Introduction to Banach Spaces: Analysis and Probability

Daniel Li author Herve Queffelec author Danièle Gibbons translator Greg Gibbons translator

Format:Hardback

Publisher:Cambridge University Press

Published:2nd Nov '17

Currently unavailable, and unfortunately no date known when it will be back

Introduction to Banach Spaces: Analysis and Probability cover

This second volume of a two-volume overview focuses on the applications of Banach spaces and recent developments in the field.

This two-volume text provides a complete overview of the theory of Banach spaces. Volume 2 focuses on the applications of Banach spaces and includes four surveys outlining recent developments in the field. Written for graduate students these books are also a valuable reference for researchers in analysis.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.

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, Zentralblatt Math

ISBN: 9781107162624

Dimensions: 235mm x 158mm x 27mm

Weight: 670g

402 pages