On limit theorems in JW-Algebras

Karimov , Abdusalom and Mukhamedov, Farrukh (2010) On limit theorems in JW-Algebras. Probability and Mathematical Statistics, 30 (1). pp. 153-165. ISSN 0208-4147

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Abstract

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 is established.

Item Type:	Article (Journal)
Additional Information:	5537/1599
Uncontrolled Keywords:	Bundle convergence, Jordan algebra, ergodic theorems, conditional expectation, enveloping algebra.
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User:	Dr. Farrukh Mukhamedov
Date Deposited:	06 Sep 2011 15:28
Last Modified:	08 Nov 2011 15:23
URI:	http://irep.iium.edu.my/id/eprint/1599

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