| Introduction to Banach Spaces: Analysis and Probability: Volume 1 Contributor(s): Li, Daniel (Author), Queffélec, Hervé (Author), Gibbons, Danièle (Translator) |
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ISBN: 1107160510 ISBN-13: 9781107160514 Publisher: Cambridge University Press OUR PRICE: $105.45 Product Type: Hardcover - Other Formats Published: November 2017 |
| Additional Information |
| BISAC Categories: - Mathematics | Algebra - Abstract - Mathematics | Mathematical Analysis |
| Series: Cambridge Studies in Advanced Mathematics (Hardcover) |
| Physical Information: 1.18" H x 6.5" W x 9.48" (1.63 lbs) 460 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |
Contributor Bio(s): Li, Daniel: - Daniel Li is a Professor at Universit� d'Artois, France.Queffelec, Herve: - 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). |