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Weak compactness in spaces of vector valued measures

Published online by Cambridge University Press:  17 April 2009

F.G.J. Wiid
F.G.J. Wiid
Affiliation:
National Research Institute for Mathematical Sciences, C.S.I.R., P.O. Box 395, Pretoria 001, South Africa
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Abstract

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We characterise relative weak compactness in σBM(∑, X), the space of sigma-additive, X-valued measures of bounded variation, where X is a Banach space.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 38 , Issue 1 , August 1988 , pp. 55 - 56
Copyright
Copyright © Australian Mathematical Society 1988

References

[1]Brooks, J. and Dinculeanu, N., ‘Weak compactness in spaces of Bochner integrable functions and applications’, Adv. in Math. 24 (1977), 172–188.CrossRefGoogle Scholar
[2]Wild, F., Weak compactness in function spaces, (preprint).Google Scholar