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Geometric Nonlinear Functional Analysis: Volume 1: v. 1 (Colloquium Publications) - Hardcover

 
9780821808351: Geometric Nonlinear Functional Analysis: Volume 1: v. 1 (Colloquium Publications)

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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.

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  • PublisherAmerican Mathematical Society
  • Publication date2000
  • ISBN 10 0821808354
  • ISBN 13 9780821808351
  • BindingHardcover
  • LanguageEnglish
  • Number of pages313

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Published by American Mathematical Society, 1999
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Buch. Condition: Neu. Neuware - 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. Seller Inventory # 9780821808351

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