Displaying similar documents to “Uniformly summing sets of operators on spaces of continuous functions.”

Set valued measures and integral representation

Xiao Ping Xue, Cheng Lixin, Goucheng Li, Xiao Bo Yao (1996)

Commentationes Mathematicae Universitatis Carolinae

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The extension theorem of bounded, weakly compact, convex set valued and weakly countably additive measures is established through a discussion of convexity, compactness and existence of selection of the set valued measures; meanwhile, a characterization is obtained for continuous, weakly compact and convex set valued measures which can be represented by Pettis-Aumann-type integral.