CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCMB
Publications        
Abstract view

Disjoint Hypercyclicity and Weighted Translations on Discrete Groups

  Published:2016-12-09
 Printed: Dec 2017
  • Chung-Chuan Chen,
    Department of Mathematics Education, National Taichung University of Education, Taiwan
Format:   LaTeX   MathJax   PDF  

Abstract

Let $1\leq p\lt \infty$, 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: disjoint hypercyclicity, topological transitivity, weighted translation, $\ell^p$-space disjoint hypercyclicity, topological transitivity, weighted translation, $\ell^p$-space
MSC Classifications: 47A16, 47B38, 43A15 show english descriptions Cyclic vectors, hypercyclic and chaotic operators
Operators on function spaces (general)
$L^p$-spaces and other function spaces on groups, semigroups, etc.
47A16 - Cyclic vectors, hypercyclic and chaotic operators
47B38 - Operators on function spaces (general)
43A15 - $L^p$-spaces and other function spaces on groups, semigroups, etc.
 

© Canadian Mathematical Society, 2017 : https://cms.math.ca/