On the weak law of large numbers for adapted sequences in von Neumann algebra (Q1775428)
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scientific article; zbMATH DE number 2164426
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the weak law of large numbers for adapted sequences in von Neumann algebra |
scientific article; zbMATH DE number 2164426 |
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On the weak law of large numbers for adapted sequences in von Neumann algebra (English)
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3 May 2005
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The weak law of large numbers in the book of \textit{P.\,Hall} and \textit{C.\,C.\,Heyde} [``Martingale limit theory and its application'' (Probability and Mathematical Statistics, Academic Press, New York et al.) (1980; Zbl 0462.60045)] for martingale differences and quadratic forms is given for adapted sequences of measurable operators in von Neumann algebras. This is a continuation of [the author and \textit{Nguyen Duy Tien}, Acta Math.\ Vietnam.\ 17, No.\,2, 13--22 (1992; Zbl 0894.60029)].
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weak law of large numbers
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adapted sequences
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martingale differences
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quadratic forms
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von Neumann algebras
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