Banach February 2007

banach@mathdept.okstate.edu

3 participants
10 discussions

Call for papers for Banach J. Math.
by Dale Alspach 21 Feb '07

21 Feb '07

XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Call for Papers for Banach J. Math. [apologies for multiple postings] Dear ISDE Members, It is my pleasure to invite you most cordially to submit your original research papers or critical survey articles (within the scope of the Journal) for possible publication in "Banach Journal of Mathematics (BJM)" and to promote our journal among your fellow-workers and colleagues. A publishing of your paper will contribute so much for the success of the journal. Following (and attached), kindly find more information about how/where to submit a paper. Kindly visit: http://www.math-analysis.org (an updated mirror) We are looking forward to receiving your contributions in the style file of BJM. Sincerely yours Mohammad Sal Moslehian Editor-in-chief of BJM Address: Department of Mathematics, P. O. Box 1159, Ferdowsi University, Mashhad 91775, Iran Tel-Fax: (+98)(511)(8828606) Fax: (+98)(511)(8828609) E-mail: moslehian(a)member.ams.org Home: http://profsite.um.ac.ir/~moslehian/

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Abstract of a paper by Zhenglu Jiang and Xiaoyong Fu
by Dale Alspach 20 Feb '07

20 Feb '07

This is an announcement for the paper "The Banach-Saks Property of the Banach product spaces" by Zhenglu Jiang and Xiaoyong Fu. Abstract: In this paper we first take a detail survey of the study of the Banach-Saks property of Banach spaces and then show the Banach-Saks property of the product spaces generated by a finite number of Banach spaces having the Banach-Saks property. A more general inequality for integrals of a class of composite functions is also given by using this property. Archive classification: Functional Analysis Mathematics Subject Classification: 46B20, 40H05, 40G05, 47F05 Remarks: 6 The source file(s), bs0206.tex: 25085 bytes, is(are) stored in gzipped form as 0702538.gz with size 8kb. The corresponding postcript file has gzipped size 91kb. Submitted from: mcsjzl(a)mail.sysu.edu.cn The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0702538 or http://arXiv.org/abs/math.FA/0702538 or by email in unzipped form by transmitting an empty message with subject line uget 0702538 or in gzipped form by using subject line get 0702538 to: math(a)arXiv.org.

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Abstract of a paper by Zhenglu Jiang and Xiaoyong Fu
by Dale Alspach 20 Feb '07

20 Feb '07

This is an announcement for the paper "The weak Banach-Saks Property of the Space $(L_\mu^p)^m$" by Zhenglu Jiang and Xiaoyong Fu. Abstract: In this paper we show the weak Banach-Saks property of the Banach vector space $(L_\mu^p)^m$ generated by $m$ $L_\mu^p$-spaces for $1\leq p<+\infty,$ where $m$ is any given natural number. When $m=1,$ this is the famous Banach-Saks-Szlenk theorem. By use of this property, we also present inequalities for integrals of functions that are the composition of nonnegative continuous convex functions on a convex set of a vector space ${\bf R}^m$ and vector-valued functions in a weakly compact subset of the space $(L_\mu^p)^m$ for $1\leq p<+\infty$ and inequalities when these vector-valued functions are in a weakly* compact subset of the product space $(L_\mu^\infty)^m$ generated by $m$ $L_\mu^\infty$-spaces. Archive classification: Functional Analysis Mathematics Subject Classification: 46B20, 40H05, 40G05, 47F05 Remarks: 7 The source file(s), jf-bs.tex: 29847 bytes, is(are) stored in gzipped form as 0702537.gz with size 8kb. The corresponding postcript file has gzipped size 104kb. Submitted from: mcsjzl(a)mail.sysu.edu.cn The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0702537 or http://arXiv.org/abs/math.FA/0702537 or by email in unzipped form by transmitting an empty message with subject line uget 0702537 or in gzipped form by using subject line get 0702537 to: math(a)arXiv.org.

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Abstract of a paper by Florent Baudier and Gilles Lancien
by Dale Alspach 12 Feb '07

12 Feb '07

This is an announcement for the paper "Embeddings of locally finite metric spaces into Banach spaces" by Florent Baudier and Gilles Lancien. Abstract: We show that if X is a Banach space without cotype, then every locally finite metric space embeds metrically into X. Archive classification: Metric Geometry; Functional Analysis Mathematics Subject Classification: 46B20; 51F99 Remarks: 6 pages, to appear in Proceedings of the AMS The source file(s), baudierlancien-final2.tex: 15038 bytes, is(are) stored in gzipped form as 0702266.gz with size 5kb. The corresponding postcript file has gzipped size 75kb. Submitted from: florent.baudier(a)univ-fcomte.fr The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.MG/0702266 or http://arXiv.org/abs/math.MG/0702266 or by email in unzipped form by transmitting an empty message with subject line uget 0702266 or in gzipped form by using subject line get 0702266 to: math(a)arXiv.org.

