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《数学物理学报(英文版)》 2017-04
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CONDITIONAL EXPECTATIONS AND MARTINGALES IN NONCOMMUTATIVE L_p-SPACES ASSOCIATED WITH CENTER-VALUED TRACES

Inomjon GANIEV;Farrukh MUKHAMEDOV;Department of Science in Engineering, Faculty of Engineering, International Islamic University Malaysia;Department of Mathematical Sciences, College of Science, United Arab Emirates University;  
In this paper we prove the existence of conditional expectations in the noncommutative L_p(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 L_p(M, Φ)-spaces.
【Fund】: Supported by the MOHE Grant FRGS13-071-0312
【CateGory Index】: O211
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