arXiv math/05103142005-10math.OAmath.FA

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

Farrukh Mukhamedov

备注：: 12 pages

英文摘要：

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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