Banach January 2006

banach@mathdept.okstate.edu

3 participants
7 discussions

Conference to Celebrate the Life and Work of Vladimir Gurariy
by Dale Alspach 25 Jan '06

25 Jan '06

Dear Friends, The Department of Mathematical Sciences of Kent State University is planning a Conference to Celebrate the Life and Work of Vladimir Gurariy. The meeting will take place on Friday-Saturday, March 10-11, 2006. There will be several components to this meeting which will only be able to touch on the contributions, in so many different areas, that Vladimir made. In particular, speakers at the meeting will include Per Enflo (Kent), Wolfgang Lusky (Paderborn), Mikhail Ostrovskii (New York), Peter Sarnak (Princeton), and Juan Seoane (Kent). We anticipate several other speakers, and we also invite participants to offer talks at this meeting. In addition, there will be a concert on Friday evening featuring performances of piano and vocal music composed by Vladimir. It will be a great help to the organizers if people could let us know of their intended participation. With thanks and best wishes, Richard Aron (aron(a)math.kent.edu), Joe Diestel (j_diestel(a)hotmail.com), Per Enflo (enflo(a)math.kent.edu), Victor Lomonosov (lomonoso(a)math.kent.edu), Andrew Tonge (tonge(a)math.kent.edu), and Artem Zvavitch (zvavitch(a)math.kent.edu).

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Abstract of a paper by Jakub Duda and Boaz Tsaban
by Dale Alspach 24 Jan '06

24 Jan '06

This is an announcement for the paper "Games in Banach spaces: Questions and several answers" by Jakub Duda and Boaz Tsaban. Abstract: Aronszajn-null sets are a notion of negligible sets for infinite dimensional Banach spaces generalizing Lebesgue measure zero sets on the real line and the Euclidean space. We present a game-theoretic approach to Aronszajn null sets, and discuss the ensuing open problems. Archive classification: Functional Analysis; Logic Remarks: Call for solutions The source file(s), Anull4.tex: 22039 bytes, is(are) stored in gzipped form as 0601556.gz with size 7kb. The corresponding postcript file has gzipped size 42kb. Submitted from: boaz.tsaban(a)weizmann.ac.il The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0601556 or http://arXiv.org/abs/math.FA/0601556 or by email in unzipped form by transmitting an empty message with subject line uget 0601556 or in gzipped form by using subject line get 0601556 to: math(a)arXiv.org.

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Abstract of a paper by Denny H. Leung and Wee-Kee Tang
by Dale Alspach 24 Jan '06

24 Jan '06

This is an announcement for the paper "More mixed Tsirelson spaces that are not isomorphic to their modified versions" by Denny H. Leung and Wee-Kee Tang. Abstract: The class of mixed Tsirelson spaces is an important source of examples in the recent development of the structure theory of Banach spaces. The related class of modifed mixed Tsirelson spaces has also been well studied. In the present paper, we investigate the problem of comparing isomorphically the mixed Tsirelson space T[(S_n,\theta_{n})_{n=1}^{\infty}] and its modified version T_{M}[(S_{n},\theta_{n})_{n=1}^{\infty}]. It is shown that these spaces are not isomorphic for a large class of parameters (\theta_{n}). Archive classification: Functional Analysis Mathematics Subject Classification: 46B20; 46B45 The source file(s), LeungTangModMTS.tex: 95277 bytes, is(are) stored in gzipped form as 0601542.gz with size 23kb. The corresponding postcript file has gzipped size 117kb. Submitted from: wktang(a)nie.edu.sg The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0601542 or http://arXiv.org/abs/math.FA/0601542 or by email in unzipped form by transmitting an empty message with subject line uget 0601542 or in gzipped form by using subject line get 0601542 to: math(a)arXiv.org.

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JOURNALS CALLING FOR PAPERS
by George Anastassiou 18 Jan '06

