Geometric Nonlinear Functional Analysis is popular PDF and ePub book, written by Yoav Benyamini in 1998, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Geometric Nonlinear Functional Analysis can be Read Online from any device for your convenience.
Geometric Nonlinear Functional Analysis Book PDF Summary
This 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.
Detail Book of Geometric Nonlinear Functional Analysis PDF
- Author : Yoav Benyamini
- Release : 30 September 1998
- Publisher : American Mathematical Soc.
- ISBN : 0821869639
- Genre : Mathematics
- Total Page : 512 pages
- Language : English
- PDF File Size : 11,5 Mb
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