Introduction to Banach Spaces. Volume 2 Analysis and Probability

Daniel li (author)|hervé queffélec (author)|danièle gibbons (translator)|greg gibbons (translator)

412 pages, parution le 30/10/2017

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Daniel Li is a Professor at Université d'Artois, France.Translated from the French.Preface; 1. Euclidean sections; 2. Separable Banach spaces without the approximation property; 3. Gaussian processes; 4. Reflexive subspaces of L1; 5. The method of selectors. Examples of its use; 6. The Pisier space of almost surely continuous functions. Applications; Appendix. News in the theory of infinite-dimensional Banach spaces in the past twenty years G. Godefroy; An update on some problems in high dimensional convex geometry and related probabilistic results O. Guédon; A few updates and pointers G. Pisier; On the mesh condition for Sidon sets L. Rodriguez-Piazza; Bibliography; Author index; Notation index; Subject index.This two-volume text provides a complete overview of the theory of Banach spaces, emphasising its interplay with classical and harmonic analysis (particularly Sidon sets) and probability. The authors give a full exposition of all results, as well as numerous exercises and comments to complement the text and aid graduate students in functional analysis. The book will also be an invaluable reference volume for researchers in analysis. Volume 1 covers the basics of Banach space theory, operatory theory in Banach spaces, harmonic analysis and probability. The authors also provide an annex devoted to compact Abelian groups. Volume 2 focuses on applications of the tools presented in the first volume, including Dvoretzky's theorem, spaces without the approximation property, Gaussian processes, and more. Four leading experts also provide surveys outlining major developments in the field since the publication of the original French edition.IllustrationsQA322.2Banach spaces.1EnglandCambridgeDaniel Li, Hervé Queffélec ; translated by Daniele Gibbons, Greg Gibbons.Review of previous edition: 'Undoubtedly, the book will be very useful for all mathematicians (not only for postgraduate students) who work in the theory of Banach spaces, harmonic analysis and probability theory.' Anatolij M. Plichko, American Mathematical Society

Review from previous edition: '... carefully written and edited ... The exposition is clear, precise and lively, and the text makes very good reading.' Eve Oja, University of Tartu, Estonia, Zentralblatt MathCambridge Studies in Advanced Mathematics167

Caractéristiques techniques

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Éditeur(s)	Cambridge University Press
Auteur(s)	Daniel li (author)\|hervé queffélec (author)\|danièle gibbons (translator)\|greg gibbons (translator)
Parution	30/10/2017
Nb. de pages	412
Format	152 x 228
Poids	500g
EAN13	9781107162624

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Introduction to Banach Spaces. Volume 2 Analysis and Probability

Résumé

Caractéristiques techniques

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