On tensor products of weak mixing vector sequences and their applications to uniquely $E$-weak mixing $C^*$- dynamical systems
Functional Analysis
2012-01-23 v3 Dynamical Systems
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 -weak mixing -dynamical systems is also uniquely -weak mixing as well.
Keywords
Cite
@article{arxiv.1009.0583,
title = {On tensor products of weak mixing vector sequences and their applications to uniquely $E$-weak mixing $C^*$- dynamical systems},
author = {Farrukh Mukhamedov},
journal= {arXiv preprint arXiv:1009.0583},
year = {2012}
}
Comments
14 pages