Geometric Nonlinear Functional Analysis, Volume 1

ISBN-13: 9780821808351 / Angielski / Twarda / 1999 / 313 str.

Yoav Benyamini; J. Lindenstrauss

Opis

This volume presents a systematic and unified study of geometric nonlinear functional analysis. This area has its classical roots in the beginning of the 20th century and is 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 (for example, differentiability, stability, approximation, existence of extensions and fixed points). This study leads naturally also to the classification of Banach spaces and of their important subsets (mainly spheres) in the uniform and Lipschitz categories.