Geodesic
Disjoint Hypercyclicity and Weighted Translations on Discrete Groups
Canadian mathematical bulletin, Tome 60 (2017) no. 4, pp. 712-720

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DOI

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.
DOI : 10.4153/CMB-2016-075-9
Mots-clés : 47A16, 47B38, 43A15, disjoint hypercyclicity, topological transitivity, weighted translation, lp -space 
Chen, Chung-Chuan. Disjoint Hypercyclicity and Weighted Translations on Discrete Groups. Canadian mathematical bulletin, Tome 60 (2017) no. 4, pp. 712-720. doi: 10.4153/CMB-2016-075-9
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     author = {Chen, Chung-Chuan},
     title = {Disjoint {Hypercyclicity} and {Weighted} {Translations} on {Discrete} {Groups}},
     journal = {Canadian mathematical bulletin},
     pages = {712--720},
     year = {2017},
     volume = {60},
     number = {4},
     doi = {10.4153/CMB-2016-075-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-075-9/}
}
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