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Item Details
Title: GEOMETRIC NONLINEAR FUNCTIONAL ANALYSIS
Volume: v. 1
By: Yoav Benyamini, Joram Lindenstrauss
Format: Hardback

List price: £87.00


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ISBN 10: 0821808354
ISBN 13: 9780821808351
Publisher: AMERICAN MATHEMATICAL SOCIETY
Pub. date: 15 December, 1999
Series: Colloquium Publications
Pages: 313
Description: Presents a systematic and unified study of geometric nonlinear functional analysis. This book presents a study of uniformly continuous and Lipschitz functions between Banach spaces, which leads naturally also to the classification of Banach spaces and of their important subsets (mainly spheres) in the uniform and Lipschitz categories.
Synopsis: The book presents a systematic and unified study of geometric nonlinear functional analysis. This area has its classical roots in the beginning of the twentieth century and is now a very active research area, having close connections to geometric measure theory, probability, classical analysis, combinatorics, and Banach space theory. The main theme of the book is the study of uniformly continuous and Lipschitz functions between Banach spaces (e.g., differentiability, stability, approximation, existence of extensions, fixed points, etc.). This study leads naturally also to the classification of Banach spaces and of their important subsets (mainly spheres) in the uniform and Lipschitz categories. Many recent rather deep theorems and delicate examples are included with complete and detailed proofs. Challenging open problems are described and explained, and promising new research directions are indicated.
Publication: US
Imprint: American Mathematical Society
Returns: Returnable
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