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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| Format: | Article |
| Language: | English |
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Akademiai Kiado
2010
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| 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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| Summary: | 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. |
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