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On the theory of vector measures /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence :
American Mathematical Society,
1977.
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 195. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 0. Background 1. Notation, definitions, and introduction 2. Boundedness in $S^\tau (\mathcal {R})$ 3. $\beta (S^\tau (\mathcal {R})^*, S(\mathcal {R}))$ is the topology of the variation norm 4. Uniform strong boundedness and $\tau $-equicontinuity 5. Buck's $(\ell ^\infty, \beta)$ as an example of $\widehat {S^\tau (\mathcal {R})}$ 6. An extension theorem 7. Every $\sigma $-ideal determines a decomposition of $\operatorname {sca}(\mathcal {R}, W)$ 8. $\widehat {S^\tau (\mathcal {R})}$ as a projective limit 9. $\widehat {S^\tau (\mathcal {R}/\mu)}$ and the Radon-Nikodym theorem 10. Semi-reflexivity of $\widehat {S^\tau (\mathcal {R})}$ and the range of a vector measure 11. $\sigma (S^\tau (\mathcal {R})^*, \widehat {S^\tau (\mathcal {R})})$-compactness, the Bartle-Dunford-Schwartz theorem, and Orlicz-Pettis-type theorems 12. Applications to measure theory for (abstract) Boolean algebras.