Banach

banach@mathdept.okstate.edu

2549 discussions

Abstract of a paper by Bernhard Haak, Jan van Neerven and Mark Veraar
by Dale Alspach 23 Feb '06

23 Feb '06

This is an announcement for the paper "A stochastic Datko-Pazy theorem" by Bernhard Haak, Jan van Neerven and Mark Veraar. Abstract: Let $H$ be a Hilbert space and $E$ a Banach space. In this note we present a sufficient condition for an operator $R: H\to E$ to be $\ga$--radonifying in terms of Riesz sequences in $H$. This result is applied to recover a result of Lutz Weis and the second named author on the $R$-boundedness of resolvents, which is used to obtain a Datko-Pazy type theorem for the stochastic Cauchy problem. We also present some perturbation results. Archive classification: Functional Analysis Mathematics Subject Classification: 47D06; 28C20; 46B09; 46B15; 47N30 Remarks: 10 pages The source file(s), Haak-vanNeerven-Veraar-arxiv.tex: 33344 bytes, is(are) stored in gzipped form as 0602427.gz with size 10kb. The corresponding postcript file has gzipped size 60kb. Submitted from: bernhard.haak(a)math.uni-karlsruhe.de The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0602427 or http://arXiv.org/abs/math.FA/0602427 or by email in unzipped form by transmitting an empty message with subject line uget 0602427 or in gzipped form by using subject line get 0602427 to: math(a)arXiv.org.

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Abstract of a paper by G. Androulakis and K. Beanland
by Dale Alspach 02 Feb '06

02 Feb '06

This is an announcement for the paper "A hereditarily indecomposable asymptotic $\ell_2$ Banach space" by G. Androulakis and K. Beanland. Abstract: A Hereditarily Indecomposable asymptotic $\ell_2$ Banach space is constructed. The existence of such a space answers a question of B. Maurey and verifies a conjecture of W.T. Gowers. Archive classification: Functional Analysis Mathematics Subject Classification: 46B20; 46B03 Remarks: 29 pages The source file(s), HIHilbert.tex: 98830 bytes, is(are) stored in gzipped form as 0601778.gz with size 25kb. The corresponding postcript file has gzipped size 139kb. Submitted from: kjbeanland(a)smcm.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0601778 or http://arXiv.org/abs/math.FA/0601778 or by email in unzipped form by transmitting an empty message with subject line uget 0601778 or in gzipped form by using subject line get 0601778 to: math(a)arXiv.org.

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Abstract of a paper by Michel Talagrand
by Dale Alspach 31 Jan '06

31 Jan '06

This is an announcement for the paper "Maharam's problem" by Michel Talagrand. Abstract: We construct an exhaustive submeasure that is not equivalent to a measure. This solves problems of J. von Neumann (1937) and D. Maharam (1947). Archive classification: Functional Analysis Mathematics Subject Classification: 28A12 The source file(s), s1.TEX: 75873 bytes, is(are) stored in gzipped form as 0601689.gz with size 23kb. The corresponding postcript file has gzipped size 105kb. Submitted from: spinglass(a)talagrand.net The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0601689 or http://arXiv.org/abs/math.FA/0601689 or by email in unzipped form by transmitting an empty message with subject line uget 0601689 or in gzipped form by using subject line get 0601689 to: math(a)arXiv.org.

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Abstract of a paper by Marius Junge, Christian Le Merdy and Quanhua Xu
by Dale Alspach 31 Jan '06

31 Jan '06

This is an announcement for the paper "$H^{\infty}$ functional calculus and square functions on noncommutative $L^p$-spaces" by Marius Junge, Christian Le Merdy and Quanhua Xu. Abstract: In this work we investigate semigroups of operators acting on noncommutative $L^p$-spaces. We introduce noncommutative square functions and their connection to sectoriality, variants of Rademacher sectoriality, and $H^\infty$ functional calculus. We discuss several examples of noncommutative diffusion semigroups. This includes Schur multipliers, $q$-Ornstein-Uhlenbeck semigroups, and the noncommutative Poisson semigroup on free groups. Archive classification: Functional Analysis Mathematics Subject Classification: Primary 47A60; Secondary 46L55, 46L69 Remarks: 118 pages The source file(s), JLX.tex: 355560 bytes (looks big), is(are) stored in gzipped form as 0601645.gz with size 94kb. The corresponding postcript file has gzipped size 394kb. Submitted from: qx(a)math.univ-fcomte.fr The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0601645 or http://arXiv.org/abs/math.FA/0601645 or by email in unzipped form by transmitting an empty message with subject line uget 0601645 or in gzipped form by using subject line get 0601645 to: math(a)arXiv.org.

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Abstract of a paper by Pavel Shvartsman
by Dale Alspach 31 Jan '06

31 Jan '06

This is an announcement for the paper "On extensions of Sobolev functions defined on regular subsets of metric measure spaces" by Pavel Shvartsman. Abstract: We characterize the restrictions of first order Sobolev functions to regular subsets of a homogeneous metric space and prove the existence of the corresponding linear extension operator. Archive classification: Functional Analysis Mathematics Subject Classification: 46E35 The source file(s), SobolevExtension.tex: 96827 bytes, is(are) stored in gzipped form as 0601679.gz with size 18kb. The corresponding postcript file has gzipped size 80kb. Submitted from: pshv(a)math.technion.ac.il The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0601679 or http://arXiv.org/abs/math.FA/0601679 or by email in unzipped form by transmitting an empty message with subject line uget 0601679 or in gzipped form by using subject line get 0601679 to: math(a)arXiv.org.

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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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