You are not currently logged in.
Access your personal account or get JSTOR access through your library or other institution:
If You Use a Screen ReaderThis content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Weak Convergences of Probability Measures: A Uniform Principle
Jean B. Lasserre
Proceedings of the American Mathematical Society
Vol. 126, No. 10 (Oct., 1998), pp. 3089-3096
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/119115
Page Count: 8
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Preview not available
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.
Proceedings of the American Mathematical Society © 1998 American Mathematical Society