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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.
Kenny Koffi Siggini. "Narrow Convergence in Spaces of Set-Valued Measures." Bulletin of the Polish Academy of Sciences. Mathematics 56.1 (2008): 15-24. <http://eudml.org/doc/281331>.
@article{KennyKoffiSiggini2008, abstract = {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.}, author = {Kenny Koffi Siggini}, journal = {Bulletin of the Polish Academy of Sciences. Mathematics}, keywords = {weak set-valued measure; set-valued measure; narrow convergence}, language = {eng}, number = {1}, pages = {15-24}, title = {Narrow Convergence in Spaces of Set-Valued Measures}, url = {http://eudml.org/doc/281331}, volume = {56}, year = {2008}, }
TY - JOUR AU - Kenny Koffi Siggini TI - Narrow Convergence in Spaces of Set-Valued Measures JO - Bulletin of the Polish Academy of Sciences. Mathematics PY - 2008 VL - 56 IS - 1 SP - 15 EP - 24 AB - 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. LA - eng KW - weak set-valued measure; set-valued measure; narrow convergence UR - http://eudml.org/doc/281331 ER -