On the theory of vector measures / [electronic resource] William H. Graves.

"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

Description based on print version record.