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A FEW REMARKS IN NON-COMMUTATIVE ERGODIC THEORY

Vladimir ChilinNational University of Uzbekistan Named After Mirzo UlugbekSemyon LitvinovPenn State-HazletonAdam SkalskiUniversity of Nottingham
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Аннотация

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.

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