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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On the extension of multimeasures and integration with respect to a multimeasure


Author: Dimitrios A. Kandilakis
Journal: Proc. Amer. Math. Soc. 116 (1992), 85-92
MSC: Primary 28B05; Secondary 28B20, 46G10
MathSciNet review: 1091184
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Abstract | References | Similar Articles | Additional Information

Abstract: We present a Caratheodory-Hahn-Kluvanek-type theorem for multimeasures whose values are weakly compact and convex subsets of a Banach space. Set functions obtained by integrating a bounded measurable function with respect to a multimeasure are also studied.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1992-1091184-9
PII: S 0002-9939(1992)1091184-9
Keywords: Set valued function, measure, multimeasure, support function, selector, weak compactness, uniformly strongly additive
Article copyright: © Copyright 1992 American Mathematical Society