Handbook of the geometry of Banach spaces

J. Lindenstrauss, W.B. Johnson0444513051, 9780444513052, 9780080533506, 0444828427

Table of contents :
Contents of Volume 1……Page 1
Contents of Volume 2……Page 3
Preface……Page 5
List of Contributors……Page 7
23. Descriptive set theory and Banach spaces (S.A. Argyros, G. Godefroy and H.P. Rosenthal) ……Page 8
24. Ramsey methods in Banach spaces (W.T. Gowers) ……Page 72
25. Quasi-Banach spaces (N. Kalton) ……Page 100
26· Interpolation of Banach spaces (N. Kalton and S. Montgomery-Smith) ……Page 132
27. Probabilistic limit theorems in the setting of Banach spaces (M. Ledoux and J. Zinn) ……Page 178
28. Quotients of finite-dimensional Banach spaces: random phenomena (R. Mankiewicz and N. Tomczak-Jaegermann) ……Page 202
29. Banach spaces with few operators (B. Maurey) ……Page 248
30. Type, cotype and $К$-convexity (B. Maurey) ……Page 300
31. Distortion and asymptotic structure (E. Odell and Th. Schlumprecht) ……Page 334
32. Sobolev spaces (A. Pelczy’nski and M. Wojciechowski) ……Page 362
33. Operator spaces (G. Pisier) ……Page 426
34. Non-commutative $L^p$-spaces (G. Pisier and Q. Xu) ……Page 460
35. Geometric measure theory in Banach spaces (D. Preiss) ……Page 520
36. The Banach spaces $C(K)$ (H.P. Rosenthal) ……Page 548
37. Concentration, results and applications (G. Schechtman) ……Page 604
38. Uniqueness of structure in Banach spaces (L. Tzafriri) ……Page 636
39. Spaces of analytic functions with integral norm (R. Wojtaszczyk) ……Page 672
40. Extension of bounded linear operators (M. Zippin) ……Page 704
41. Nonseparable Banach spaces (V. Zizler) ……Page 744
Addenda and corrigenda to Chapter 7, Approximation properties by Peter G. Casazza ……Page 818
Addenda and corrigenda to Chapter 8, Local operator theory, random matrices and Banach spaces by K.R. Davidson and S.J. Szarek ……Page 820
Addenda and corrigenda to Chapter 11, Operator ideals by J. Diestel, H. Jarchow and A. Pietsch ……Page 822
Addenda and corrigenda to Chapter 15, Infinite dimensional convexity by V.P. Fonf, J. Lindenstrauss and R.R. Phelps ……Page 824
Author Index ……Page 826
Subject Index ……Page 850