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.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Kazimierz Urbanik Center for Probability and Mathematical Statistics
2010
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/1599/ http://irep.iium.edu.my/1599/1/mfka-pms%282010%29.pdf |
| _version_ | 1848775880518664192 |
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| author | Karimov , Abdusalom Mukhamedov, Farrukh |
| author_facet | Karimov , Abdusalom Mukhamedov, Farrukh |
| author_sort | Karimov , Abdusalom |
| building | IIUM Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-14T14:21:13Z |
| format | Article |
| id | iium-1599 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:21:13Z |
| publishDate | 2010 |
| publisher | Kazimierz Urbanik Center for Probability and Mathematical Statistics |
| recordtype | eprints |
| repository_type | Digital Repository |
| 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 |
| spellingShingle | QA Mathematics Karimov , Abdusalom Mukhamedov, Farrukh On limit theorems in JW-Algebras |
| title | 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_short | On limit theorems in JW-Algebras |
| title_sort | on limit theorems in jw-algebras |
| topic | QA Mathematics |
| 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 |