.okstate.edu>
Received: from mail.math.okstate.edu (mail.math.okstate.edu [139.78.112.5])
by ms417l.math.okstate.edu (8.11.6/8.11.6) with ESMTP id h6GMcD009830
for <alspach at ms417l.math.okstate.edu>; Wed, 16 Jul 2003 17:38:13 -0500
Received: from mail.math.okstate.edu (localhost [127.0.0.1])
by mail.math.okstate.edu (8.12.6/8.12.6) with ESMTP id h6GLTAK0007721
for <banach-list at mail.math.okstate.edu>; Wed, 16 Jul 2003 16:29:10 -0500 (CDT)
Received: (from majordom at localhost)
by mail.math.okstate.edu (8.12.6/8.12.6/Submit) id h6GLTA24002531
for banach-list; Wed, 16 Jul 2003 16:29:10 -0500 (CDT)
X-Authentication-Warning: mail.math.okstate.edu: majordom set sender to owner-banach at mail.math.okstate.edu using -f
Received: from ms417l.math.okstate.edu (ms417l.math.okstate.edu [139.78.112.67])
by mail.math.okstate.edu (8.12.6/8.12.6) with ESMTP id h6GLT9K0032268
for <banach at mail.math.okstate.edu>; Wed, 16 Jul 2003 16:29:09 -0500 (CDT)
Received: from ms417l.math.okstate.edu (alspach at localhost)
by ms417l.math.okstate.edu (8.11.6/8.11.6) with ESMTP id h6GLheI09523
for <banach at mail.math.okstate.edu>; Wed, 16 Jul 2003 16:43:40 -0500
Message-Id: <200307162143.h6GLheI09523 at ms417l.math.okstate.edu>
To: banach at mail.math.okstate.edu
Subject: SUMIRFAS
Reply-to: Bill Johnson <johnson at math.tamu.edu>
Date: Wed, 16 Jul 2003 16:43:40 -0500
From: Dale Alspach <alspach at math.okstate.edu>
X-RAVMilter-Version: 8.4.2(snapshot 20021218) (mail.math.okstate.edu)
Sender: owner-banach at math.okstate.edu
Precedence: bulk
ANNOUNCEMENT OF SUMIRFAS 2003
The Informal Regional Functional Analysis Seminar
August 8 - 10
Texas A&M University, College Station
Schedule: Talks for SUMIRFAS will be posted on the Workshop in
Linear Analysis and Probability page, URL
http://www.math.tamu.edu/research/workshops/linanalysis/
Below is a list of speakers, current as of July 16.
The Home Page also contains other information about the Workshop,
including a list of participants and a schedule of seminars.
Housing: Contact Cheryl Dorn, (cherylr at math.tamu.edu; 979/845-2915,
office; 979/ 845-6028, fax) for help with housing. Please tell Cheryl the
type of accommodation you desire (smoking or nonsmoking), which night(s)
you need the room, and give her a 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
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 9, 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 6
and PAYMENT MADE BY August 8. **
W. Johnson, johnson 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 16)
Lawrence Fialkow, Truncated moment problems and applications.
Gines Lopez Perez, Relatively weakly open subsets of the unit ball in
function spaces.
Miguel Martin, Finite-dimensional Banach spaces with numerical index zero.
Gideon Schechtman, Integral orthogonal splittings of L_1^{2k}.
Roger Smith, TBA.
P. Wojtaszczyk, Projections and nonlinear approximation in the space
BV(R^d).
Guoliang Yu, Uniform convexity and Novikov type conjectures.
Vrej Zarikian, The calculus of one-sided M-Ideals in operator spaces.
Artem Zvavitch, Projections of convex bodies and analytic
characterizations of zonoids.
From alspach Fri Jul 18 08:13:29 2003
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 h6IDDTO27025;
Fri, 18 Jul 2003 08:13:29 -0500
Date: Fri, 18 Jul 2003 08:13:29 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200307181313.h6IDDTO27025 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Yves Raynaud and Quanhua Xu
Status: R
This is an announcement for the paper "On subspaces of non-commutative
L_p-spaces" by Yves Raynaud and Quanhua Xu.
Abstract: We study some structural aspects of the subspaces of the
non-commutative (Haagerup) L_p-spaces associated with a general (non
necessarily semi-finite) von Neumann algebra A. If a subspace X of
L_p(A) contains uniformly the spaces \ell_p^n, n>= 1, it contains an
almost isometric, almost 1-complemented copy of \ell_p. If X contains
uniformly the finite dimensional Schatten classes S_p^n, it contains
their \ell_p-direct sum too. We obtain a version of the classical
Kadec-Pel czynski dichotomy theorem for L_p-spaces, p>= 2. We also
give operator space versions of these results. The proofs are based on
previous structural results on the ultrapowers of L_p(A), together with
a careful analysis of the elements of an ultrapower [L_p(A)]_U which are
disjoint from the subspace L_p(A). These techniques permit to recover
a recent result of N. Randrianantoanina concerning a Subsequence
Splitting Lemma for the general non-commutative L_p spaces. Various
notions of p-equiintegrability are studied (one of which is equivalent
to Randrianantoanina's one) and some results obtained by Haagerup,
Rosenthal and Sukochev for L_p -spaces based on finite von Neumann
algebras concerning subspaces of L_p(A) containing \ell_p are extended
to the general case.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B20, 46L52 (Primary) 47M07
(Secondary)
Remarks: To appear in Journal of Functional Analysis
The source file(s), LPNC.jfa.rev1.tex: 133588 bytes, is(are) stored in
gzipped form as 0307169.gz with size 41kb. The corresponding postcript
file has gzipped size 158kb.
Submitted from: yr at ccr.jussieu.fr
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0307169
or
http://arXiv.org/abs/math.FA/0307169
or by email in unzipped form by transmitting an empty message with
subject line
uget 0307169
or in gzipped form by using subject line
get 0307169
to: math at arXiv.org.
From alspach Fri Jul 25 08:31:25 2003
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 h6PDVPm20803;
Fri, 25 Jul 2003 08:31:25 -0500
Date: Fri, 25 Jul 2003 08:31:25 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200307251331.h6PDVPm20803 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Daniel M. Pellegrino
Status: R
This is an announcement for the paper "On ideals of polynomials and
their applications" by Daniel M. Pellegrino.
Abstract: In this paper we obtain some statements concerning ideals
of polynomials and apply these results in a number of different
situations. Among other results, we present new characterizations of
$\mathcal{L}_{\infty}$-spaces, Coincidence theorems, Dvoretzky-Rogers
and Extrapolation type theorems for dominated polynomials.
Archive classification: Functional Analysis
Remarks: 8 pages
The source file(s), Novo4.tex: 36286 bytes, is(are) stored in gzipped
form as 0307285.gz with size 10kb. The corresponding postcript file has
gzipped size 56kb.
Submitted from: dmp at dme.ufcg.edu.br
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0307285
or
http://arXiv.org/abs/math.FA/0307285
or by email in unzipped form by transmitting an empty message with
subject line
uget 0307285
or in gzipped form by using subject line
get 0307285
to: math at arXiv.org.
