On Limit theorems in JW- algebras
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math.FAmath.PR
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convergencealgebrasexpectationstheoremsalgebrabundlecertainconditional
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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.
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