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Displaying similar documents to “Convergence of Tight Asymptotic Martingales in a Banach Space.”

Weak star convergence of martingales in a dual space

C. Castaing, F. Ezzaki, M. Lavie, M. Saadoune (2011)

Banach Center Publications

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In this paper we present various weak star Kuratowski convergence results for multivalued martingales, supermartingales and multivalued mils in the dual of a separable Banach space. We establish several integral representation formulas for convex weak star compact valued multifunctions defined on a Köthe space and derive several existence results of conditional expectation for multivalued Gelfand-integrable multifunctions. Similar convergence results for Gelfand-integrable martingales...