From alspach Fri Jul 25 08:32:28 2003
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 h6PDWSx20853;
Fri, 25 Jul 2003 08:32:28 -0500
Date: Fri, 25 Jul 2003 08:32:28 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200307251332.h6PDWSx20853 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Daniel M. Pellegrino
Status: R
This is an announcement for the paper "Almost summing mappings" by Daniel
M. Pellegrino.
Abstract: We introduce a general definition of almost $p$-summing mappings
and give several concrete examples of such mappings. Some known results
are considerably generalized and we present various situations in which
the space of almost $p$-summing multilinear mappings coincides with the
whole space of continuous multilinear mappings.
Archive classification: Functional Analysis
Remarks: to appear in Arch. Math. (Basel)
The source file(s), Pelle5.tex: 32348 bytes, is(are) stored in gzipped
form as 0307312.gz with size 9kb. The corresponding postcript file has
gzipped size 56kb.
Submitted from: dmp at dme.ufcg.edu.br
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0307312
or
http://arXiv.org/abs/math.FA/0307312
or by email in unzipped form by transmitting an empty message with
subject line
uget 0307312
or in gzipped form by using subject line
get 0307312
to: math at arXiv.org.
From alspach Fri Jul 25 08:33:25 2003
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 h6PDXPF20903;
Fri, 25 Jul 2003 08:33:25 -0500
Date: Fri, 25 Jul 2003 08:33:25 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200307251333.h6PDXPF20903 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Daniel M. Pellegrino
Status: R
This is an announcement for the paper "Cotype and nonlinear absolutely
summing mappings" by Daniel M. Pellegrino.
Abstract: In this paper we study absolutely summing mappings on Banach
spaces by exploring the cotype of their domains and ranges. It is proved
that every $n$% - -linear mapping from $\mathcal{L}_{\infty}$-spaces
into $\mathbb{K}$ is $% (2;2,...,2,\infty)$-summing and also shown that
every $n$-linear mapping from $\mathcal{L}_{\infty}$-spaces into $F$
is $(q;2,...,2)$-summing whenever $F$ has cotype $q.$ We also give new
examples of analytic summing mappings and polynomial and multilinear
versions of a linear Extrapolation Theorem.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B15, 46G25
The source file(s), Cotipoc.tex: 59356 bytes, is(are) stored in gzipped
form as 0307311.gz with size 15kb. The corresponding postcript file has
gzipped size 83kb.
Submitted from: dmp at dme.ufcg.edu.br
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0307311
or
http://arXiv.org/abs/math.FA/0307311
or by email in unzipped form by transmitting an empty message with
subject line
uget 0307311
or in gzipped form by using subject line
get 0307311
to: math at arXiv.org.
From alspach Fri Jul 25 08:36:04 2003
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 h6PDa4v21059;
Fri, 25 Jul 2003 08:36:04 -0500
Date: Fri, 25 Jul 2003 08:36:04 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200307251336.h6PDa4v21059 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Joaquim Bruna, Alexander Olevskii and Alexander Ulanovskii
Status: R
This is an announcement for the paper "Completeness in $L^1(R)$ of
discrete translates" by Joaquim Bruna, Alexander Olevskii and Alexander
Ulanovskii.
Abstract: We characterize, in terms of the Beurling-Malliavin density,
the discrete spectra $\Lambda\subset\R$ for which a generator exists, that
is a function $\varphi\in L^1(\R)$ such that its $\Lambda$-translates
$\varphi(x-\lambda), \lambda\in\Lambda$, span $L^1(\R)$. It is shown
that these spectra coincide with the uniqueness sets for certain analytic
classes. We also present examples of discrete spectra $\Lambda\subset\R$
which do not admit a single generator while they admit a pair of
generators.
Archive classification: Classical Analysis and ODEs; Functional Analysis
Mathematics Subject Classification: 42A65;30D60
Remarks: 14 pages, submitted
The source file(s), versiodef.tex: 40002 bytes, is(are) stored in gzipped
form as 0307323.gz with size 14kb. The corresponding postcript file has
gzipped size 70kb.
Submitted from: bruna at mat.uab.es
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.CA/0307323
or
http://arXiv.org/abs/math.CA/0307323
or by email in unzipped form by transmitting an empty message with
subject line
uget 0307323
or in gzipped form by using subject line
get 0307323
to: math at arXiv.org.
From alspach Fri Jul 25 08:34:25 2003
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 h6PDYPv20991;
Fri, 25 Jul 2003 08:34:25 -0500
Date: Fri, 25 Jul 2003 08:34:25 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200307251334.h6PDYPv20991 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Daniel M. Pellegrino
Status: R
This is an announcement for the paper "A remark on absolutely summing
multilinear mappings" by Daniel M. Pellegrino.
Abstract: In this note we obtain new coincidence theorems for absolutely
summing multilinear mappings between Banach spaces. We also prove that
our results, in general, can not be improved.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B15, 46G25
Remarks: 5 pages
The source file(s), arxiv.tex: 15792 bytes, is(are) stored in gzipped
form as 0307337.gz with size 5kb. The corresponding postcript file has
gzipped size 37kb.
Submitted from: dmp at dme.ufcg.edu.br
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0307337
or
http://arXiv.org/abs/math.FA/0307337
or by email in unzipped form by transmitting an empty message with
subject line
uget 0307337
or in gzipped form by using subject line
get 0307337
to: math at arXiv.org.
From alspach at ms417l.math.okstate.edu Thu Jul 31 12:59:24 2003
Return-Path: owner-banach at mail.math.okstate.edu
Delivery-Date: Thu, 31 Jul 2003 09:58:53 -0500
Return-Path: <owner-banach at mail.math.okstate.edu>
Received: from mail.math.okstate.edu (mail.math.okstate.edu [139.78.112.5])
by ms417l.math.okstate.edu (8.11.6/8.11.6) with ESMTP id h6VEwr003993
for <alspach at ms417l.math.okstate.edu>; Thu, 31 Jul 2003 09:58:53 -0500
Received: from mail.math.okstate.edu (localhost [127.0.0.1])
by mail.math.okstate.edu (8.12.6/8.12.6) with ESMTP id h6VDo2K0008395
for <banach-list at mail.math.okstate.edu>; Thu, 31 Jul 2003 08:50:02 -0500 (CDT)
Received: (from majordom at localhost)
by mail.math.okstate.edu (8.12.6/8.12.6/Submit) id h6VDo22r017446
for banach-list; Thu, 31 Jul 2003 08:50:02 -0500 (CDT)
X-Authentication-Warning: mail.math.okstate.edu: majordom set sender to owner-banach at mail.math.okstate.edu using -f
Received: from ms417l.math.okstate.edu (ms417l.math.okstate.edu [139.78.112.67])
by mail.math.okstate.edu (8.12.6/8.12.6) with ESMTP id h6VDo1K0014686
for <banach at mail.math.okstate.edu>; Thu, 31 Jul 2003 08:50:01 -0500 (CDT)
Received: from ms417l.math.okstate.edu (alspach at localhost)
by ms417l.math.okstate.edu (8.11.6/8.11.6) with ESMTP id h6VE82U03648
for <banach at mail.math.okstate.edu>; Thu, 31 Jul 2003 09:08:02 -0500
Message-Id: <200307311408.h6VE82U03648 at ms417l.math.okstate.edu>
To: banach at mail.math.okstate.edu
Repl-to: Bill Johnson <johnson at math.tamu.edu>
Subject: SUMIRFAS schedule
Date: Thu, 31 Jul 2003 09:08:02 -0500
From: Dale Alspach <alspach at math.okstate.edu>
X-RAVMilter-Version: 8.4.2(snapshot 20021218) (mail.math.okstate.edu)
Sender: owner-banach at math.okstate.edu
Precedence: bulk
ANNOUNCEMENT OF SUMIRFAS 2003
The Informal Regional Functional Analysis Seminar
August 8 - 10
Texas A&M University, College Station
Schedule: Talks for SUMIRFAS will be posted on the Workshop in
Linear Analysis and Probability page, URL
http://www.math.tamu.edu/research/workshops/linanalysis/
Below is the schedule.
