Sequences and Series in Banach Spaces
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Title page Preface Some Standard Notations and Conventions Contents (detailed but unpaginated) I. Riesz's Lemma and Compactness in Banach Spaces II. The Weak and Weak* Topologies: an Introduction III. The Eberlein-Smulian Theorem IV. The Orlicz-Pettis Theorem V. Basic Sequences VI. The Dvoretsky-Rogers Theorem VII. The Classical Banach Spaces VIII. Weak Convergence and Unconditionally Convergent Series in Uniformly Convex Spaces IX. Extremal Tests for Weak Convergence of Sequences and Series X. Grothendieck's Inequality and the Grothendieck-Lindenstrauss-Pelczynski Cycle of Ideas An Intermission: Ramsey's theorem XI. Rosenthal's l₁-theorem XII. The Josefson-Nissenzweig Theorem XIII. Banach Spaces with Weak*-Sequentially Compact Dual Balls XIV. The Elton-Odell (1+ε)-Separation Theorem Index
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