Introduction to Banach Spaces. Volume 1

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

478 pages, parution le 30/10/2017

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Résumé

Daniel Li is a Professor at Université d'Artois, France.Translated from the French.Preface; Preliminary chapter; 1. Fundamental notions of probability; 2. Bases in Banach spaces; 3. Unconditional convergence; 4. Banach space valued random variables; 5. Type and cotype of Banach spaces. Factorisation through a Hilbert space; 6. p-summing operators. Applications; 7. Some properties of Lp-spaces; 8. The space l1; Annex. Banach algebras, compact Abelian groups; 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. In volume 2, 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: 'carefully written and edited... The exposition is clear, precise and lively, and the text makes very good reading.' Eve Oja, Zentralblatt Math

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 SocietyCambridge Studies in Advanced Mathematics166

Caractéristiques techniques

	PAPIER
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	478
Format	152 x 228
Poids	968g
EAN13	9781107160514

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Introduction to Banach Spaces. Volume 1

Résumé

Caractéristiques techniques

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