The Home Page also contains other information about the Workshop,
including a list of participants and a schedule of seminars.
Housing: Contact Cheryl Dorn, (cherylr at math.tamu.edu; 979/845-2915,
office; 979/ 845-6028, fax) for help with housing. Please tell Cheryl the
type of accommodation you desire (smoking or nonsmoking), which night(s)
you need the room, and give her a 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
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 9, 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 6
and PAYMENT MADE BY August 8. **
W. Johnson, johnson 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
Schedule for SUMIRFAS 2003
Friday, August 8 Blocker 120
1:00-1:30 Coffee, Blocker 112
1:30-2:30 Roger Smith, Perturbations of subalgebras of von Neumann
algebras.
2:40-3:20 Miguel Martin, Finite-dimensional Banach spaces with numerical
index zero.
3:20-3:40 Coffee, Blocker 112
3:40-4:20 Razvan Anisca, Unconditional decompositions in subspaces of
l_2(X).
4:30-5:30 Vrej Zarikian, The calculus of one-sided M-Ideals in operator
spaces.
Saturday, July 13 Blocker 120
9:00-9:30 Coffee & Donuts, Blocker 112
9:30-10:30 Guoliang Yu, Uniform convexity and Novikov type conjectures.
10:40-11:20 Bernie Russo, State spaces of JB*-triples.
11:30-12:10 Matt Neal, JB*-triples in operator space theory.
12:10-1:40 Lunch
1:40-2:40 Gideon Schechtman, Integral orthogonal splittings of
L_1^{2k}.
2:50-3:50 Larry Fialkow, Truncated moment problems and applications.
3:50-4:20 Coffee, Blocker 112
4:20-5:20 Artem Zvavitch, Projections of convex bodies and analytic
characterizations of zonoids.
6:30- Dinner at Imperial Chinese Restaurant, 2232 S. Texas Ave.
Sunday, August 10 Blocker 120
9:30-10:00 Coffee & Donuts, Blocker 112
10:00-11:00 Przemek Wojtaszczyk, Projections and nonlinear approximation
in the space BV(R^d).
11:10-11:50 Gines Lopez Perez, Relatively weakly open subsets of the
unit ball in function spaces.
12:00-1:00 Timur Oikhberg, Representing Banach algebras as algebras
of completely bounded maps.
From alspach Tue Aug 12 08:45:43 2003
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 h7CDjh112185;
Tue, 12 Aug 2003 08:45:43 -0500
Date: Tue, 12 Aug 2003 08:45:43 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200308121345.h7CDjh112185 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 and Aicke Hinrichs
Status: R
This is an announcement for the paper "On the non-equivalence of
rearranged Walsh and trigonometric systems in L_p" by J\"org Wenzel
and Aicke Hinrichs.
Abstract: We consider the question whether the trigonometric system can
be equivalent to some rearrangement of the Walsh system in L_p for some
p<>2. We show that this question is closely related to a combinatorial
problem. This enables us to prove non-equivalence for a number of
rearrangements. Previously this was known for the Walsh-Paley order only.
Archive classification: Functional Analysis
Mathematics Subject Classification: 42C10, 42C20, 46B15
Remarks: 18 pages, to be published in Stud. Math
The source file(s), equi.tex: 45276 bytes, is(are) stored in gzipped
form as 0308091.gz with size 13kb. The corresponding postcript file has
gzipped size 72kb.
Submitted from: jwenzel at math.up.ac.za
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0308091
or
http://arXiv.org/abs/math.FA/0308091
or by email in unzipped form by transmitting an empty message with
subject line
uget 0308091
or in gzipped form by using subject line
get 0308091
to: math at arXiv.org.
From alspach at ms417l.math.okstate.edu Tue Sep 9 08:31:31 2003
Return-Path: owner-banach at mail.math.okstate.edu
Delivery-Date: Tue, 09 Sep 2003 08:04:57 -0500
Return-Path: <owner-banach at mail.math.okstate.edu>
Received: from mail.math.okstate.edu (mail.math.okstate.edu [139.78.112.5])
by ms417l.math.okstate.edu (8.11.6/8.11.6) with ESMTP id h89D4vJ21864
for <alspach at ms417l.math.okstate.edu>; Tue, 9 Sep 2003 08:04:57 -0500
Received: from mail.math.okstate.edu (localhost [127.0.0.1])
by mail.math.okstate.edu (8.12.6/8.12.6) with ESMTP id h89BlSGR023599
for <banach-list at mail.math.okstate.edu>; Tue, 9 Sep 2003 06:47:28 -0500 (CDT)
Received: (from majordom at localhost)
by mail.math.okstate.edu (8.12.6/8.12.6/Submit) id h89BlS7n032578
for banach-list; Tue, 9 Sep 2003 06:47:28 -0500 (CDT)
X-Authentication-Warning: mail.math.okstate.edu: majordom set sender to owner-banach at mail.math.okstate.edu using -f
Received: from ms417l.math.okstate.edu (ms417l.math.okstate.edu [139.78.112.67])
by mail.math.okstate.edu (8.12.6/8.12.6) with ESMTP id h89BlRGR000064
for <banach at math.okstate.edu>; Tue, 9 Sep 2003 06:47:27 -0500 (CDT)
Received: from ms417l.math.okstate.edu (alspach at localhost)
by ms417l.math.okstate.edu (8.11.6/8.11.6) with ESMTP id h89CFMn21572
for <banach at math.okstate.edu>; Tue, 9 Sep 2003 07:15:22 -0500
Message-Id: <200309091215.h89CFMn21572 at ms417l.math.okstate.edu>
Reply-to: kaminska at memphis.edu
To: banach at math.okstate.edu
Subject: Announcement of a Conference at Memphis
Date: Tue, 09 Sep 2003 07:15:22 -0500
From: Dale Alspach <alspach at math.okstate.edu>
X-RAVMilter-Version: 8.4.2(snapshot 20021218) (mail.math.okstate.edu)
Sender: owner-banach at math.okstate.edu
Precedence: bulk
Announcement of the Conference
"Banach Spaces and Applications"
Memphis, 17-18 October 2003
On 17 and 18 of October 2003 there will be a conference on Banach Spaces
and related topics held on the campus of The University of Memphis.
