Introduction to Banach Spaces: Analysis and Probability: Volume 2 (Cambridge Studies in Advanced Mathematics, Series Number 167) - Hardcover

Li, Daniel; Queffélec, Hervé

Hardcover

ISBN 10: 1107162629 ISBN 13: 9781107162624

Publisher: Cambridge University Press, 2017

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. Four leading experts also provide surveys outlining major developments in the field since the publication of the original French edition.

About this title

About the Authors

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).

Edition details

• Publisher: Cambridge University Press
• Publication date: 2017
• Language: English
• ISBN 10: 1107162629
• ISBN 13: 9781107162624
• Binding: Hardcover
• Number of pages: 402