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

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

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Abstract

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.

Item Type:	Article (Journal)
Additional Information:	6672/62786
Uncontrolled Keywords:	Banach-Kantorovich space; conditional expectation; martingale; measurable; measurable bundle; noncommutative Lp(M,Φ)-space
Subjects:	Q Science > QA Mathematics Q Science > QA Mathematics > QA300 Analysis
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering Kulliyyah of Engineering > Department of Science
Depositing User:	Assoc.prof Inomjon Ganiev
Date Deposited:	17 Apr 2018 11:22
Last Modified:	21 Jun 2018 08:08
URI:	http://irep.iium.edu.my/id/eprint/62786

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