On the theory of vector measures / [electronic resource] William H. Graves.
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TextSeries: Memoirs of the American Mathematical Society ; no. 195.Publication details: Providence : American Mathematical Society, 1977Description: 1 online resource (iv, 72 p.)ISBN: 9781470401566 (online)Subject(s): Measure theory | Duality theory (Mathematics) | Vector-valued measuresAdditional physical formats: On the theory of vector measures /DDC classification: 510/.8 s | 515/.42 LOC classification: QA3 | .A57 no. 195 | QA312Online resources: Contents | Contents 
E-BOOKS
| Current library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
|---|---|---|---|---|---|---|---|
| IMSc Library | IMSc Library | Link to resource | Available | EBK12648 |
"Volume 12, issue 2."
Bibliography: p. 71-72.
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
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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012
Mode of access : World Wide Web
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