There will be nine 40-minutes talks delivered by the following speakers:
Marianna Csornyei, University College London/Princeton University
S. Dilworth, University of South Carolina, Columbia
William B. Johnson, Texas A&M University, College Station
Marius Junge, University of Illinois in Urbana Champaign
Vladimir Kadec, University of Missouri Columbia/Kharkov National University
Nigel J. Kalton, University of Missouri Columbia
Christopher Lennard, University of Pittsburgh
Mieczyslaw Mastylo, Adam Mickiewicz University, Poznan, Poland
Stanislaw Szarek, Case Western Reserve University/Universite de Paris VI
The meeting will start on Friday 17, October at 2:00pm and will continue
until Saturday evening. The detailed schedule of the talks and other
events will be announced soon. All lectures will be held in Dunn Hall,
the location of the Department of Mathematical Sciences. There may be
some financial support available for Ph.D graduate students or
researchers in early stage of their career.
A block of hotel rooms at a conference discount price of $85 per night
has been booked in Holiday Inn and in the Fogelman Executive Conference
Center (FECC). Both these hotels are located very conveniently on
campus, a few minutes walk from the Dunn Hall. In order to reserve a
room in one of these hotels please call the Holiday Inn at (901)
678-5410, and the FECC at (901) 678-5410. This reservation blocks will
be held until the end of September. In order to get a reduced price you
need to mention that you are a guest of the meeting "Mathematical
Sciences-Banach Spaces".
All individuals interested in Banach Spaces and all related topics are
warmly welcome in Memphis. Any questions or suggestions concerning the
meeting should be directed to:
Anna Kaminska
The University of Memphis
Department of Mathematical Sciences
Memphis, TN 38152
Tel. (901) 678-2494
Fax (901) 678-2480
e-mail: kaminska at memphis.edu
From alspach Thu Sep 11 14:17:41 2003
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 h8BJHfO23006;
Thu, 11 Sep 2003 14:17:41 -0500
Date: Thu, 11 Sep 2003 14:17:41 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200309111917.h8BJHfO23006 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Daniel M. Pellegrino
Status: R
This is an announcement for the paper "Relations between the different
concepts of summability of multilinear mappings between Banach spaces"
by Daniel M. Pellegrino.
Abstract: In this paper we investigate the connections between the several
different extensions of the concept of absolutely summing operators.
Archive classification: Functional Analysis
Remarks: 9 pages
The source file(s), Article11.tex: 35646 bytes, is(are) stored in gzipped
form as 0308145.gz with size 10kb. The corresponding postcript file has
gzipped size 59kb.
Submitted from: dmp at dme.ufcg.edu.br
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0308145
or
http://arXiv.org/abs/math.FA/0308145
or by email in unzipped form by transmitting an empty message with
subject line
uget 0308145
or in gzipped form by using subject line
get 0308145
to: math at arXiv.org.
From alspach Thu Sep 11 14:19:13 2003
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 h8BJJDV23055;
Thu, 11 Sep 2003 14:19:13 -0500
Date: Thu, 11 Sep 2003 14:19:13 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200309111919.h8BJJDV23055 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Nathanial Brown and Erik Guentner
Status: R
This is an announcement for the paper "Uniform embeddings of bounded
geometry spaces into reflexive Banach space" by Nathanial Brown and
Erik Guentner.
Abstract: We show that every metric space with bounded geometry
uniformly embeds into an explicit reflexive Banach space (a direct sum
of l^p spaces). In the case of discrete groups we show the analogue
of a-T-menability. That is, we construct a metrically proper affine
isometric action on this Banach space.
Archive classification: Operator Algebras; Functional Analysis
Remarks: 7 pages
The source file(s), embeds-final.tex: 23642 bytes, is(are) stored in
gzipped form as 0309198.gz with size 8kb. The corresponding postcript
file has gzipped size 32kb.
Submitted from: nbrown at math.psu.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.OA/0309198
or
http://arXiv.org/abs/math.OA/0309198
or by email in unzipped form by transmitting an empty message with
subject line
uget 0309198
or in gzipped form by using subject line
get 0309198
to: math at arXiv.org.
From alspach Fri Sep 26 08:39:43 2003
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 h8QDdho24596;
Fri, 26 Sep 2003 08:39:43 -0500
Date: Fri, 26 Sep 2003 08:39:43 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200309261339.h8QDdho24596 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Edward Odell and Hans-Olav Tylli
Status: R
This is an announcement for the paper "Weakly compact approximation in
Banach spaces" by Edward Odell and Hans-Olav Tylli.
Abstract: The Banach space $E$ has the weakly compact approximation
property (W.A.P. for short) if there is a constant $C < \infty$ so that
for any weakly compact set $D \subset E$ and $\varepsilon > 0$ there
is a weakly compact operator $V: E \to E$ satisfying $\sup_{x\in D} ||
x - Vx || < \varepsilon$ and $|| V|| \leq C$. We give several examples
of Banach spaces both with and without this approximation property. Our
main results demonstrate that the James-type spaces from a general class
of quasi-reflexive spaces (which contains the classical James' space
$J$) have the W.A.P, but that James' tree space $JT$ fails to have the
W.A.P. It is also shown that the dual $J^*$ has the W.A.P. It follows
that the Banach algebras $W(J)$ and $W(J^*)$, consisting of the weakly
compact operators, have bounded left approximate identities. Among the
other results we obtain a concrete Banach space $Y$ so that $Y$ fails
to have the W.A.P., but $Y$ has this approximation property without the
uniform bound $C$.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B28
Remarks: 39 pages, plain tex document
The source file(s), amssym.def: 4924 bytes, amssym.tex: 9155 bytes,
weakap.tex: 119718 bytes, is(are) stored in gzipped form as 0309405.tar.gz
with size 38kb. The corresponding postcript file has gzipped size 131kb.
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/0309405
or
http://arXiv.org/abs/math.FA/0309405
or by email in unzipped form by transmitting an empty message with
subject line
uget 0309405
or in gzipped form by using subject line
get 0309405
to: math at arXiv.org.
From alspach Fri Oct 3 15:14:02 2003
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 h93KE2C22516;
Fri, 3 Oct 2003 15:14:02 -0500
Date: Fri, 3 Oct 2003 15:14:02 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200310032014.h93KE2C22516 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 E. Odell
Status: R
This is an announcement for the paper "The diameter of the isomorphism
class of a Banach space" by W. B. Johnson and E. Odell.
Abstract: We prove that if X is a separable infinite dimensional Banach
space then its isomorphism class has infinite diameter with respect
to the Banach-Mazur distance. One step in the proof is to show that if
X is elastic then X contains an isomorph of c_0. We call X elastic if
for some K < infinity for every Banach space Y which embeds into X, the
space Y is K-isomorphic to a subspace of X. We also prove that if X is
a separable Banach space such that for some K < infinity every isomorph
of X is K-elastic then X is finite dimensional.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B03, 46B20
Remarks: AMSLaTeX, 13 pages
The source file(s), JOIsomClassSept2403.tex: 36700 bytes, is(are) stored
in gzipped form as 0310023.gz with size 13kb. The corresponding postcript
file has gzipped size 63kb.
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/0310023
or
http://arXiv.org/abs/math.FA/0310023
or by email in unzipped form by transmitting an empty message with
subject line
uget 0310023
or in gzipped form by using subject line
get 0310023
to: math at arXiv.org.
