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This article is cited in 4 scientific papers (total in 4 papers)
Brief communications
On Strictly Weakly Mixing $C^*$-Dynamical Systems
F. M. Mukhamedov National University of Uzbekistan named after M. Ulugbek
Abstract:
We consider strictly ergodic and strictly weakly mixing $C^*$-dynamical systems. 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.
Keywords:
strict ergodicity, strictly weak mixing, $C^*$-dynamical system, $S$-Besicovitch sequence.
Received: 29.10.2005
Citation:
F. M. Mukhamedov, “On Strictly Weakly Mixing $C^*$-Dynamical Systems”, Funktsional. Anal. i Prilozhen., 41:4 (2007), 79–82; Funct. Anal. Appl., 41:4 (2007), 311–313
Linking options:
https://www.mathnet.ru/eng/faa2883https://doi.org/10.4213/faa2883 https://www.mathnet.ru/eng/faa/v41/i4/p79
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Abstract page: | 402 | Full-text PDF : | 241 | References: | 65 | First page: | 2 |
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