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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/17938

Title: On sub- and superpramarts with values in a Banach lattice
Authors: EGGHE, Leo
Issue Date: 1982
Publisher: Springer Berlin Heidelberg
Citation: Kölzow, D.; Maharam-Stone, D. (Ed.). Measure Theory Oberwolfach 1981, p. 352-365
Series/Report: Lecture Notes in Mathematics
Series/Report no.: 945
Abstract: The paper is divided in three parts. In the first part we reprove and extend a result of J. Szulga and one of L. Blake concerning general sub- and supermartingales. The second part is concerned with positive superpramarts. We determine those Banach lattices in which every class (B) positive superpramart weakly converges a.s., In the last part, we deal with positive subpramarts and their strong convergence in Banach lattices with (RNP), extending a result of H. Heinich. Several open problems are stated.
URI: http://hdl.handle.net/1942/17938
DOI: 10.1007/BFb0096691
ISBN: 978-3-540-11580-9
ISSN: 0075-8434
Category: B2
Type: Book Section
Appears in Collections: Research publications

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