On Limit theorems in $JW$- algebras
Operator Algebras
2012-01-24 v2 Functional Analysis
Probability
Abstract
In the present paper, we study bundle convergence in - algebra and prove certain ergodic theorems with respect to such convergence. Moreover, conditional expectations of reversible -algebras are considered. Using such expectations, the convergence of supermartingales in such is established.
Keywords
Cite
@article{arxiv.0904.4070,
title = {On Limit theorems in $JW$- algebras},
author = {Abdusalom Karimov and Farrukh Mukhamedov},
journal= {arXiv preprint arXiv:0904.4070},
year = {2012}
}
Comments
12 pages