Martingale convergence theorems in JW-Algebras
In this paper certain properties of conditional expectations of re-versible JW-algebra A with a faithful semifinite normal trace are studied. As an application of these results, we prove convergence theorems for supermartin- gales and martingales defined on such algebras.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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School of Mathematical Sciences, Universiti Sains Malaysia
2010
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| Online Access: | http://irep.iium.edu.my/1598/ http://irep.iium.edu.my/1598/1/mfka-bmmss%282010%29.pdf |
| _version_ | 1848775880267005952 |
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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 this paper certain properties of conditional expectations of re-versible JW-algebra A with a faithful semifinite normal trace are studied. As an application of these results, we prove convergence theorems for supermartin- gales and martingales defined on such algebras. |
| first_indexed | 2025-11-14T14:21:13Z |
| format | Article |
| id | iium-1598 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:21:13Z |
| publishDate | 2010 |
| publisher | School of Mathematical Sciences, Universiti Sains Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-15982011-11-11T03:24:35Z http://irep.iium.edu.my/1598/ Martingale convergence theorems in JW-Algebras Karimov , Abdusalom Mukhamedov, Farrukh QA Mathematics In this paper certain properties of conditional expectations of re-versible JW-algebra A with a faithful semifinite normal trace are studied. As an application of these results, we prove convergence theorems for supermartin- gales and martingales defined on such algebras. School of Mathematical Sciences, Universiti Sains Malaysia 2010 Article PeerReviewed application/pdf en http://irep.iium.edu.my/1598/1/mfka-bmmss%282010%29.pdf Karimov , Abdusalom and Mukhamedov, Farrukh (2010) Martingale convergence theorems in JW-Algebras. Bulletin of the Malaysian Mathematical Sciences Society, 33 (3). pp. 405-410. ISSN 0126-6705 http://math.usm.my/bulletin/html/vol33_3_6.html |
| spellingShingle | QA Mathematics Karimov , Abdusalom Mukhamedov, Farrukh Martingale convergence theorems in JW-Algebras |
| title | Martingale convergence theorems in JW-Algebras |
| title_full | Martingale convergence theorems in JW-Algebras |
| title_fullStr | Martingale convergence theorems in JW-Algebras |
| title_full_unstemmed | Martingale convergence theorems in JW-Algebras |
| title_short | Martingale convergence theorems in JW-Algebras |
| title_sort | martingale convergence theorems in jw-algebras |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/1598/ http://irep.iium.edu.my/1598/ http://irep.iium.edu.my/1598/1/mfka-bmmss%282010%29.pdf |