Introduction to Banach Spaces: Analysis and Probability, m. 1 Buch, m. 1 Buch
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Volume 1: Preface; Preliminary chapter; 1. Fundamental notions of probability; 2. Bases in Banach spaces; 3. Unconditional convergence; 4. Banach space valued random variables; 5. Type and cotype of Banach spaces. Factorisation through a Hilbert space; 6. p-summing operators. Applications; 7. Some properties of Lp-spaces; 8. The Space l1; Annex. Banach algebras, compact abelian groups; Bibliography; Author index; Notation index; Subject index. Volume 2: Preface; 1. Euclidean sections; 2. Separable Banach spaces without the approximation property; 3. Gaussian processes; 4. Reflexive subspaces of L1; 5. The method of selectors. Examples of its use; 6. The Pisier space of almost surely continuous functions. Applications; Appendix. News in the theory of infinite-dimensional Banach spaces in the past twenty years G. Godefroy; An update on some problems in high dimensional convex geometry and related probabilistic results O. Guédon; A few updates and pointers G. Pisier; On the mesh condition for Sidon sets L. Rodriguez-Piazza; Bibliography; Author index; Notation index; Subject index.
| Autor: | Li, Daniel |
| Nakladatel: | Cambridge University Press |
| Rok vydání: | 2017 |
| Jazyk : | Angličtina |
| Vazba: | Hardback |
| Počet stran: | 890 |
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