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


Weak convergence and weak compactness in abstract $ M$ spaces

Authors: Shu Tao Chen and Hui Ying Sun
Journal: Proc. Amer. Math. Soc. 123 (1995), 1441-1447
MSC: Primary 46B42; Secondary 54E18
MathSciNet review: 1273482
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Abstract: This paper presents some properties of bounded linear functionals on $ \sigma $ complete abstract M spaces, from which some criteria for weak convergence and weak compactness in such spaces are obtained.

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Additional Information

PII: S 0002-9939(1995)1273482-1
Keywords: Banach lattice, abstract M spaces, weak convergence, weak compactness, extreme point
Article copyright: © Copyright 1995 American Mathematical Society

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