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...

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Bibliographic Details
Main Author: Mukhamedov, Farrukh
Format: Article
Language:English
Published: Akademiai Kiado 2010
Subjects:
Online Access:http://irep.iium.edu.my/1595/1/mf-StudiaSMH%282010%29.pdf
http://irep.iium.edu.my/1595/
http://www.akademiai.com/content/40350175558172k2/
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Institution: Universiti Islam Antarabangsa Malaysia
Language: English