Banach

banach@mathdept.okstate.edu

2549 discussions

Abstract of a paper by Daniel Galicer and Roman Villafane
by alspach＠math.okstate.edu 05 Feb '14

05 Feb '14

This is an announcement for the paper "Coincidence of extendible vector-valued ideals with their minimal" by Daniel Galicer and Roman Villafane. Abstract: We provide coincidence results for vector-valued ideals of multilinear operators. More precisely, if $\mathfrak A$ is an ideal of $n$-linear mappings we give conditions for which the following equality $\mathfrak A(E_1,\dots,E_n;F) = {\mathfrak A}^{min}(E_1,\dots,E_n;F)$ holds isometrically. As an application, we obtain in many cases that the monomials form a Schauder basis on the space $\mathfrak A(E_1,\dots,E_n;F)$. Several structural and geometric properties are also derived using this equality. We apply our results to the particular case where $\mathfrak A$ is the classical ideal of extendible or Pietsch-integral multilinear operators. Similar statements are given for ideals of vector-valued homogeneous polynomials. For our purposes we also establish a vector-valued version of the Littlewood-Bogdanowicz-Pe{\l}czy\'nski theorem, which we believe is interesting in its own right. Archive classification: math.FA Mathematics Subject Classification: 46G25, 46B22, 46M05, 47H60 Remarks: 25 pages Submitted from: dgalicer(a)dm.uba.ar The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1401.7896 or http://arXiv.org/abs/1401.7896

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Abstract of a paper by Domenico Candeloro and Anna Rita Sambucini
by alspach＠math.okstate.edu 05 Feb '14

05 Feb '14

This is an announcement for the paper "Filter convergence and decompositions for vector lattice-valued" by Domenico Candeloro and Anna Rita Sambucini. Abstract: Filter convergence of vector lattice-valued measures is considered, in order to deduce theorems of convergence for their decompositions. First the $\sigma$-additive case is studied, without particular assumptions on the filter; later the finitely additive case is faced, first assuming uniform $s$-boundedness (without restrictions on the filter), then relaxing this condition but imposing stronger properties on the filter. In order to obtain the last results, a Schur-type convergence theorem is used. Archive classification: math.FA Mathematics Subject Classification: 28B15, 28B05, 06A06, 54F05 Report Number: 0901688 30 jan 2014 Remarks: 18 pages Submitted from: anna.sambucini(a)unipg.it The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1401.7818 or http://arXiv.org/abs/1401.7818

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Abstract of a paper by Umut Caglar and Elisabeth M. Werner
by alspach＠math.okstate.edu 05 Feb '14

05 Feb '14

This is an announcement for the paper "Mixed f-divergence and inequalities for log concave functions" by Umut Caglar and Elisabeth M. Werner. Abstract: Mixed f-divergences, a concept from information theory and statistics, measure the difference between multiple pairs of distributions. We introduce them for log concave functions and establish some of their properties. Among them are affine invariant vector entropy inequalities, like new Alexandrov-Fenchel type inequalities and an affine isoperimetric inequality for the vector form of the Kullback Leibler divergence for log concave functions. Special cases of f-divergences are mixed L_\lambda-affine surface areas for log concave functions. For those, we establish various affine isoperimetric inequalities as well as a vector Blaschke Santalo type inequality. Archive classification: math.FA Submitted from: elisabeth.werner(a)case.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1401.7065 or http://arXiv.org/abs/1401.7065

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Abstract of a paper by Maria Roginskaya and Michal Wojciechowski
by alspach＠math.okstate.edu 05 Feb '14

05 Feb '14

This is an announcement for the paper "Bounded Approximation Property for Sobolev spaces on simply-connected planar domains" by Maria Roginskaya and Michal Wojciechowski. Abstract: We show that Sobolev space $W^1_1(\Omega)$ of any planar one-connected domain $\Omega$ has the Bounded Approximation property. The result holds independently from the properties of the boundary of $\Omega$. The prove is based on a new decomposition of a planar domain. Archive classification: math.FA Submitted from: maria.roginskaya(a)chalmers.se The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1401.7131 or http://arXiv.org/abs/1401.7131

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Abstract of a paper by Pierre Youssef
by alspach＠math.okstate.edu 05 Feb '14

05 Feb '14

This is an announcement for the paper "Extractig a basis with fixed block inside a matrix" by Pierre Youssef. Abstract: Given $U$ an $n\times m$ matrix of rank $n$ and $V$ block of columns inside $U$, we consider the problem of extracting a block of columns of rank $n$ which minimize the Hilbert-Schmidt norm of the inverse while preserving the block $V$. This generalizes a previous result of Gluskin-Olevskii, and improves the estimates when given a "good" block $V$. Archive classification: math.FA Submitted from: pierre.youssef(a)univ-mlv.fr The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1401.6434 or http://arXiv.org/abs/1401.6434

