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Displaying similar documents to “Convergence theorems for set-valued conditional expectations”

On multivalued martingales, multimeasures and multivalued Radon-Nikodym property

Mohamed Zohry (2004)

Bollettino dell'Unione Matematica Italiana

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In this paper we prove a representation result for essentially bounded multivalued martingales with nonempty closed convex and bounded values in a real separable Banach space. Then we turn our attention to the interplay between multimeasures and multivalued Riesz representations. Finally, we give the multivalued Radon-Nikodym property.

Convergence of conditional expectations for unbounded closed convex random sets

Charles Castaing, Fatima Ezzaki, Christian Hess (1997)

Studia Mathematica

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We discuss here several types of convergence of conditional expectations for unbounded closed convex random sets of the form E ℬ n X n where ( ℬ n ) is a decreasing sequence of sub-σ-algebras and ( X n ) is a sequence of closed convex random sets in a separable Banach space.