Geodesic
Convergence theorems for set-valued conditional expectations
Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) no. 1, pp. 97-104

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In this paper we prove two convergence theorems for set-valued conditional expectations. The first is a set-valued generalization of Levy's martingale convergence theorem, while the second involves a nonmonotone sequence of sub $\sigma $-fields.
Classification : 28B20, 60D05, 60F99, 60G48, 60G99
Keywords: measurable multifunction; set-valued conditional expectation; Levy's theorem; support function; Kuratowski-Mosco convergence of sets 
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     title = {Convergence theorems for set-valued conditional expectations},
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     pages = {97--104},
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     zbl = {0788.60021},
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Papageorgiou, Nikolaos S. Convergence theorems for set-valued conditional expectations. Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) no. 1, pp. 97-104. http://geodesic.mathdoc.fr/item/CMUC_1993__34_1_a10/