18 Jan '06

Journals are Calling for Papers Journal of Computational Analysis and Applications(JoCAAA), Journal of Concrete and Applicable Mathematics(JCAAM), Journal of Applied Functional Analysis(JAFA) are calling for high quality articles for possible publication. Above journals publish in the broad areas of Applied,Computational and Numerical Mathematics and also their connections to Pure Mathematics. For more details,scopes,information to authors,editorial boards,etc please visit: www.eudoxuspress.com -- George A. Anastassiou,Ph.D Professor of Mathematics Department of Mathematical Sciences The University of Memphis,Memphis,TN 38152,USA Editor-In-Chief JoCAAA, JCAAM,JAFA;World Sci.Publ.Book Series: Concrete & Applicable Math. Springer Consultant-Editor in computational math books Birkhauser Consultant Editor in A.M.Sci. CRC-A.M. Advisor NOVA MATH books ADVISOR EUDOXUS PRESS LLC PRESIDENT anastasg(a)msci.memphis.edu ganastss(a)memphis.edu http://www.EudoxusPress.com http://www.msci.memphis.edu/~ganastss/jocaaa http://www.msci.memphis.edu/~ganastss/jcaam http://www.msci.memphis.edu/~ganastss/jafa tel:(INT 001)- 901-678-3144 office 901-751-3553 home 901-678-2482 secr. Fax: 901-678-2480

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Abstract of a paper by S. Artstein-Avidan, O. Friedland, V. Milman, and S. Sodin
by Dale Alspach 17 Jan '06

17 Jan '06

This is an announcement for the paper "Polynomial bounds for large Bernoulli sections of $\ell_1^N$" by S. Artstein-Avidan, O. Friedland, V. Milman, and S. Sodin. Abstract: We prove a quantitative version of the bound on the smallest singular value of a Bernoulli covariance matrix (due to Bai and Yin). Then we use this bound, together with several recent developments, to show that the distance from a random (1-delta) n - dimensional section of l_1^n, realised as an image of a sign matrix, to an Euclidean ball is polynomial in 1/delta (and independent of n), with high probability. Archive classification: Functional Analysis; Metric Geometry; Mathematical Physics Remarks: 22 pages The source file(s), polyl13.tex: 38003 bytes, is(are) stored in gzipped form as 0601369.gz with size 13kb. The corresponding postcript file has gzipped size 68kb. Submitted from: sodinale(a)post.tau.ac.il The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0601369 or http://arXiv.org/abs/math.FA/0601369 or by email in unzipped form by transmitting an empty message with subject line uget 0601369 or in gzipped form by using subject line get 0601369 to: math(a)arXiv.org.

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Abstract of a paper by A. Brudnyi and Yu. Brudnyi
by Dale Alspach 15 Jan '06

15 Jan '06

This is an announcement for the paper "A universal Lipschitz extension property of Gromov hyperbolic spaces" by A. Brudnyi and Yu. Brudnyi. Abstract: A metric space has the universal Lipschitz extension property if for each subspace S embedded quasi-isometrically into an arbitrary metric space M there exists a continuous linear extension of Banach-valued Lipschitz functions on S to those on all of M. We show that the finite direct sum of Gromov hyperbolic spaces of bounded geometry is universal in the sense of this definition. Archive classification: Metric Geometry; Functional Analysis Mathematics Subject Classification: Primary 26B35, Secondary 54E35, 46B15 Remarks: 31 pages The source file(s), univ.tex: 78011 bytes, is(are) stored in gzipped form as 0601205.gz with size 22kb. The corresponding postcript file has gzipped size 105kb. Submitted from: albru(a)math.ucalgary.ca The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.MG/0601205 or http://arXiv.org/abs/math.MG/0601205 or by email in unzipped form by transmitting an empty message with subject line uget 0601205 or in gzipped form by using subject line get 0601205 to: math(a)arXiv.org.

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Abstract of a paper by Roman Vershynin
by Dale Alspach 09 Jan '06

09 Jan '06

This is an announcement for the paper "Random sets of isomorphism of linear operators on Hilbert space" by Roman Vershynin. Abstract: This note deals with a problem of the probabilistic Ramsey theory. Given a linear operator T on a Hilbert space with an orthogonal basis, we define the isomorphic structure Sigma(T) as the family of all finite subsets of the basis such that T restricted to their span is a nice isomorphism. We give an optimal bound on the size of Sigma(T). This improves and extends in several ways the principle of restricted invertibility due to Bourgain and Tzafriri. With an appropriate notion of randomness, we obtain a randomized principle of restricted invertibility. Archive classification: Functional Analysis; Probability Mathematics Subject Classification: 46B09 Remarks: 10 pages The source file(s), imsart.sty: 47558 bytes, sets-of-isomorphism.tex: 27134 bytes, is(are) stored in gzipped form as 0601112.tar.gz with size 21kb. The corresponding postcript file has gzipped size 51kb. Submitted from: vershynin(a)math.ucdavis.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0601112 or http://arXiv.org/abs/math.FA/0601112 or by email in unzipped form by transmitting an empty message with subject line uget 0601112 or in gzipped form by using subject line get 0601112 to: math(a)arXiv.org.

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Banach January 2006