TY  - BOOK
AU  - Graves,William Howard
TI  - On the theory of vector measures
T2  - Memoirs of the American Mathematical Society, 
SN  - 9781470401566 (online)
AV  - QA3QA312 .A57 no. 195
U1  - 510/.8 s515/.42 
PY  - 1977///
CY  - Providence
PB  - American Mathematical Society
KW  - Measure theory
KW  - Duality theory (Mathematics)
KW  - Vector-valued measures
N1  - "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; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012
UR  - http://www.ams.org/memo/0195
UR  - http://dx.doi.org/10.1090/memo/0195
ER  -