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/