Frangos, Nikos E. On regularity of Banach-valued processes. (English) Zbl 0575.60004 Ann. Probab. 13, 985-990 (1985). 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 Cited in 2 Documents 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 Keywords:regularity properties for Banach lattice valued submartingales; stopping time PDF BibTeX XML Cite \textit{N. E. Frangos}, Ann. Probab. 13, 985--990 (1985; Zbl 0575.60004) Full Text: DOI OpenURL