Geodesic
Set valued measures and integral representation
Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 2, pp. 269-284

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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.
Classification : 28A45, 28B20, 46G10
Keywords: set valued functions; set valued measures; Pettis-Aumann integral 
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     title = {Set valued measures and integral representation},
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Xue, Xiaoping; Lixin, Cheng; Li, Goucheng; Yao, Xiaobo. Set valued measures and integral representation. Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 2, pp. 269-284. http://geodesic.mathdoc.fr/item/CMUC_1996__37_2_a6/