On ergodic type theorems for strictly weak mixing C^*-dynamical systems

Farrukh Mukhamedov

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On ergodic type theorems for strictly weak mixing C^*-dynamical systems

Farrukh Mukhamedov

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Abstract

We prove that unique ergodicity of tensor product of $C^*$-dynamical system implies its strictly weak mixing. By means of this result a uniform weighted ergodic theorem with respect to $S$-Besicovitch sequences for strictly weak mixing dynamical systems is proved. Moreover, we provide certain examples of strictly weak mixing dynamical systems.

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BibTeX RIS

Farrukh Mukhamedov. 2007-12-18. On ergodic type theorems for strictly weak mixing C^*-dynamical systems. https://arxiv.org/abs/math/0510314

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