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

Mukhamedov, Farrukh (2010) On strictly weak mixing C*-dynamical systems and a weighted ergodic theorem. Studia Scientiarum Mathematicarum Hungarica, 47 (2). pp. 155-174. ISSN 1588-2896 (O), 0081-6906 (P)

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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.

Item Type: Article (Journal)
Additional Information: 5537/1595
Uncontrolled Keywords: unique ergodicity, strict weak mixing, C*-dynamical system, S-Besicovitch sequence
Subjects: Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button): Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User: Dr. Farrukh Mukhamedov
Date Deposited: 06 Sep 2011 14:44
Last Modified: 11 Nov 2011 14:39
URI: http://irep.iium.edu.my/id/eprint/1595

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