On ergodic type theorems for strictly weak mixing C^*-dynamical systems
算子代数
2007-12-18 v3 泛函分析
摘要
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.
引用
@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}
}
备注
12 pages