On Limit theorems in $JW$- algebras

Abdusalom Karimov; Farrukh Mukhamedov

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arXiv · 0904.4070

On Limit theorems in $JW$- algebras

Abdusalom Karimov·Farrukh Mukhamedov

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Abstract

In the present paper, we study bundle convergence in $JW$- algebra and prove certain ergodic theorems with respect to such convergence. Moreover, conditional expectations of reversible $JW$-algebras are considered. Using such expectations, the convergence of supermartingales in such is established.

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Abdusalom Karimov, Farrukh Mukhamedov. 2009-10-06. On Limit theorems in $JW$- algebras. https://arxiv.org/abs/0904.4070

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