From alspach Thu Oct 23 16:21:49 2003
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 h9NLLnw16792;
Thu, 23 Oct 2003 16:21:49 -0500
Date: Thu, 23 Oct 2003 16:21:49 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200310232121.h9NLLnw16792 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Dale Alspach and Simei Tong
Status: R
This is an announcement for the paper "Subspaces of L_p, p>2, with
unconditional basis have equivalent partition and weight norms" by
Dale Alspach and Simei Tong.
Abstract: In this note we give a simple proof that every subspace of
L_p, 2<p<infinity, with an unconditional basis has an equivalent norm
determined by partitions and weights. Consequently L_p has a norm
determined by partitions and weights.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B20
Remarks: 4 pages
The source file(s), partweightuncbasic.bbl: 787 bytes,
partweightuncbasic.tex: 11243 bytes, is(are) stored in gzipped form
as 0310343.tar.gz with size 5kb. The corresponding postcript file has
gzipped size 38kb.
Submitted from: alspach at math.okstate.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0310343
or
http://arXiv.org/abs/math.FA/0310343
or by email in unzipped form by transmitting an empty message with
subject line
uget 0310343
or in gzipped form by using subject line
get 0310343
to: math at arXiv.org.
From alspach at ms417l.math.okstate.edu Fri Oct 24 15:33:37 2003
Return-Path: <owner-banach at mail.math.okstate.edu>
Received: from mail.math.okstate.edu (mail.math.okstate.edu [139.78.112.5])
by ms417l.math.okstate.edu (8.11.6/8.11.6) with ESMTP id h9OKUj314088
for <alspach at ms417l.math.okstate.edu>; Fri, 24 Oct 2003 15:30:45 -0500
Received: from mail.math.okstate.edu (localhost [127.0.0.1])
by mail.math.okstate.edu (8.12.6/8.12.6) with ESMTP id h9OJERNP020754
for <banach-list at mail.math.okstate.edu>; Fri, 24 Oct 2003 14:14:27 -0500 (CDT)
Received: (from majordom at localhost)
by mail.math.okstate.edu (8.12.6/8.12.6/Submit) id h9OJERHM005008
for banach-list; Fri, 24 Oct 2003 14:14:27 -0500 (CDT)
X-Authentication-Warning: mail.math.okstate.edu: majordom set sender to owner-banach at mail.math.okstate.edu using -f
Received: from ms417l.math.okstate.edu (ms417l.math.okstate.edu [139.78.112.67])
by mail.math.okstate.edu (8.12.6/8.12.6) with ESMTP id h9OJEPNP007670
for <banach at math.okstate.edu>; Fri, 24 Oct 2003 14:14:25 -0500 (CDT)
Received: from ms417l.math.okstate.edu (alspach at localhost)
by ms417l.math.okstate.edu (8.11.6/8.11.6) with ESMTP id h9OJkhd13770
for <banach at math.okstate.edu>; Fri, 24 Oct 2003 14:46:43 -0500
Message-Id: <200310241946.h9OJkhd13770 at ms417l.math.okstate.edu>
X-Mailer: exmh version 2.5 01/15/2001 with nmh-1.0.4
Reply-to: Konference na Pasekach <paseky at karlin.mff.cuni.cz>
To: banach at math.okstate.edu
Subject: Spring Conference on Analysis - Paseky 2004
Mime-Version: 1.0
Content-Type: text/plain; charset=us-ascii
Date: Fri, 24 Oct 2003 14:46:43 -0500
From: Dale Alspach <alspach at math.okstate.edu>
Sender: owner-banach at math.okstate.edu
Precedence: bulk
First Announcement
Dear Colleague,
Following a longstanding tradition, the Faculty of Mathematics and
Physics of Charles University in Prague will organize Spring
Conference on
NONSEPARABLE BANACH SPACES.
The Conference will be held at Paseky nad Jizerou, in a chalet
in the Krkonose Mountains, April 18 - 24, 2004.
The purpose of this meeting is to bring together researchers with common
interest in the field. There will be opportunities for informal discussions.
Graduate students and others beginning their mathematical career are encouraged
to participate.
The topic of the conference is the theory of nonseparable Banach spaces. It is a
rich area, closely related with topology, nonlinear analysis, combinatorics and
set theory, which offers many open problems. Therefore we hope that the
conference will attract the attention of young researchers and students as well
as specialists in the above mentioned fields.
The organization of this meeting is not exactly in the spirit of previous Spring
Schools - instead of the series of lectures given by few leading experts in the
field, we intend to organize a usual conference type meeting. This will also
give young participants a chance to present their work.
More details and the registration form can be found at the URL address
http://www.karlin.mff.cuni.cz/katedry/kma/ss/apr04/ss.html
The conference fee will be EUR 360. A reduced rate of EUR 310
will be offered provided that an application form reaches the
organizers before January 15, 2004.
The conference fee includes all local expenses (room and board) and
transportation between Prague and Paseky. The fee for accompanying persons is
the same.
The organizers may provide financial support to a limited number
of students. Applications must be sent before January 15, 2004.
The village of Paseky lies in the slopes of the Krkonose Mountains
in North Bohemia. Accommodation consists of rooms for two or three
people. A single room can be arranged on demand if the capacity of the chalet
allows. In such case additional EUR 100 will be charged.
There are excellent facilities and conditions for sporting activities:
hiking trips, soccer, mini-golf and sauna.
A special bus from Prague to Paseky will leave at 4 p.m. on Sunday, April
18, 2004. The bus from Paseky will arrive in Prague on Saturday, April 24, 2004
at about 12 a.m.
Due to the limited capacity of accommodation facilities the organizers may be
forced to decline some later registrations.
Kindly inform your colleagues and students interested in this field.
We are looking forward to meeting you in the Czech Republic.
Marian Fabian, Gilles Godefroy, Petr Hajek,
Jaroslav Lukes and Vaclav Zizler
Mailing address:
Katedra matematicke analyzy
Matematicko-fyzikalni fakulta UK
Sokolovska 83
186 75 Praha 8
Czech Republic
Phone/Fax: +420 - 222 32 33 90
E-mail: paseky at karlin.mff.cuni.cz
From alspach Mon Oct 27 15:57:39 2003
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 h9RLvd523077;
Mon, 27 Oct 2003 15:57:39 -0600
Date: Mon, 27 Oct 2003 15:57:39 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200310272157.h9RLvd523077 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Daniel M. Pellegrino
Status: R
This is an announcement for the paper "On Banach spaces whose duals are
isomorphic to l_1" by Daniel M. Pellegrino.
Abstract: In this paper we present new characterizations of Banach
spaces whose duals are isomorphic to $l_{1}(\Gamma),$ extending results
of Stegall, Lewis-Stegall and Cilia-D'Anna-Guti\'{e}rrez.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46G25
The source file(s), pellegrinog.tex: 23695 bytes, is(are) stored in
gzipped form as 0310396.gz with size 7kb. The corresponding postcript
file has gzipped size 42kb.
Submitted from: dmp at dme.ufcg.edu.br
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0310396
or
http://arXiv.org/abs/math.FA/0310396
or by email in unzipped form by transmitting an empty message with
subject line
uget 0310396
or in gzipped form by using subject line
get 0310396
to: math at arXiv.org.
