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On regularity of Banach-valued processes. (English) Zbl 0575.60004

The author obtains regularity properties for Banach lattice valued submartingales that generalize those of real valued submartingales or RNP-Banach martingales. He mainly uses stopping time method to replace the upcrossing-downcrossing trick which is not available in the vector valued case.
Reviewer: J.Lapreste

MSC:

60B12 Limit theorems for vector-valued random variables (infinite-dimensional case)
46B42 Banach lattices
46B20 Geometry and structure of normed linear spaces
60G48 Generalizations of martingales
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