On tensor products of weak mixing vector sequences and their applications to uniquely E-weak mixing C*-dynamical systems
We prove that, under certain conditions, uniform weak mixing (to zero) of the bounded sequences in Banach space implies uniform weak mixing of its tensor product. Moreover, we prove that ergodicity of tensor product of the sequences in Banach space implies its weak mixing. Applications of the obtain...
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| Format: | Article |
| Language: | English |
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Cambridge University Press
2012
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| Online Access: | http://irep.iium.edu.my/15976/ http://irep.iium.edu.my/15976/1/mf-BulAusMathSoc%282012%29.pdf |
| _version_ | 1848777864186429440 |
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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, under certain conditions, uniform weak mixing (to zero) of the bounded sequences in Banach space implies uniform weak mixing of its tensor product. Moreover, we prove that ergodicity of tensor product of the sequences in Banach space implies its weak mixing. Applications of the obtained results, we prove that tensor
product of uniquely $E$-weak mixing C*-dynamical systems is also uniquely E-weak mixing as well. |
| first_indexed | 2025-11-14T14:52:45Z |
| format | Article |
| id | iium-15976 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:52:45Z |
| publishDate | 2012 |
| publisher | Cambridge University Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-159762012-07-02T02:49:40Z http://irep.iium.edu.my/15976/ On tensor products of weak mixing vector sequences and their applications to uniquely E-weak mixing C*-dynamical systems Mukhamedov, Farrukh QA Mathematics We prove that, under certain conditions, uniform weak mixing (to zero) of the bounded sequences in Banach space implies uniform weak mixing of its tensor product. Moreover, we prove that ergodicity of tensor product of the sequences in Banach space implies its weak mixing. Applications of the obtained results, we prove that tensor product of uniquely $E$-weak mixing C*-dynamical systems is also uniquely E-weak mixing as well. Cambridge University Press 2012 Article PeerReviewed application/pdf en http://irep.iium.edu.my/15976/1/mf-BulAusMathSoc%282012%29.pdf Mukhamedov, Farrukh (2012) On tensor products of weak mixing vector sequences and their applications to uniquely E-weak mixing C*-dynamical systems. Bulletin of the Australian Mathematical Society , 85 (1). pp. 46-59. ISSN 0004-9727 http://dx.doi.org/10.1017/S0004972711002772 10.1017/S0004972711002772 |
| spellingShingle | QA Mathematics Mukhamedov, Farrukh On tensor products of weak mixing vector sequences and their applications to uniquely E-weak mixing C*-dynamical systems |
| title | On tensor products of weak mixing vector sequences and their applications to uniquely E-weak mixing C*-dynamical systems |
| title_full | On tensor products of weak mixing vector sequences and their applications to uniquely E-weak mixing C*-dynamical systems |
| title_fullStr | On tensor products of weak mixing vector sequences and their applications to uniquely E-weak mixing C*-dynamical systems |
| title_full_unstemmed | On tensor products of weak mixing vector sequences and their applications to uniquely E-weak mixing C*-dynamical systems |
| title_short | On tensor products of weak mixing vector sequences and their applications to uniquely E-weak mixing C*-dynamical systems |
| title_sort | on tensor products of weak mixing vector sequences and their applications to uniquely e-weak mixing c*-dynamical systems |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/15976/ http://irep.iium.edu.my/15976/ http://irep.iium.edu.my/15976/ http://irep.iium.edu.my/15976/1/mf-BulAusMathSoc%282012%29.pdf |