## Banach Journal of Mathematical Analysis

### Disjoint hypercyclic weighted translations on groups

Chung-Chuan Chen

#### Abstract

Let $1\leq p\lt \infty$, and let $G$ be a locally compact group. We characterize disjoint hypercyclic weighted translation operators on the Lebesgue space $L^{p}(G)$ in terms of the weight, the Haar measure, and the group element. Disjoint supercyclic, disjoint mixing, and dual disjoint hypercyclic weighted translation operators are also characterized.

#### Article information

Source
Banach J. Math. Anal., Volume 11, Number 3 (2017), 459-476.

Dates
Accepted: 21 July 2016
First available in Project Euclid: 19 April 2017

https://projecteuclid.org/euclid.bjma/1492618124

Digital Object Identifier
doi:10.1215/17358787-2017-0001

Mathematical Reviews number (MathSciNet)
MR3679891

Zentralblatt MATH identifier
06754298

#### Citation

Chen, Chung-Chuan. Disjoint hypercyclic weighted translations on groups. Banach J. Math. Anal. 11 (2017), no. 3, 459--476. doi:10.1215/17358787-2017-0001. https://projecteuclid.org/euclid.bjma/1492618124

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