Modern Banach Space Theory — Selected Topics

Abstract

Due to lack of space, it is impossible to present in this chapter all branches of modern Banach space theory. Luckily enough, the Handbook of the Geometry of Banach Spaces (almost 2000 pages) covers most of these gaps. In particular, the reader is advised to consult the survey articles about the classical spaces L_p(M,ℳ,μ) and C(K) written by Alspach/Odell [JOHN ^⋃₁ , pp. 123–159], Johnson/Schechtman [JOHN ^⋃₁ , pp. 837–870], Koldobsky/König [JOHN ^⋃₁ , pp. 899–939], and Rosenthal [JOHN ^⋃₁ , pp. 1547–1602].