Introduction to Banach Spaces: Analysis and Probability: Volume 1 (Cambridge Studies in Advanced Mathematics, Series Number 166) - Hardcover

Book 98 of 151: Cambridge Studies in Advanced Mathematics

Li, Daniel; Queffélec, Hervé

 
9781107160514: Introduction to Banach Spaces: Analysis and Probability: Volume 1 (Cambridge Studies in Advanced Mathematics, Series Number 166)

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.

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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).

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