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Disjoint Hypercyclicity and Weighted Translations on Discrete Groups

Published online by Cambridge University Press:  20 November 2018

Chung-Chuan Chen
Chung-Chuan Chen*
Affiliation:
Department of Mathematics Education, National Taichung University of Education, Taiwan e-mail: chungchuan@mail.ntcu.edu.tw
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Abstract

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Let $1\le p<\infty $, and let $G$ be a discrete group. We give a sufficient and necessary condition for weighted translation operators on the Lebesgue space ${{\ell }^{p}}(G)$ to be densely disjoint hypercyclic. The characterization for the dual of a weighted translation to be densely disjoint hypercyclic is also obtained.

Keywords

47A1647B3843A15disjoint hypercyclicitytopological transitivityweighted translationℓp-space
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 60 , Issue 4 , 01 December 2017 , pp. 712 - 720
Copyright
Copyright © Canadian Mathematical Society 2017

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