Graves, William Howard, 1940-
On the theory of vector measures / [electronic resource] William H. Graves. - Providence : American Mathematical Society, 1977. - 1 online resource (iv, 72 p.) - Memoirs of the American Mathematical Society, v. 195 0065-9266 (print); 1947-6221 (online); . - Memoirs of the American Mathematical Society ; no. 195. .
"Volume 12, issue 2."
Bibliography: p. 71-72.
0. Background 1. Notation, definitions, and introduction 2. Boundedness in $S^\tau (\mathcal )$ 3. $\beta (S^\tau (\mathcal )^*,S(\mathcal ))$ is the topology of the variation norm 4. Uniform strong boundedness and $\tau $-equicontinuity 5. Buck's $(\ell ^\infty , \beta )$ as an example of $\widehat )}$ 6. An extension theorem 7. Every $\sigma $-ideal determines a decomposition of $\operatorname (\mathcal ,W)$ 8. $\widehat )}$ as a projective limit 9. $\widehat /\mu )}$ and the Radon-Nikodym theorem 10. Semi-reflexivity of $\widehat )}$ and the range of a vector measure 11. $\sigma (S^\tau (\mathcal )^*, \widehat )})$-compactness, the Bartle-Dunford-Schwartz theorem, and Orlicz-Pettis-type theorems 12. Applications to measure theory for (abstract) Boolean algebras
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9781470401566 (online)
Measure theory.
Duality theory (Mathematics)
Vector-valued measures.
QA3 QA312 / .A57 no. 195
510/.8 s 515/.42
On the theory of vector measures / [electronic resource] William H. Graves. - Providence : American Mathematical Society, 1977. - 1 online resource (iv, 72 p.) - Memoirs of the American Mathematical Society, v. 195 0065-9266 (print); 1947-6221 (online); . - Memoirs of the American Mathematical Society ; no. 195. .
"Volume 12, issue 2."
Bibliography: p. 71-72.
0. Background 1. Notation, definitions, and introduction 2. Boundedness in $S^\tau (\mathcal )$ 3. $\beta (S^\tau (\mathcal )^*,S(\mathcal ))$ is the topology of the variation norm 4. Uniform strong boundedness and $\tau $-equicontinuity 5. Buck's $(\ell ^\infty , \beta )$ as an example of $\widehat )}$ 6. An extension theorem 7. Every $\sigma $-ideal determines a decomposition of $\operatorname (\mathcal ,W)$ 8. $\widehat )}$ as a projective limit 9. $\widehat /\mu )}$ and the Radon-Nikodym theorem 10. Semi-reflexivity of $\widehat )}$ and the range of a vector measure 11. $\sigma (S^\tau (\mathcal )^*, \widehat )})$-compactness, the Bartle-Dunford-Schwartz theorem, and Orlicz-Pettis-type theorems 12. Applications to measure theory for (abstract) Boolean algebras
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9781470401566 (online)
Measure theory.
Duality theory (Mathematics)
Vector-valued measures.
QA3 QA312 / .A57 no. 195
510/.8 s 515/.42