May 2009 - Banach - mathdept.okstate.edu

Abstract of a paper by Detelin Dosev and William B. Johnson
by alspach＠fourier.math.okstate.edu 01 May '09

01 May '09

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(a)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(a)arXiv.org.

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Abstract of a paper by Pascal Lefevre, Daniel Li, Herve Queffelec, and Luis Rodriguez-Piazza
by alspach＠fourier.math.okstate.edu 01 May '09

01 May '09

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(a)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(a)arXiv.org.

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Abstract of a paper by David Alonso-Gutierrez, Jesus Bastero, Julio Bernues, and Pawel Wolff
by alspach＠fourier.math.okstate.edu 01 May '09

01 May '09

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(a)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(a)arXiv.org.

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Abstract of a paper by Daniel Li, Herve Queffelec, Luis Rodriguez-Piazza
by alspach＠fourier.math.okstate.edu 01 May '09

01 May '09

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(a)arXiv.org.

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Abstract of a paper by V. Kanellopoulos and K. Tyros
by alspach＠fourier.math.okstate.edu 01 May '09

01 May '09

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(a)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(a)arXiv.org.

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Abstract of a paper by Christopher King and Nilufer Koldan
by alspach＠fourier.math.okstate.edu 01 May '09

01 May '09

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(a)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(a)arXiv.org.

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