| Description |
1 online resource (iv, 72 pages) |
| Series |
Memoirs of the American Mathematical Society, 1947-6221 ; v. 195 |
|
Memoirs of the American Mathematical Society ; no. 195. 0065-9266
|
| Contents |
0. Background 1. Notation, definitions, and introduction 2. Boundedness in $Ŝ\tau (\mathcal {R})$ 3. $\beta (Ŝ\tau (\mathcal {R})̂*, S(\mathcal {R}))$ is the topology of the variation norm 4. Uniform strong boundedness and $\tau $-equicontinuity 5. Buck's $(\ell ̂\infty, \beta)$ as an example of $\widehat {Ŝ\tau (\mathcal {R})}$ 6. An extension theorem 7. Every $\sigma $-ideal determines a decomposition of $\operatorname {sca}(\mathcal {R}, W)$ 8. $\widehat {Ŝ\tau (\mathcal {R})}$ as a projective limit 9. $\widehat {Ŝ\tau (\mathcal {R}/\mu)}$ and the Radon-Nikodym theorem 10. Semi-reflexivity of $\widehat {Ŝ\tau (\mathcal {R})}$ and the range of a vector measure 11. $\sigma (Ŝ\tau (\mathcal {R})̂*, \widehat {Ŝ\tau (\mathcal {R})})$-compactness, the Bartle-Dunford-Schwartz theorem, and Orlicz-Pettis-type theorems 12. Applications to measure theory for (abstract) Boolean algebras |
| Notes |
"Volume 12, issue 2." |
| Bibliography |
Includes bibliographical references (pages 71-72) |
| Notes |
English |
|
Print version record |
| Subject |
Duality theory (Mathematics)
|
|
Measure theory.
|
|
Vector-valued measures.
|
|
Duality theory (Mathematics)
|
|
Measure theory.
|
|
Vector-valued measures.
|
| Form |
Electronic book
|
| ISBN |
1470401568 |
|
9781470401566 |
|
