1 Classical Theorems. - 1. 1 Preliminaries. - 1. 2 Basic Sequences. - 1. 3 Banach Spaces Containing l1 or c0. - 1. 4 James's 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 Köthe-Bochner Function Spaces. - 3. 1 Köthe 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-Nikodým 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 Díaz-Kalton Theorem. - 5. 3 Talagrand's 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 Dieudonné 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. Language: English