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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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Keywords: Banach lattice, abstract <I>M</I> spaces, weak convergence, weak compactness, extreme point
Article copyright: © Copyright 1995 American Mathematical Society