Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Weak convergences of probability measures: A uniform principle

Author(s): Jean B. Lasserre
Journal: Proc. Amer. Math. Soc. 126 (1998), 3089-3096.
MSC (1991): Primary 60B05, 60B10, 28A33
MathSciNet review: 1452809
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Abstract: We consider a set $\prod$ of probability measures on a locally compact separable metric space. It is shown that a necessary and sufficient condition for (relative) sequential compactness of $\prod$ in various weak topologies (among which the vague, weak and setwise topologies) has the same simple form; i.e. a uniform principle has to hold in $\prod$ . We also extend this uniform principle to some Köthe function spaces.

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