On ergodic type theorems for strictly weak mixing C^*-dynamical systems
Operator Algebras
2007-12-18 v3 Functional Analysis
Abstract
We prove that unique ergodicity of tensor product of -dynamical system implies its strictly weak mixing. By means of this result a uniform weighted ergodic theorem with respect to -Besicovitch sequences for strictly weak mixing dynamical systems is proved. Moreover, we provide certain examples of strictly weak mixing dynamical systems.
Keywords
Cite
@article{arxiv.math/0510314,
title = {On ergodic type theorems for strictly weak mixing C^*-dynamical systems},
author = {Farrukh Mukhamedov},
journal= {arXiv preprint arXiv:math/0510314},
year = {2007}
}
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12 pages