Handbook of the Geometry of Banach Spaces: Vol. 2

Johnson W.B. (ed.), Lindenstrauss J. (ed.)

The Handbook presents an overview of most aspects of modernBanach space theory and its applications. The up-to-date surveys, authored by leading research workers in the area, are written to be accessible to a wide audience. In addition to presenting the state of the art of Banach space theory, the surveys discuss the relation of the subject with such areas as harmonic analysis, complex analysis, classical convexity, probability theory, operator theory, combinatorics, logic, geometric measure theory, and partial differential equations.The Handbook begins with a chapter on basic concepts in Banachspace theory which contains all the background needed for reading any other chapter in the Handbook. Each of the twenty one articles in this volume after the basic concepts chapter is devoted to one specific direction of Banach space theory or its applications. Each article contains a motivated introduction as well as an exposition of the main results, methods, and open problems in its specific direction. Most have an extensive bibliography. Many articles contain new proofs of known results as well as expositions of proofs which are hard to locate in the literature or are only outlined in the original research papers.As well as being valuable to experienced researchers in Banach space theory, the Handbook should be an outstanding source for inspiration and information to graduate students and beginning researchers. The Handbook will be useful for mathematicians who want to get an idea of the various developments in Banach space theory.

---

Table of contents :
books_005……Page 1
books_004……Page 2
books_003……Page 3
books_002……Page 4
1……Page 5
2……Page 7
3……Page 8
4……Page 71
5……Page 98
6……Page 130
7……Page 175
8……Page 199
9……Page 245
10……Page 296
11……Page 330
12……Page 358
13……Page 421
14……Page 455
15……Page 514
16……Page 542
17……Page 598
18……Page 630
19……Page 665
20……Page 697
21……Page 736
22……Page 810
23……Page 812
24……Page 814
25……Page 815
26……Page 816
27……Page 840