Geometric Nonlinear Functional Analysis

Geometric Nonlinear Functional Analysis - American Mathematical Society Colloquium Publications

Hardback (30 Dec 1999)

Save $11.28

  • RRP $111.81
  • $100.53
Add to basket

Includes delivery to the United States

1 copy available online - Usually dispatched within 7-10 days

Publisher's 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.

Book information

ISBN: 9780821808351
Publisher: American Mathematical Society
Imprint: American Mathematical Society
Pub date:
DEWEY: 515.7
DEWEY edition: 21
Language: English
Number of pages: 313
Weight: 1256g
Height: 267mm
Width: 184mm
Spine width: 38mm