On multiparameter weighted ergodic theorem for noncommutative Lp-spaces

摘要

In the paper we consider T-1 , . . . , T-d absolute contractions of von Neumann algebra M with normal, semifinite, faithful trace, and prove that for every bounded Besicovitch weight (a(k))k is an element of N-d and every X is an element of Lp(M) (p > 1) the averages [GRAPHICS] converge bilaterally almost uniformly in Lp (M). (c) 2008 Elsevier Inc. All rights reserved.