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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 | Source: | 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. | Document URI: | http://hdl.handle.net/1942/17938 | ISBN: | 978-3-540-11580-9 | DOI: | 10.1007/BFb0096691 | Category: | B2 | Type: | Book Section |
| Appears in Collections: | Research publications |
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