Geometric Nonlinear Functional Analysis (COLLOQUIUM PUBLICATIONS (AMER MATHEMATICAL SOC)) - Hardcover

Yoav Benyamini And Joram Lindenstrauss

Hardcover

ISBN 10: 0821808354 ISBN 13: 9780821808351

Publisher: American Mathematical Society, 1999

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.

About this title

From the Publisher

Without any doubt, this is one of the great books on nonlinear analysis which will certainly become a standard reference. It is not only a must for every math library all over the world, but also for all researchers interested in functional analysis, operator theory, geometry of Banach spaces, and nonlinear problems.

Zentralblatt f\"ur Mathematik

Edition details

• Publisher: American Mathematical Society
• Publication date: 1999
• Language: English
• ISBN 10: 0821808354
• ISBN 13: 9780821808351
• Binding: Hardcover
• Number of pages: 488