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Abstract of a paper by Limor Ben-Efraim and Francoise Lust-Piquard
by Dale Alspach 09 Feb '07

09 Feb '07

This is an announcement for the paper "Poincar\'{e} type inequalities on the discrete cube and in the CAR algebra" by Limor Ben-Efraim and Francoise Lust-Piquard. Abstract: We prove Lp Poincare inequalities for functions on the discrete cube and their discrete gradient. We thus recover an exponential inequality and the concentration phenomenon for the uniform probability on the cube first obtained by Bobkov and Gotze. Inequalities involving the discrete gradient and powers of the discrete Laplacian are also considered, for the Lp norm or more general ones. Similar results hold true, replacing functions on the cube by elements of the CAR algebra and considering the annihilation operators and the number operator. Archive classification: Functional Analysis Mathematics Subject Classification: 46E39, 46L57, 46L51 The source file(s), poincare-cube-final.tex: 85518 bytes, is(are) stored in gzipped form as 0702233.gz with size 21kb. The corresponding postcript file has gzipped size 182kb. Submitted from: limor_be(a)cs.huji.ac.il The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0702233 or http://arXiv.org/abs/math.FA/0702233 or by email in unzipped form by transmitting an empty message with subject line uget 0702233 or in gzipped form by using subject line get 0702233 to: math(a)arXiv.org.

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Abstract of a paper by Denka Kutzarova, Denny Leung, Antonis Manoussakis and Wee Kee Tang
by Dale Alspach 09 Feb '07

09 Feb '07

This is an announcement for the paper "Minimality properties of Tsirelson type spaces" by Denka Kutzarova, Denny Leung, Antonis Manoussakis and Wee Kee Tang. Abstract: In this paper, we study minimality properties of partly modified mixed Tsirelson spaces. A Banach space with a normalized basis (e_k) is said to be subsequentially minimal if for every normalized block basis (x_k) of (e_k), there is a further block (y_k) of (x_k) such that (y_k) is equivalent to a subsequence of (e_k). Sufficient conditions are given for a partly modified mixed Tsirelson space to be subsequentially minimal and connections with Bourgain's \ell^{1}-index are established. It is also shown that a large class of mixed Tsirelson spaces fails to be subsequentially minimal in a strong sense. Archive classification: Functional Analysis The source file(s), SubseqMinimal8A.tex: 107238 bytes, is(are) stored in gzipped form as 0702210.gz with size 27kb. The corresponding postcript file has gzipped size 176kb. Submitted from: matlhh(a)nus.edu.sg The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0702210 or http://arXiv.org/abs/math.FA/0702210 or by email in unzipped form by transmitting an empty message with subject line uget 0702210 or in gzipped form by using subject line get 0702210 to: math(a)arXiv.org.

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Abstract of a paper by Peter G. Casazza, Gitta Kutyniok, Darrin Speegle and Janet C. Tremain
by Dale Alspach 09 Feb '07

09 Feb '07

This is an announcement for the paper "A decomposition theorem for frames and the Feichtinger conjecture" by Peter G. Casazza, Gitta Kutyniok, Darrin Speegle and Janet C. Tremain. Abstract: In this paper we study the Feichtinger Conjecture in frame theory, which was recently shown to be equivalent to the 1959 Kadison-Singer Problem in $C^{*}$-Algebras. We will show that every bounded Bessel sequence can be decomposed into two subsets each of which is an arbitrarily small perturbation of a sequence with a finite orthogonal decomposition. This construction is then used to answer two open problems concerning the Feichtinger Conjecture: 1. The Feichtinger Conjecture is equivalent to the conjecture that every unit norm Bessel sequence is a finite union of frame sequences. 2. Every unit norm Bessel sequence is a finite union of sets each of which is $\omega$-independent for $\ell_2$-sequences. Archive classification: Functional Analysis Mathematics Subject Classification: 46C05; 42C15; 46L05 Remarks: 10 pages The source file(s), Decomposition_PAMS_final.tex: 35701 bytes, proc-l.cls: 2486 bytes, is(are) stored in gzipped form as 0702216.tar.gz with size 12kb. The corresponding postcript file has gzipped size 89kb. Submitted from: gitta.kutyniok(a)math.uni-giessen.de The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0702216 or http://arXiv.org/abs/math.FA/0702216 or by email in unzipped form by transmitting an empty message with subject line uget 0702216 or in gzipped form by using subject line get 0702216 to: math(a)arXiv.org.

