Set valued measures and integral representation
Xue, Xiao Ping ; Lixin, Cheng ; Li, Goucheng ; Yao, Xiao Bo
Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996), p. 269-284 / Harvested from Czech Digital Mathematics Library
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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.

Publié le : 1996-01-01
Classification:  28A45,  28B20,  46G10 
@article{118832,
     author = {Xiao Ping Xue and Cheng Lixin and Goucheng Li and Xiao Bo Yao},
     title = {Set valued measures and integral representation},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {37},
     year = {1996},
     pages = {269-284},
     zbl = {0885.28008},
     mrnumber = {1399002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118832}
}

Xue, Xiao Ping; Lixin, Cheng; Li, Goucheng; Yao, Xiao Bo. Set valued measures and integral representation. Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) pp. 269-284. http://gdmltest.u-ga.fr/item/118832/

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