Title of article
Martingale Convergence Theorems in JW-Algebras
Author/Authors
Karimov, Abdusalom Tashkent Institute of Textile and Light Industry - Department of Mathematics, Uzbekistan , Mukhamedov, Farrukh International Islamic University Malaysia - Faculty of Science - Department of Computational and Theoretical Sciences, Malaysia
From page
405
To page
410
Abstract
In this paper certain properties of conditional expectations of reversible JW-algebra A with a faithful semifinite normal trace are studied. As an application of these results, we prove convergence theorems for supermartingales and martingales defined on such algebras.
Keywords
Conditional expectation , Jordan algebra , enveloping algebra , supermartingale , martingale
Journal title
Bulletin of the Malaysian Mathematical Sciences Society
Journal title
Bulletin of the Malaysian Mathematical Sciences Society
Record number
2549867
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