Mathematics – Operator Algebras
Scientific paper
2005-10-17
Mathematics
Operator Algebras
12 pages
Scientific paper
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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