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Abstract of a paper by W. B. Johnson and Bentuo Zheng
by Dale Alspach 08 Feb '07

08 Feb '07

This is an announcement for the paper "A characterization of subspaces and quotients of reflexive Banach spaces with unconditional basis" by W. B. Johnson and Bentuo Zheng. Abstract: We prove that the dual or any quotient of a separable reflexive Banach space with the unconditional tree property has the unconditional tree property. Then we prove that a separable reflexive Banach space with the unconditional tree property embeds into a reflexive Banach space with an unconditional basis. This solves several long standing open problems. In particular, it yields that a quotient of a reflexive Banach space with an unconditional finite dimensional decomposition embeds into a reflexive Banach space with an unconditional basis. Archive classification: Functional Analysis Mathematics Subject Classification: 46B03 The source file(s), JZh10.tex: 38045 bytes, is(are) stored in gzipped form as 0702199.gz with size 11kb. The corresponding postcript file has gzipped size 96kb. Submitted from: btzheng(a)math.tamu.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0702199 or http://arXiv.org/abs/math.FA/0702199 or by email in unzipped form by transmitting an empty message with subject line uget 0702199 or in gzipped form by using subject line get 0702199 to: math(a)arXiv.org.

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Workshop in Analysis and Probability at A&M
by Bill Johnson 01 Feb '07

01 Feb '07

Workshop in Analysis and Probability Department of Mathematics Texas A&M University Summer 2007 The Summer 2007 session of the Workshop in Analysis and Probability at Texas A&M University will be in session from July 9 until August 12. For information about the Workshop, consult the Workshop Home Page, URL http://www.math.tamu.edu/research/workshops/linanalysis/ The Informal Regional Functional Analysis Seminar (SUMIRFAS) will be held August 10-12. Speakers will include Rodrigo Banuelos, Grahame Bennett, Dmitry Panchenko, Michael Steele, and Staszek Szarek. Ken Dykema <kdykema(a)math.tamu.edu> and Michael Anshelevich <manshel(a)math.tamu.edu> are organizing a Concentration Week on "Free Probability Theory" which is designed to introduce advanced graduate students and postdocs to Free Probability. It will take place July 9-13. There will be one or two basic talks at the start for those without any previous knowledge of free probability theory. Then lecture series will be given by the following experts: Hari Bercovici, "Complex analytic and probabalistic aspects of free probability theory"; Kenley Jung, "Free entropy and operator algebras"; Alexandru Nica, "Combinatorics of free probability theory". Gideon Schechtman <gideon.schechtman(a)weizmann.ac.il> and Joel Zinn <jzinn(a)math.tamu.edu> are organizing a Concentration Week on "Probability Inequalities with Applications to High Dimensional Phenomena" that will take place August 6 - August 10. The first day will be devoted to introductory talks designed to introduce non experts to the subject. The Workshop is supported in part by grants from the National Science Foundation (NSF). Minorities, women, graduate students, and young researchers are especially encouraged to attend. For logistical support, including requests for support, please contact Cara Barton <cara(a)math.tamu.edu> or Jaime Vykukal <jaime(a)math.tamu.edu>. For more information on the Workshop itself, please contact William Johnson <johnson(a)math.tamu.edu>, David Larson <larson(a)math.tamu.edu>, Gilles Pisier <pisier(a)math.tamu.edu>, or Joel Zinn <jzinn(a)math.tamu.edu>. For information about the Concentration Week "Free Probability Theory" contact Michael Anshelevich <manshel(a)math.tamu.edu> or Ken Dykema <kdykema(a)math.tamu.edu>. For information about the Concentration Week on "Probability Inequalities with Applications to High Dimensional Phenomena", contact Joel Zinn <jzinn(a)math.tamu.edu>.

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Abstract of a paper by Ludvek Zajivcek
by Dale Alspach 01 Feb '07

01 Feb '07

This is an announcement for the paper "On Lipschitz and d.c. surfaces of finite codimension in a Banach space" by Ludvek Zajivcek. Abstract: Properties of Lipschitz and d.c. surfaces of finite codimension in a Banach space, and properties of generated $\sigma$-ideals are studied. These $\sigma$-ideals naturally appear in the differentiation theory and in the abstract approximation theory. Using these properties, we improve an unpublished result of M. Heisler which gives an alternative proof of a result of D. Preiss on singular points of convex functions. Archive classification: Functional Analysis Mathematics Subject Classification: 46T05, 58C20, 47H05 Remarks: 13 pages The source file(s), ZAJICEK2.TEX: 48703 bytes, is(are) stored in gzipped form as 0701926.gz with size 15kb. The corresponding postcript file has gzipped size 99kb. Submitted from: zajicek(a)karlin.mff.cuni.cz The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0701926 or http://arXiv.org/abs/math.FA/0701926 or by email in unzipped form by transmitting an empty message with subject line uget 0701926 or in gzipped form by using subject line get 0701926 to: math(a)arXiv.org.

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Banach February 2007