Title: Introduction to Banach Spaces: Analysis and Probability: Volume 1 (Cambridge Studies in Advanced Mathematics, Series Number 166)
Publisher: Cambridge University Press
Publication Date: 2017
Language: English
ISBN 10: 1107160510
ISBN 13: 9781107160514
Binding: Hardcover
Condition: 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 Universit� d'Artois, France.

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

"About this title" may belong to another edition of this title.

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