On tensor products of weak mixing vector sequences and their applications to uniquely E-weak mixing C*-dynamical systems

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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Main Author: Mukhamedov, Farrukh
Format: Article
Language:English
Published: Cambridge University Press 2012
Subjects:
QA Mathematics
Online Access: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
id iium-15976
recordtype eprints
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
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
topic QA Mathematics
spellingShingle QA Mathematics
Mukhamedov, Farrukh
On tensor products of weak mixing vector sequences and their applications to uniquely E-weak mixing C*-dynamical systems
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.
format Article
author Mukhamedov, Farrukh
author_facet Mukhamedov, Farrukh
author_sort Mukhamedov, Farrukh
title 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_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_sort on tensor products of weak mixing vector sequences and their applications to uniquely e-weak mixing c*-dynamical systems
publisher Cambridge University Press
publishDate 2012
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
first_indexed 2023-09-18T20:24:53Z
last_indexed 2023-09-18T20:24:53Z
_version_ 1777408350579851264

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