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On strictly weakly mixing C*-dynamical systems

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Abstract

We consider strictly ergodic and strictly weakly mixing C*-dynamical cystems. We establish that a system is strictly weakly mixing if and only if its tensor product is strictly ergodic and strictly weakly mixing. We also investigate some weighted uniform ergodic theorem with respect to S-Besicovitch sequences for strictly weakly mixing dynamical systems.

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Authors and Affiliations

  1. National University of Uzbekistan, Tashkent

    F. Mukhamedov

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  1. F. Mukhamedov
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Correspondence to F. Mukhamedov.

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__________

Translated from Funktsional’nyi Analiz i Ego Prilozheniya, Vol. 41, No. 4, pp. 79–82, 2007

Original Russian Text Copyright © by F. Mukhamedov

Supported by FCT grant SFRH/BPD/17419/2004 (Portugal).

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Mukhamedov, F. On strictly weakly mixing C*-dynamical systems. Funct Anal Its Appl 41, 311–313 (2007). https://doi.org/10.1007/s10688-007-0030-y

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  • DOI: https://doi.org/10.1007/s10688-007-0030-y

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