On multiparameter Weighted ergodic theorem for Noncommutative L_{p}-spaces

dc.creatorMukhamedov, Farrukh
dc.creatorMukhamedov, Maksut
dc.creatorTemir, Seyit
dc.date2006-11-13
dc.date2007-10-08
dc.date.accessioned2026-07-07T08:34:31Z
dc.date.available2026-07-07T08:34:31Z
dc.descriptionIn the paper we consider $T_{1},..., T_{d}$ absolute contractions of von Neumann algebra $\M$ with normal, semi-finite, faithful trace, and prove that for every bounded Besicovitch weight $\{a(\kb)\}_{\kb\in\bn^d}$ and every $x\in L_{p}(\M)$, ($p>1$) the averages A_{\Nb}(x)=\frac{1}{|\Nb|}\sum\limits_{\kb=1}^{\Nb}a(\kb)\Tb^{\kb}(x). converge bilaterally almost uniformly in $L_{p}(\M)$.
dc.description8 pages. submitted
dc.identifierhttps://arxiv.org/abs/math/0611381
dc.identifierhttp://arxiv.org/abs/math/0611381
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139460
dc.subjectFunctional Analysis
dc.subjectOperator Algebras
dc.subject46L50; 46L55; 46L53; 47A35; 35A99
dc.titleOn multiparameter Weighted ergodic theorem for Noncommutative L_{p}-spaces
dc.typetext

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