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Some topological and geometrical structures in Banach spaces /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
1987.
|
| Colección: | Memoirs of the American Mathematical Society ;
Volume 70, no. 378. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Contents
- 0. Introduction
- I. First class functions around a subset of a Polish space
- A. Characterizations of first class functions around sets
- B. Spaces of continuous functions and convergence around sets
- C. Compact families of first class functions around a subset of a Polish space
- II. Affine and first class functions around a subset of a convex compact
- III. Dentability and related notions in Banach spaces
- A. Some geometrical properties of subsets of Banach spaces
- B. Extension of the above properties to operators
- IV. Operators from L[sup(1)][0,1] into Banach spacesA. The structure of the positive face of the unit ball of L[sup(1)]
- B. Equimeasurable sets and Radon-Nikodym operators
- C. Sets of small oscillation and strongly regular operators
- D. Sets of regular oscillation and regular operators
- V. A characterization of strongly regular Banach spaces
- VI. On w*-regular sets in dual Banach spaces
- A. On the topological structure of w*-regular sets
- B. w*-regularity and the w*-Radon-Nikodym property
- C. Regular w*-compact convex sets