Conditional expectations and martingales in noncommutative Lp-spaces associated with center-valued traces
In this paper we prove the existence of conditional expectations in the noncommutative Lp(M,Φ)-spaces associated with center-valued traces. Moreover, their description is also provided. As an application of the obtained results, we establish the norm convergence of weighted averages of martingales i...
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| Format: | Article |
| Language: | English English |
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Elsevier BV
2017
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| Online Access: | http://irep.iium.edu.my/62786/ http://irep.iium.edu.my/62786/1/62786_Conditional%20expectations%20and%20martingales%20_article.pdf http://irep.iium.edu.my/62786/2/62786_Conditional%20expectations%20and%20martingales%20_new_scopus.pdf |
| _version_ | 1848785906449776640 |
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| author | GANIEV, Inomjon G. Mukhamedov, Farrukh M. |
| author_facet | GANIEV, Inomjon G. Mukhamedov, Farrukh M. |
| author_sort | GANIEV, Inomjon G. |
| building | IIUM Repository |
| collection | Online Access |
| description | In this paper we prove the existence of conditional expectations in the noncommutative Lp(M,Φ)-spaces associated with center-valued traces. Moreover, their description is also provided. As an application of the obtained results, we establish the norm convergence of weighted averages of martingales in noncommutative Lp(M,Φ)-spaces. |
| first_indexed | 2025-11-14T17:00:35Z |
| format | Article |
| id | iium-62786 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T17:00:35Z |
| publishDate | 2017 |
| publisher | Elsevier BV |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-627862018-06-21T00:08:44Z http://irep.iium.edu.my/62786/ Conditional expectations and martingales in noncommutative Lp-spaces associated with center-valued traces GANIEV, Inomjon G. Mukhamedov, Farrukh M. QA Mathematics QA300 Analysis In this paper we prove the existence of conditional expectations in the noncommutative Lp(M,Φ)-spaces associated with center-valued traces. Moreover, their description is also provided. As an application of the obtained results, we establish the norm convergence of weighted averages of martingales in noncommutative Lp(M,Φ)-spaces. Elsevier BV 2017-07 Article PeerReviewed application/pdf en http://irep.iium.edu.my/62786/1/62786_Conditional%20expectations%20and%20martingales%20_article.pdf application/pdf en http://irep.iium.edu.my/62786/2/62786_Conditional%20expectations%20and%20martingales%20_new_scopus.pdf GANIEV, Inomjon G. and Mukhamedov, Farrukh M. (2017) Conditional expectations and martingales in noncommutative Lp-spaces associated with center-valued traces. Acta Mathematica Scientia, 37 (4). pp. 1019-1032. ISSN 0252-9602 https://www.sciencedirect.com/science/article/pii/S0252960217300553?via%3Dihub#! 10.1016/S0252-9602(17)30055-3 |
| spellingShingle | QA Mathematics QA300 Analysis GANIEV, Inomjon G. Mukhamedov, Farrukh M. Conditional expectations and martingales in noncommutative Lp-spaces associated with center-valued traces |
| title | Conditional expectations and martingales in noncommutative Lp-spaces associated with center-valued traces |
| title_full | Conditional expectations and martingales in noncommutative Lp-spaces associated with center-valued traces |
| title_fullStr | Conditional expectations and martingales in noncommutative Lp-spaces associated with center-valued traces |
| title_full_unstemmed | Conditional expectations and martingales in noncommutative Lp-spaces associated with center-valued traces |
| title_short | Conditional expectations and martingales in noncommutative Lp-spaces associated with center-valued traces |
| title_sort | conditional expectations and martingales in noncommutative lp-spaces associated with center-valued traces |
| topic | QA Mathematics QA300 Analysis |
| url | http://irep.iium.edu.my/62786/ http://irep.iium.edu.my/62786/ http://irep.iium.edu.my/62786/ http://irep.iium.edu.my/62786/1/62786_Conditional%20expectations%20and%20martingales%20_article.pdf http://irep.iium.edu.my/62786/2/62786_Conditional%20expectations%20and%20martingales%20_new_scopus.pdf |