On limit theorems in JW-Algebras

On limit theorems in JW-Algebras

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.

Bibliographic Details
Main Authors: Karimov , Abdusalom, Mukhamedov, Farrukh
Format: Article
Language:English
Published: Kazimierz Urbanik Center for Probability and Mathematical Statistics 2010
Subjects:
QA Mathematics
Online Access:http://irep.iium.edu.my/1599/
http://irep.iium.edu.my/1599/
http://irep.iium.edu.my/1599/1/mfka-pms%282010%29.pdf
id iium-1599
recordtype eprints
spelling iium-15992011-11-08T07:23:23Z http://irep.iium.edu.my/1599/ On limit theorems in JW-Algebras Karimov , Abdusalom Mukhamedov, Farrukh QA Mathematics 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. Kazimierz Urbanik Center for Probability and Mathematical Statistics 2010 Article PeerReviewed application/pdf en http://irep.iium.edu.my/1599/1/mfka-pms%282010%29.pdf Karimov , Abdusalom and Mukhamedov, Farrukh (2010) On limit theorems in JW-Algebras. Probability and Mathematical Statistics, 30 (1). pp. 153-165. ISSN 0208-4147 http://www.math.uni.wroc.pl/~pms/files/30.1/Article/30.1.9.pdf
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
topic QA Mathematics
spellingShingle QA Mathematics
Karimov , Abdusalom
Mukhamedov, Farrukh
On limit theorems in JW-Algebras
description 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.
format Article
author Karimov , Abdusalom
Mukhamedov, Farrukh
author_facet Karimov , Abdusalom
Mukhamedov, Farrukh
author_sort Karimov , Abdusalom
title On limit theorems in JW-Algebras
title_short On limit theorems in JW-Algebras
title_full On limit theorems in JW-Algebras
title_fullStr On limit theorems in JW-Algebras
title_full_unstemmed On limit theorems in JW-Algebras
title_sort on limit theorems in jw-algebras
publisher Kazimierz Urbanik Center for Probability and Mathematical Statistics
publishDate 2010
url http://irep.iium.edu.my/1599/
http://irep.iium.edu.my/1599/
http://irep.iium.edu.my/1599/1/mfka-pms%282010%29.pdf
first_indexed 2023-09-18T20:08:59Z
last_indexed 2023-09-18T20:08:59Z
_version_ 1777407349963620352

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