A FEW REMARKS IN NON-COMMUTATIVE ERGODIC THEORY
Vladimir ChilinNational University of Uzbekistan Named After Mirzo UlugbekSemyon LitvinovPenn State-HazletonAdam SkalskiUniversity of Nottingham
ABI
Abstract
Individual ergodic theorems for free group actions and Besico- vitch weighted ergodic averages are proved in the context of the bilateral al- most uniform convergence in the L 1 -space over a semifinite von Neumann algebra. Some properties of the non-commutative counterparts of the point- wise convergence and the convergence in measure are discussed.