TY - JOUR
T1 - Conditional expectations and martingales in noncommutative Lp-spaces associated with center-valued traces
AU - GANIEV, Inomjon
AU - MUKHAMEDOV, Farrukh
N1 - Publisher Copyright:
© 2017 Wuhan Institute of Physics and Mathematics
PY - 2017/7
Y1 - 2017/7
N2 - 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.
AB - 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.
KW - Banach-Kantorovich space
KW - conditional expectation
KW - martingale
KW - measurable
KW - measurable bundle
KW - noncommutative L(M,Φ)-space
UR - http://www.scopus.com/inward/record.url?scp=85020305663&partnerID=8YFLogxK
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U2 - 10.1016/S0252-9602(17)30055-3
DO - 10.1016/S0252-9602(17)30055-3
M3 - Article
AN - SCOPUS:85020305663
SN - 0252-9602
VL - 37
SP - 1019
EP - 1032
JO - Acta Mathematica Scientia
JF - Acta Mathematica Scientia
IS - 4
ER -