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:	GANIEV, Inomjon G., Mukhamedov, Farrukh M.
Format:	Article
Language:	English English
Published:	Elsevier BV 2017
Subjects:	QA Mathematics QA300 Analysis
Online Access:	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

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recordtype	eprints
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
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English English
topic	QA Mathematics QA300 Analysis
spellingShingle	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/ 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
first_indexed	2023-09-18T21:28:57Z
last_indexed	2023-09-18T21:28:57Z
_version_	1777412381378347008

Conditional expectations and martingales in noncommutative Lp-spaces associated with center-valued traces

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