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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| Main Authors: | , |
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| Format: | Article |
| Language: | English English |
| Published: |
Elsevier BV
2017
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| Subjects: | |
| Online Access: | 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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| Institution: | Universiti Islam Antarabangsa Malaysia |
| Language: | English English |
| Summary: | 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. |
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