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