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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2017
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my.iium.irep.62786 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 |
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QA Mathematics QA300 Analysis |
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QA Mathematics QA300 Analysis GANIEV, Inomjon G. Mukhamedov, Farrukh M. Conditional expectations and martingales in noncommutative Lp-spaces associated with center-valued traces |
| 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. |
| format |
Article |
| author |
GANIEV, Inomjon G. Mukhamedov, Farrukh M. |
| author_facet |
GANIEV, Inomjon G. Mukhamedov, Farrukh M. |
| author_sort |
GANIEV, Inomjon G. |
| title |
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_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_sort |
conditional expectations and martingales in noncommutative lp-spaces associated with center-valued traces |
| publisher |
Elsevier BV |
| publishDate |
2017 |
| url |
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 http://irep.iium.edu.my/62786/ https://www.sciencedirect.com/science/article/pii/S0252960217300553?via%3Dihub#! |
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