Introduction to Banach Spaces: Analysis and Probability by Daniel Li

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Introduction to Banach Spaces: Analysis and Probability by Daniel Li

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Part of Introduction To Banach Spaces: Analysis And Probability 2 Volume Hardback Set series

Summary

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.

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Introduction to Banach Spaces: Analysis and Probability by Daniel Li

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.

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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
Daniel Li is a Professor at Université d'Artois, France. Hervé Queffélec is Emeritus Professor at Université de Lille I, France. He has published over 60 papers, two research books, and four textbooks, including Twelve Landmarks of Twentieth-Century Analysis (Cambridge, 2015).
SKU Unavailable
ISBN 13 9781107162624
ISBN 10 1107162629
Title Introduction to Banach Spaces: Analysis and Probability
Author Daniel Li
Series Introduction To Banach Spaces: Analysis And Probability 2 Volume Hardback Set
Condition Unavailable
Publisher Cambridge University Press
Year published 2017-11-02
Number of pages 402
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.