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

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

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Abstract

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.

Item Type:	Article (Journal)
Additional Information:	5537/15976
Uncontrolled Keywords:	Uniform weak mixing, weak mixing, ergodicity, uniquely E-weak mixing, C*-dynamical system
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User:	Dr. Farrukh Mukhamedov
Date Deposited:	31 May 2012 10:54
Last Modified:	02 Jul 2012 10:49
URI:	http://irep.iium.edu.my/id/eprint/15976

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