From alspach at ms417l.math.okstate.edu Sun Nov 16 19:43:03 2003
Date: Sun, 16 Nov 2003 15:25:26 -0600
From: Dale Alspach <alspach at math.okstate.edu>
To: banach at math.okstate.edu
Subject: Position at the University of Alberta
UNIVERSITY OF ALBERTA
Department of Mathematical and Statistical Sciences
Functional Analysis
The Department of Mathematical and Statistical Sciences, University of Alberta
invites applications for a tenure track position at the Assistant Professor
level in functional analysis. We are looking for a person with a PhD, a strong
record/ for outstanding research, excellent communication and teaching skills
and leadership potential. The successful candidate must also have a strong
commitment to undergraduate and graduate education.
We are interested in a person whose research interests would complement and
strengthen the functional analysis group in our department. These interests
include, in particular, the areas of abstract harmonic analysis, asymptotic
geometric analysis, Banach algebras, Banach spaces and operator
theory/algebras/spaces.
In accordance with Canadian Immigration requirements, this advertisement is
directed to Canadian citizens and permanent residents. If suitable Canadian
citizens and permanent residents cannot be found, other individuals will be
considered. Applications should include curriculum vitae, a research plan and
teaching dossier.
Candidates should arrange for at least three confidential letters of reference
to be sent to:
Anthony To-Ming Lau, Chair
Department of Mathematical and Statistical Sciences
University of Alberta
Edmonton, Alberta T6G 2G1 Canada
The closing date for applications is January 15, 2004. Early applications are
encouraged. For more information about the Department and our University,
please see our web page:
http://www.math.ualberta.ca
The University of Alberta is committed to the principle of equity in
employment. As an employer we welcome diversity in the workplace and encourage
applications from all qualified men and women, including Aboriginal peoples,
persons with disabilities, and members of visible minorities.
From alspach Wed Nov 19 15:22:33 2003
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 hAJLMXf04262;
Wed, 19 Nov 2003 15:22:33 -0600
Date: Wed, 19 Nov 2003 15:22:33 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200311192122.hAJLMXf04262 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 Kadets, Nigel Kalton, and Dirk Werner
Status: R
This is an announcement for the paper "Unconditionally convergent series
of operators and narrow operators on $L_1$" by Vladimir Kadets, Nigel
Kalton, and Dirk Werner.
Abstract: We introduce a class of operators on $L_1$ that is stable under
taking sums of pointwise unconditionally convergent series, contains
all compact operators and does not contain isomorphic embeddings. It
follows that any operator from $L_1$ into a space with an unconditional
basis belongs to this class.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B04; 46B15, 46B25, 47B07
The source file(s), catmac.tex: 23692 bytes, dauga11.tex: 32943 bytes,
is(are) stored in gzipped form as 0311324.tar.gz with size 15kb. The
corresponding postcript file has gzipped size 56kb.
Submitted from: werner at math.fu-berlin.de
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0311324
or
http://arXiv.org/abs/math.FA/0311324
or by email in unzipped form by transmitting an empty message with
subject line
uget 0311324
or in gzipped form by using subject line
get 0311324
to: math at arXiv.org.
From alspach Thu Dec 4 13:53:02 2003
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 hB4Jr2u14114;
Thu, 4 Dec 2003 13:53:02 -0600
Date: Thu, 4 Dec 2003 13:53:02 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200312041953.hB4Jr2u14114 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Max Burke, Wieslaw Kubis and Stevo Todorcevic
Status: R
This is an announcement for the paper "Kadec norms on spaces of continuous
functions" by Max Burke, Wieslaw Kubis and Stevo Todorcevic.
Abstract: We study the existence of pointwise Kadec renormings for Banach
spaces of the form $C(K)$. We show in particular that such a renorming
exists when $K$ is any product of compact linearly ordered spaces,
extending the result for a single factor due to Haydon, Jayne, Namioka
and Rogers. We show that if $C(K_1)$ has a pointwise Kadec renorming and
$K_2$ belongs to the class of spaces obtained by closing the class of
compact metrizable spaces under inverse limits of transfinite continuous
sequences of retractions, then $C(K_1\times K_2)$ has a pointwise Kadec
renorming. We also prove a version of the three-space property for
such renormings.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B03 (Primary) 46B26, 46E15, 54C35
(Secondary)
Remarks: 22 pages
The source file(s), Kadecnorms_June25.tex: 87210 bytes, is(are) stored
in gzipped form as 0312013.gz with size 27kb. The corresponding postcript
file has gzipped size 107kb.
Submitted from: kubis at ux2.math.us.edu.pl
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0312013
or
http://arXiv.org/abs/math.FA/0312013
or by email in unzipped form by transmitting an empty message with
subject line
uget 0312013
or in gzipped form by using subject line
get 0312013
to: math at arXiv.org.
From alspach Thu Dec 4 13:54:02 2003
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 hB4Js2914166;
Thu, 4 Dec 2003 13:54:02 -0600
Date: Thu, 4 Dec 2003 13:54:02 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200312041954.hB4Js2914166 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 "Rate of convergence of geometric
symmetrizations" by B. Klartag.
Abstract: It is a classical fact, that given an arbitrary n-dimensional
convex body, there exists an appropriate sequence of Minkowski
symmetrizations (or Steiner symmetrizations), that converges in
Hausdorff metric to a Euclidean ball. Here we provide quantitative
estimates regarding this convergence, for both Minkowski and Steiner
symmetrizations. Our estimates are polynomial in the dimension and in
the logarithm of the desired distance to a Euclidean ball, improving
previously known exponential estimates. Inspired by a method of Diaconis,
our technique involves spherical harmonics. We also make use of an earlier
result by the author regarding ``isomorphic Minkowski symmetrization''.
Archive classification: Metric Geometry; Functional Analysis
Remarks: Accepted for publication in Geom. Funct. Anal
The source file(s), epsilon.tex: 43245 bytes, is(are) stored in gzipped
form as 0312064.gz with size 13kb. The corresponding postcript file has
gzipped size 70kb.
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/0312064
or
http://arXiv.org/abs/math.MG/0312064
or by email in unzipped form by transmitting an empty message with
subject line
uget 0312064
or in gzipped form by using subject line
get 0312064
to: math at arXiv.org.
From alspach Thu Dec 4 13:55:08 2003
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 hB4Jt8O14235;
Thu, 4 Dec 2003 13:55:08 -0600
Date: Thu, 4 Dec 2003 13:55:08 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200312041955.hB4Jt8O14235 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 "On John-type ellipsoids" by
B. Klartag.
Abstract: Given an arbitrary convex symmetric n-dimensional body, we
construct a natural and non-trivial continuous map which associates
ellipsoids to ellipsoids, such that the Lowner-John ellipsoid of the
body is its unique fixed point. A new characterization of the Lowner-John
ellipsoid is obtained, and we also gain information regarding the contact
points of inscribed ellipsoids with the body.
Archive classification: Metric Geometry; Functional Analysis
The source file(s), johnotropic_final3.tex: 28633 bytes, is(are) stored
in gzipped form as 0312065.gz with size 9kb. The corresponding postcript
file has gzipped size 49kb.
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/0312065
or
http://arXiv.org/abs/math.MG/0312065
or by email in unzipped form by transmitting an empty message with
subject line
uget 0312065
or in gzipped form by using subject line
get 0312065
to: math at arXiv.org.
