Diestel J. Sequences and Series in Banach Spaces

New York: Springer, 1984. — 269 p.Some Standard Notations and Conventions
Contents (detailed but unpaginated)
Riesz's Lemma and Compactness in Banach Spaces
The Weak and Weak* Topologies: an Introduction
The Eberlein-Smulian Theorem
The Orlicz-Pettis Theorem
Basic Sequences
The Dvoretsky-Rogers Theorem
The Classical Banach Spaces
Weak Convergence and Unconditionally Convergent Series in Uniformly Convex Spaces
Extremal Tests for Weak Convergence of Sequences and Series
Grothendieck's Inequality and the Grothendieck-Lindenstrauss-Pelczynski Cycle of Ideas
An Intermission: Ramsey's theorem
Rosenthal's l₁-theorem
The Josefson-Nissenzweig Theorem
Banach Spaces with Weak*-Sequentially Compact Dual Balls
The Elton-Odell (1+ε)-Separation Theorem