On Limit theorems in $JW$- algebras

Details On Limit theorems in $JW$- algebras On Limit theorems in $JW$- algebras

2009-04-27

arxiv.org/abs/0904.4070v2

Probability and Mathematical Statistics Vol. 30, Fasc. 1 (2010), pp. 153--165

Mathematics

Operator Algebras

12 pages

Scientific paper

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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