Hypercyclic weighted translations on groups

Chen, C.; Chu, C-H.

doi:10.1090/S0002-9939-2011-10718-4

Hypercyclic weighted translations on groups
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by C. Chen and C-H. Chu PDF

Proc. Amer. Math. Soc. 139 (2011), 2839-2846 Request permission

Abstract:

Let $G$ be a locally compact group and let $1\leq p < \infty$. We characterize hypercyclic weighted translation operators on the Lebesgue space $L^p(G)$ in terms of the weight, extending a recent result by the authors for discrete groups. Topologically mixing weighted translations are also characterized.

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