On strictly weak mixing C*-dynamical systems and a weighted ergodic theorem

We prove that unique ergodicity of tensor product of a 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...

Full description

Bibliographic Details
Main Author: Mukhamedov, Farrukh
Format: Article
Language:English
Published: Akademiai Kiado 2010
Subjects:
Online Access:http://irep.iium.edu.my/1595/
http://irep.iium.edu.my/1595/
http://irep.iium.edu.my/1595/
http://irep.iium.edu.my/1595/1/mf-StudiaSMH%282010%29.pdf