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

Farrukh Mukhamedov

doi:10.1556/SScMath.2009.1122

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

Farrukh Mukhamedov

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

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.

Original language	English
Pages (from-to)	155-174
Number of pages	20
Journal	Studia Scientiarum Mathematicarum Hungarica
Volume	47
Issue number	2
DOIs	https://doi.org/10.1556/SScMath.2009.1122
Publication status	Published - Jun 1 2010
Externally published	Yes

Keywords

-dynamical system
28D05
46L51
46L55
60J99
C
Primary 46L35
S -Besicovitch sequence
Strict weak mixing
Unique ergodicity

ASJC Scopus subject areas

General Mathematics

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10.1556/SScMath.2009.1122

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KW - Unique ergodicity

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

Abstract

Keywords

ASJC Scopus subject areas

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