Author | Lin, Pei-Kee. author |
---|---|
Title | Kรถthe-Bochner Function Spaces [electronic resource] / by Pei-Kee Lin |
Imprint | Boston, MA : Birkhรคuser Boston : Imprint: Birkhรคuser, 2004 |
Connect to | http://dx.doi.org/10.1007/978-0-8176-8188-3 |
Descript | XIII, 370 p. online resource |
1 Classical Theorems -- 1.1 Preliminaries -- 1.2 Basic Sequences -- 1.3 Banach Spaces Containing l1 or c0 -- 1.4 Jamesโs Theorem -- 1.5 Continuous Function Spaces -- 1.6 The Dunford-Pettis Property -- 1.7 The Pe?czynski Property (V*) -- 1.8 Tensor Products of Banach Spaces -- 1.9 Conditional Expectation and Martingales -- 1.10 Notes and Remarks -- 1.11 References -- 2 Convexity and Smoothness -- 2.1 Strict Convexity and Uniform Convexity -- 2.2 Smoothness -- 2.3 Banach-Saks Property -- 2.4 Notes and Remarks -- 2.5 References -- 3 Kรถthe-Bochner Function Spaces -- 3.1 Kรถthe Function Spaces -- 3.2 Strongly and Scalarly Measurable Functions -- 3.3 Vector Measure -- 3.4 Some Basic Results -- 3.5 Dunford-Pettis Operators -- 3.6 The Radon-Nikodรฝm Property -- 3.7 Notes and Remarks -- 3.8 References -- 4 Stability Properties I -- 4.1 Extreme Points and Smooth Points -- 4.2 Strongly Extreme and Denting Points -- 4.3 Strongly and w*-Strongly Exposed Points -- 4.4 Notes and Remarks -- 4.5 References -- 5 Stability Properties II -- 5.1 Copies of c0 in E(X) -- 5.2 The Dรญaz-Kalton Theorem -- 5.3 Talagrandโs L1(X)-Theorem -- 5.4 Property (V*) -- 5.5 The Talagrand Spaces -- 5.6 The Banach-Saks Property -- 5.7 Notes and Remarks -- 5.8 References -- 6 Continuous Function Spaces -- 6.1 Vector-Valued Continuous Functions -- 6.2 The Dieudonnรฉ Property in C(K, X) -- 6.3 The Hereditary Dunford-Pettis Property -- 6.4 Projective Tensor Products -- 6.5 Notes and Remarks -- 6.6 References