On Limit theorems in $JW$- algebras

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Karimov, Abdusalom
Mukhamedov, Farrukh
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Abstract
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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.
Comment: 12 pages
Keywords
Mathematics - Operator Algebras, Mathematics - Functional Analysis, Mathematics - Probability, 46L50, 46L55, 46L53, 47A35, 35A99
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