On strictly weak mixing C *-dynamical systems and a weighted ergodic theorem-Reference-Cited by-同舟云学术

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

Published:2010-06-01 Issue:2 Volume:47 Page:155-174
ISSN:0081-6906
Container-title:Studia Scientiarum Mathematicarum Hungarica
language:
Short-container-title:

Author:

Mukhamedov Farrukh¹

Affiliation:

1. 1 International Islamic University Malaysia Department of Computational & Theoretical Sciences, Faculty of Science P.O. Box 141 25710 Kuantan, Pahang Malaysia

Abstract

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 of strictly weak mixing dynamical systems.

Publisher

Akademiai Kiado Zrt.

Subject

General Mathematics

Link

https://www.akademiai.com/doi/pdf/10.1556/sscmath.2009.1122

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