From alspach Tue Dec 9 07:17:39 2003
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 hB9DHdF23882;
Tue, 9 Dec 2003 07:17:39 -0600
Date: Tue, 9 Dec 2003 07:17:39 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200312091317.hB9DHdF23882 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 A. Coco
Status: R
This is an announcement for the paper "Biorthogonal systems in Banach
spaces" by Michael A. Coco.
Abstract: We give biorthogonal system characterizations of Banach spaces
that fail the Dunford-Pettis property, contain an isomorphic copy of
$c_0$, or fail the hereditary Dunford-Pettis property. We combine this
with previous results to show that each infinite dimensional Banach
space has one of three types of biorthogonal systems.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B20; 46B25
Remarks: 22 pages
The source file(s), 031202.tex: 58363 bytes, is(are) stored in gzipped
form as 0312128.gz with size 15kb. The corresponding postcript file has
gzipped size 85kb.
Submitted from: coco at lynchburg.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0312128
or
http://arXiv.org/abs/math.FA/0312128
or by email in unzipped form by transmitting an empty message with
subject line
uget 0312128
or in gzipped form by using subject line
get 0312128
to: math at arXiv.org.
From alspach Tue Dec 9 07:19:03 2003
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 hB9DJ3923931;
Tue, 9 Dec 2003 07:19:03 -0600
Date: Tue, 9 Dec 2003 07:19:03 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200312091319.hB9DJ3923931 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 s s R K Rao
Status: R
This is an announcement for the paper "Very smooth points of spaces of
operators" by T s s R K Rao.
Abstract: In this paper we study very smooth points of Banach spaces with
special emphasis on spaces of operators. We show that when the space of
compact operators is an $M$-ideal in the space of bounded operators,
a very smooth operator $T$ attains its norm at a unique vector $x$
(up to a constant multiple) and $T(x)$ is a very smooth point of the
range space. We show that if for every equivalent norm on a Banach
space, the dual unit ball has a very smooth point then the space has
the Radon--Nikod\'{y}m property. We give an example of a smooth Banach
space without any very smooth points.
Archive classification: Functional Analysis
Citation: Proc. Indian Acad. Sci. (Math. Sci.), Vol. 113, No. 1, February
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0312116
or
http://arXiv.org/abs/math.FA/0312116
or by email in unzipped form by transmitting an empty message with
subject line
uget 0312116
or in gzipped form by using subject line
get 0312116
to: math at arXiv.org.
From alspach Tue Dec 9 07:20:04 2003
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 hB9DK4a23997;
Tue, 9 Dec 2003 07:20:04 -0600
Date: Tue, 9 Dec 2003 07:20:04 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200312091320.hB9DK4a23997 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 Kadets
Status: R
This is an announcement for the paper "Weak cluster points of a sequence
and coverings by cylinders" by Vladimir Kadets.
Abstract: Let $H$ be a Hilbert space. Using Ball's solution of the
"complex plank problem" we prove that the following properties of
a sequence $a_n>0$ are equivalent: \begin{enumerate} \item There is
a sequence $x_n \in H$ with $\|x_n\|=a_n$, having 0 as a weak cluster
point; \item $\sum_1^\infty a_n^{-2}=\infty$. \end{enumerate} Using this
result we show that a natural idea of generalization of Ball's "complex
plank" result to cylinders with $k$-dimensional base fails already for
$k=3$. We discuss also generalizations of "weak cluster points" result
to other Banach spaces and relations with cotype.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46C05; 46B20
Remarks: 6 pages
The source file(s), cylinders.tex: 15901 bytes, is(are) stored in gzipped
form as 0312131.gz with size 6kb. The corresponding postcript file has
gzipped size 43kb.
Submitted from: kadets at math.missouri.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0312131
or
http://arXiv.org/abs/math.FA/0312131
or by email in unzipped form by transmitting an empty message with
subject line
uget 0312131
or in gzipped form by using subject line
get 0312131
to: math at arXiv.org.
From alspach Tue Dec 9 07:20:50 2003
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 hB9DKoq24046;
Tue, 9 Dec 2003 07:20:50 -0600
Date: Tue, 9 Dec 2003 07:20:50 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200312091320.hB9DKoq24046 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 Kadets
Status: R
This is an announcement for the paper "Coverings by convex bodies and
inscribed balls" by Vladimir Kadets.
Abstract: Let $H$ be a Hilbert space. For a closed convex body $A$ denote
by $r(A)$ the supremum of radiuses of balls, contained in $A$. We prove,
that $\sum_{n=1}^\infty r(A_n) \ge r(A)$ for every covering of a convex
closed body $A \subset H$ by a sequence of convex closed bodies $A_n$,
$n \in \N$. It looks like this fact is new even for triangles in a
2-dimensional space.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46C05
Remarks: 6 pages
The source file(s), pokrytija.tex: 13500 bytes, is(are) stored in gzipped
form as 0312133.gz with size 5kb. The corresponding postcript file has
gzipped size 38kb.
Submitted from: kadets at math.missouri.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0312133
or
http://arXiv.org/abs/math.FA/0312133
or by email in unzipped form by transmitting an empty message with
subject line
uget 0312133
or in gzipped form by using subject line
get 0312133
to: math at arXiv.org.
From alspach Tue Dec 16 14:10:48 2003
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 hBGKAmd18754;
Tue, 16 Dec 2003 14:10:48 -0600
Date: Tue, 16 Dec 2003 14:10:48 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200312162010.hBGKAmd18754 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
Status: R
This is an announcement for the paper "B-convex operator spaces" by
Javier Parcet.
Abstract: The notion of B-convexity for operator spaces, which a priori
depends on a set of parameters indexed by $\Sigma$, is defined. Some
of the classical characterizations of this geometric notion for Banach
spaces are studied in this new context. For instance, an operator space
is $B_{\Sigma}$-convex if and only if it has $\Sigma$-subtype. The class
of uniformly non-$L^1(\Sigma)$ operator spaces, which is also the class of
$B_{\Sigma}$-convex operator spaces, is introduced. Moreover, an operator
space having non-trivial $\Sigma$-type is $B_{\Sigma}$-convex. However,
the converse is false. The row and column operator spaces are nice
counterexamples of this fact, since both are Hilbertian. In particular,
this result shows that a version of the Maurey-Pisier theorem does not
hold in our context. Some other examples of Hilbertian operator spaces
will be treated. In the last part of this paper, the independence of
$B_{\Sigma}$-convexity with respect to $\Sigma$ is studied. This provides
some interesting problems which will be posed.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46L07; 42C15
Remarks: To appear in Proc. Edinburgh Math. Soc. 17 pages
The source file(s), parcet5.tex: 68141 bytes, is(are) stored in gzipped
form as 0312246.gz with size 18kb. The corresponding postcript file has
gzipped size 87kb.
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/0312246
or
http://arXiv.org/abs/math.FA/0312246
or by email in unzipped form by transmitting an empty message with
subject line
uget 0312246
or in gzipped form by using subject line
get 0312246
to: math at arXiv.org.
From alspach Tue Dec 16 14:12:13 2003
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 hBGKCDo18803;
Tue, 16 Dec 2003 14:12:13 -0600
Date: Tue, 16 Dec 2003 14:12:13 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200312162012.hBGKCDo18803 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Jose Garcia-Cuerva and Javier Parcet
Status: R
This is an announcement for the paper "Quantized orthonormal systems: A
non-commutative Kwapien theorem" by Jose Garcia-Cuerva and Javier Parcet.
