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

Fatou's lemma in infinite-dimensional spaces


Author: Nicholas C. Yannelis
Journal: Proc. Amer. Math. Soc. 102 (1988), 303-310
MSC: Primary 28A20,; Secondary 28B20,46B22,46G10,90A14
MathSciNet review: 920991
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Abstract: Employing recent results of M. Ali Khan we provide an infinite-dimensional version of the Fatou Lemma, which includes as a special case the result of Khan and Majumdar [15].


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DOI: http://dx.doi.org/10.1090/S0002-9939-1988-0920991-4
PII: S 0002-9939(1988)0920991-4
Keywords: Radon-Nikodým Property, Diestel's Theorem on weak compactness, Fatou's Lemma, approximate version of Lyapunov's Theorem, integral of a correspondence, integration preserves upper-semicontinuity, measurable selection
Article copyright: © Copyright 1988 American Mathematical Society