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Abstract of a paper by Cesar Ruiz and Victor M. Sanchez
by alspach＠math.okstate.edu 05 Feb '14

05 Feb '14

This is an announcement for the paper "Nonlinear subsets of functions spaces and spaceability" by Cesar Ruiz and Victor M. Sanchez. Abstract: In this paper, we study the existence of infinite dimensional closed linear subspaces of a rearrangement invariant space on [0,1] every nonzero element of which does not belong to any included rearrangement invariant space of the same class such that the inclusion operator is disjointly strictly singular. We consider Lorentz, Marcinkiewicz and Orlicz spaces. The answer is affirmative for Marcinkiewicz spaces and negative for Lorentz and Orlicz spaces. Also, the same problem is studied for Nakano spaces assuming different hypothesis. Archive classification: math.FA Mathematics Subject Classification: 46E30 Remarks: 11 pages Submitted from: victorms(a)mat.ucm.es The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1401.5906 or http://arXiv.org/abs/1401.5906

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Abstract of a paper by Timur Oikhberg and Eugeniu Spinu
by alspach＠math.okstate.edu 05 Feb '14

05 Feb '14

This is an announcement for the paper "Subprojective Banach spaces" by Timur Oikhberg and Eugeniu Spinu. Abstract: A Banach space $X$ is called subprojective if any of its infinite dimensional subspaces $Y$ contains a further infinite dimensional subspace complemented in $X$. This paper is devoted to systematic study of subprojectivity. We examine the stability of subprojectivity of Banach spaces under various operations, such us direct or twisted sums, tensor products, and forming spaces of operators. Along the way, we obtain new classes of subprojective spaces. Archive classification: math.FA Submitted from: spinu(a)ualberta.ca The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1401.4231 or http://arXiv.org/abs/1401.4231

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Conference Announcement
by Krzysztof Jarosz 25 Jan '14

25 Jan '14

7th Conference on Function Spaces will take place at the SIUE campus between May 20 and May 24, 2014: http://www.siue.edu/MATH/conference2014/ We received an NSF grant to defer travel and local cost primarily for the participants without other sources of funding. Krzysztof Jarosz Department of Mathematics and Statistics Southern Illinois University Edwardsville Edwardsville, IL 62026-1653, USA tel.: (618) 650-2354 fax: (618) 650-3771 e-mail: kjarosz(a)siue.edu http://www.siue.edu/~kjarosz/

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Integration, Vector Measures and Related Topics VI
by Grzegorz Plebanek 24 Jan '14

24 Jan '14

2nd announcement on the conference *** Integration, Vector Measures and Related Topics VI *** June 15 - 21, 2014 *** the Mathematical Research and Conference Center in Bedlewo (near Poznan, Poland), Registration and more information on the conference webpage: http://www.math.uni.wroc.pl/~drygier/ivmrt2014/ Invited speakers: Antonio Aviles (Murcia), Erik J. Balder (Utrecht), Oscar Blasco (Valencia) Guillermo Curbera (Sevilla), Luisa Di Piazza (Palermo), Harold Garth Dales (Lancaster) Joe Diestel (Kent), Christian Hess (Paris), Marian Fabian (Prague), David H. Fremlin (Colchester) Ondrej Kalenda (Prague), Zbigniew Lipecki (Wrocław), Jose Rodriguez (Murcia) The organizing committee: M. Balcerzak, M. Cichon, K. Musial, G. Plebanek

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Universality Meeting, Kent State University, April 11 - 13, 2014
by Dale Alspach 23 Jan '14

23 Jan '14

Announcing an Informal Analysis Seminar focusing on Universality Friday afternoon, April 11, 2014 through early Sunday afternoon, April 13, 2014 This meeting has received generous funding from Elsevier, with additional support from Kent State University. This meeting should be especially attractive to non-specialists, and in particular to students and new PhD's. The reason is that the Friday afternoon session is being devoted to three expository talks, aimed at a non- specialist audience, on Universality by three excellent speakers: Paul Gauthier (Montreal), Pamela Gorkin (Bucknell), and Vassili Nestoridis (Athens). Our speakers on Saturday and Sunday will be Juan Bès, Kit Chan, Paul Gauthier, Pamela Gorkin, Manuel Maestre, Myrto Manolaki, Vassili Nestoridis, and Rebecca Sanders. Also, there is a reasonable possibility of (very) partial support for students and junior participants. Registration is free, but we ask intending participants to let us know of their interest. For further information, please consult: http://www.math.kent.edu/~zvavitch/informal/Informal_Analysis_Seminar/April… and/or contact Richard Aron at aron(a)math.kent.edu .

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