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Narrow Convergence in Spaces of Set-Valued Measures

100%

Siggini K.

Bulletin of the Polish Academy of Sciences. Mathematics

2008

tom 56

nr 1

15-24

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.

Compactness and convergence of set-valued measures

100%

Siggini K.

Colloquium Mathematicum

2009

tom 114

nr 2

177-189

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.

Ograniczanie wyników

1 Bulletin of the Polish Academy of Sciences. Mathematics

1 Colloquium Mathematicum

2 Siggini K.

1 2009

1 2008

Wyniki wyszukiwania

Narrow Convergence in Spaces of Set-Valued Measures

Compactness and convergence of set-valued measures