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On almost sure convergence of amarts and martingales without the Radon-Nikodym property |
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| Authors: | Valeria Marraffa |
| Institution: | (1) Department of Mathematics, The Ohio State University, 43210 Columbus, Ohio;(2) Dipa timento di Matematica ed Applicazioni, Universita'degli Studi di Palermo, 90123 Palermo, Italy |
| Abstract: | It is shown here that for any Banach spaceE-valued amart (X n) of classB, almost sure convergence off(Xn) tof(X) for eachf in a total subset ofE * implies scalar convergence toX. |
| Keywords: | Amarts martingales Radon-Nikodym property Banach space valued process almost sure convergence |
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