ENGLISH

Geometric Nonlinear Functional Analysis: 1

By Yoav Benyamini and Joram Lindenstrauss

Book information

Publisher
American Mathematical Society
Year
2000
ISBN
0821808354, 9780821808351
LCC
QA321.5 .B46 2000
Open Library ID
OL34127M
Language
english
Format
DJVU
Filesize
6 MB (5803670 bytes)
Series
Colloquium Publications
Pages
489\489
Time added
2011-01-06 10:13:16

Description

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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