We prove an analogue of Topsøe's criterion for relative compactness of a family of probability measures which are regular with respect to a family sets. We consider measures whose values are compact convex sets in a locally convex linear topological space.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba56-1-3,
author = {Kenny Koffi Siggini},
title = {Narrow Convergence in Spaces of Set-Valued Measures},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
volume = {56},
year = {2008},
pages = {15-24},
zbl = {1177.28034},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba56-1-3}
}
Kenny Koffi Siggini. Narrow Convergence in Spaces of Set-Valued Measures. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 56 (2008) pp. 15-24. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba56-1-3/