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.