Introduction to Banach Spaces: Analysis and Probability 2 Volume Hardback Set (Series Numbers 166-167) (Cambridge Studies in Advanced Mathematics)

Li, Daniel; Queffélec, Hervé

ISBN 10: 1107162637 / ISBN 13: 9781107162631

Published by Cambridge University Press, 2017

About this Item

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Bibliographic Details

• Title: Introduction to Banach Spaces: Analysis and Probability 2 Volume Hardback Set (Series Numbers 166-167) (Cambridge Studies in Advanced Mathematics)
• Publisher: Cambridge University Press
• Publication Date: 2017
• Language: English
• ISBN 10: 1107162637
• ISBN 13: 9781107162631
• Binding: Hardcover
• Condition: like_new

About this title

Synopsis

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.

About the Authors

Daniel Li is a Professor at Université d'Artois, France.

Hervé Queffélec is Emeritus Professor at Université de Lille I. He has published over sixty papers, two research books, and four textbooks, including Twelve Landmarks of Twentieth-Century Analysis (2015).