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Author Graves, William H. (William Howard), 1940-2016.

Title On the theory of vector measures / William H. Graves
Published Providence : American Mathematical Society, 1977
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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