Abstract: The concepts of Riesz type and cotype of a given Banach space
are extended to a non-commutative setting. First, the Banach space is
replaced by an operator space. The notion of quantized orthonormal system,
which plays the role of the orthonormal system in the classical setting,
is then defined. The Fourier type and cotype of an operator space with
respect to a non-commutative compact group fit in this context. Also,
the quantized analogs of Rademacher and Gaussian systems are treated. All
this is used to obtain an operator space version of the classical theorem
of Kwapie\'n characterizing Hilbert spaces by means of vector-valued
orthogonal series. Several approaches to this result with different
consequences are given.
Archive classification: Functional Analysis; Probability Theory
Mathematics Subject Classification: 46L07; 46C15; 42C15
Citation: Studia Math. 155 (2003), 273-294
Remarks: 26 pages
The source file(s), parcet4.tex: 68674 bytes, is(are) stored in gzipped
form as 0312245.gz with size 19kb. The corresponding postcript file has
gzipped size 96kb.
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/0312245
or
http://arXiv.org/abs/math.FA/0312245
or by email in unzipped form by transmitting an empty message with
subject line
uget 0312245
or in gzipped form by using subject line
get 0312245
to: math at arXiv.org.
From alspach Tue Dec 16 14:13:10 2003
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 hBGKDAF18852;
Tue, 16 Dec 2003 14:13:10 -0600
Date: Tue, 16 Dec 2003 14:13:10 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200312162013.hBGKDAF18852 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Jose Garcia-Cuerva and Javier Parcet
Status: R
This is an announcement for the paper "Vector-valued Hausdorff-Young
inequality on compact groups" by Jose Garcia-Cuerva and Javier Parcet.
Abstract: The main purpose of this paper is to study the validity of
the Hausdorff-Young inequality for vector-valued functions defined on a
non-commutative compact group. The natural context for this research is
that of operator spaces. This leads us to formulate a whole new theory
of Fourier type and cotype for the category of operator spaces. The
present paper is the first step in this program, where the basic theory
is presented, the main examples are analyzed and some questions are posed.
Archive classification: Functional Analysis; Representation Theory
Mathematics Subject Classification: 43A77; 46L07
Remarks: To appear in Proc. London. Math. Soc. 30 pages
The source file(s), parcet2.tex: 72889 bytes, is(are) stored in gzipped
form as 0312241.gz with size 20kb. The corresponding postcript file has
gzipped size 112kb.
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/0312241
or
http://arXiv.org/abs/math.FA/0312241
or by email in unzipped form by transmitting an empty message with
subject line
uget 0312241
or in gzipped form by using subject line
get 0312241
to: math at arXiv.org.
From alspach Tue Dec 16 14:14:10 2003
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 hBGKEAY18901;
Tue, 16 Dec 2003 14:14:10 -0600
Date: Tue, 16 Dec 2003 14:14:10 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200312162014.hBGKEAY18901 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 $\lambda(g_{i_1}g_{i_2}
\cdots g_{i_d})$ 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: 18 pages
The source file(s), Free.tex: 70463 bytes, is(are) stored in gzipped
form as 0312300.gz with size 17kb. The corresponding postcript file has
gzipped size 92kb.
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
or
http://arXiv.org/abs/math.OA/0312300
or by email in unzipped form by transmitting an empty message with
subject line
uget 0312300
or in gzipped form by using subject line
get 0312300
to: math at arXiv.org.
From alspach Wed Dec 24 11:28:11 2003
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 hBOHSBm17429;
Wed, 24 Dec 2003 11:28:11 -0600
Date: Wed, 24 Dec 2003 11:28:11 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200312241728.hBOHSBm17429 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Serguei Samborski
Status: R
This is an announcement for the paper "On linearity of differentiation
in nonsmooth analysis" by Serguei Samborski.
Abstract: We introduce a real vector space composed of set-valued maps
on an open set X and note it by S. It is a complete metric space and a
complete lattice. The set of continuous functions on X is dense in S as in
a metric space and as in a lattice. Thus the constructed space plays the
same role for the space of continuous functions with uniform convergence
as the field of reals plays for the field of rationals. The classical
gradient may be extended in the space S as a close operator. If a function
f belongs to its domain then f is locally lipschitzian and the values
of our gradient coincide with the values of Clarke's gradient. However,
unlike Clarke's gradient, our gradient is a linear operator.
Archive classification: Optimization and Control; Functional Analysis
Mathematics Subject Classification: 26B05; 28A15; 46J05; 49J52 (Primary);
49J53 (Secondary)
The source file(s), index.htm: 1663 bytes, sambor_linearity_eng_1_01.png:
22618 bytes, sambor_linearity_eng_1_02.png: 29984 bytes,
sambor_linearity_eng_1_03.png: 24474 bytes, sambor_linearity_eng_1_04.png:
25181 bytes, sambor_linearity_eng_1_05.png: 22716 bytes,
sambor_linearity_eng_1_06.png: 23804 bytes, sambor_linearity_eng_1_07.png:
31606 bytes, sambor_linearity_eng_1_08.png: 25813 bytes,
sambor_linearity_eng_1_09.png: 28984 bytes, sambor_linearity_eng_1_10.png:
27836 bytes, sambor_linearity_eng_1_11.png: 25765 bytes,
sambor_linearity_eng_1_12.png: 22091 bytes, sambor_linearity_eng_1_13.png:
26390 bytes, sambor_linearity_eng_1_14.png: 27191 bytes,
sambor_linearity_eng_1_15.png: 22139 bytes, sambor_linearity_eng_1_16.png:
25881 bytes, sambor_linearity_eng_1_17.png: 22508 bytes,
sambor_linearity_eng_1_18.png: 22368 bytes, is(are) stored in gzipped
form as 0312206.tar.gz with size 432kb. The corresponding postcript file
has gzipped size .
Submitted from: samborsk at math.unicaen.fr
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.OC/0312206
or
http://arXiv.org/abs/math.OC/0312206
or by email in unzipped form by transmitting an empty message with
subject line
uget 0312206
or in gzipped form by using subject line
get 0312206
to: math at arXiv.org.
From alspach at ms417l.math.okstate.edu Fri Dec 26 13:27:28 2003
Date: Fri, 26 Dec 2003 07:43:59 -0600
From: Dale Alspach <alspach at math.okstate.edu>
To: banach at math.okstate.edu
Subject: Banach space BBS unavailable
Because of some upgrading of servers the Banach space BBS will be
unavailable during the next two weeks. The web pages will still be up
but subscription changes and distribution of email messages may not
be possible.
Dale Alspach
From alspach Mon Feb 2 08:15:20 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 i12EFKs27515;
Mon, 2 Feb 2004 08:15:20 -0600
Date: Mon, 2 Feb 2004 08:15:20 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200402021415.i12EFKs27515 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: 252736 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 325kb.
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
or by email in unzipped form by transmitting an empty message with
subject line
uget 0312522
or in gzipped form by using subject line
get 0312522
to: math at arXiv.org.
Return to the subject file.
Return to the Banach home page.