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/ http://irep.iium.edu.my/1595/1/mf-StudiaSMH%282010%29.pdf |
| _version_ | 1848775879481622528 |
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| author | Mukhamedov, Farrukh |
| author_facet | Mukhamedov, Farrukh |
| author_sort | Mukhamedov, Farrukh |
| building | IIUM Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T14:21:13Z |
| format | Article |
| id | iium-1595 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:21:13Z |
| publishDate | 2010 |
| publisher | Akademiai Kiado |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-15952011-11-11T06:39:22Z http://irep.iium.edu.my/1595/ On strictly weak mixing C*-dynamical systems and a weighted ergodic theorem Mukhamedov, Farrukh QA Mathematics 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. Akademiai Kiado 2010-06 Article PeerReviewed application/pdf en http://irep.iium.edu.my/1595/1/mf-StudiaSMH%282010%29.pdf 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) http://www.akademiai.com/content/40350175558172k2/ doi:10.1556/SScMath.2009.1122 |
| spellingShingle | QA Mathematics Mukhamedov, Farrukh On strictly weak mixing C*-dynamical systems and a weighted ergodic theorem |
| title | On strictly weak mixing C*-dynamical systems and a weighted ergodic theorem |
| title_full | On strictly weak mixing C*-dynamical systems and a weighted ergodic theorem |
| title_fullStr | On strictly weak mixing C*-dynamical systems and a weighted ergodic theorem |
| title_full_unstemmed | On strictly weak mixing C*-dynamical systems and a weighted ergodic theorem |
| title_short | On strictly weak mixing C*-dynamical systems and a weighted ergodic theorem |
| title_sort | on strictly weak mixing c*-dynamical systems and a weighted ergodic theorem |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/1595/ http://irep.iium.edu.my/1595/ http://irep.iium.edu.my/1595/ http://irep.iium.edu.my/1595/1/mf-StudiaSMH%282010%29.pdf |