On the laws of large numbers for martingale differences in von Neumann algebras (Q1373041)
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scientific article; zbMATH DE number 1083693
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the laws of large numbers for martingale differences in von Neumann algebras |
scientific article; zbMATH DE number 1083693 |
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On the laws of large numbers for martingale differences in von Neumann algebras (English)
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27 August 1998
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The authors generalize here strong laws of large numbers to von Neumann algebras. Similar studies were earlier done by \textit{C. J. K. Batty} [Z. Wahrscheinlichkeitstheorie Verw. Geb. 48, 177-191 (1979; Zbl 0388.60034)], \textit{R. Jajte} [``Strong limit theorems in non-commutative probability'' (1985; Zbl 0554.46033)] and \textit{A. Łuczak} [Stud. Math. 81, 231-243 (1985; Zbl 0549.46035)]. They study the bilateral almost uniform convergence and convergence in measure of weighted averages and quadratic forms in martingale differences in von Neumann algebras.
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strong laws of large numbers
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von Neumann algebras
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uniform convergence
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convergence in measure
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martingale differences in von Neumann algebras
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0.8443188071250916
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0.8292254209518433
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