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Compactness and convergence of set-valued measures

Kenny Koffi Siggini — 2009

Colloquium Mathematicae

We prove criteria for relative compactness in the space of set-valued measures whose values are compact convex sets in a Banach space, and we generalize to set-valued measures the famous theorem of Dieudonné on convergence of real non-negative regular measures.

Narrow Convergence in Spaces of Set-Valued Measures

Kenny Koffi Siggini — 2008

Bulletin of the Polish Academy of Sciences. Mathematics

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.

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