Banach Journal of Mathematical Analysis
- Banach J. Math. Anal.
- Volume 11, Number 3 (2017), 459-476.
Disjoint hypercyclic weighted translations on groups
Let , and let be a locally compact group. We characterize disjoint hypercyclic weighted translation operators on the Lebesgue space 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.
Banach J. Math. Anal., Volume 11, Number 3 (2017), 459-476.
Received: 23 February 2016
Accepted: 21 July 2016
First available in Project Euclid: 19 April 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 47A16: Cyclic vectors, hypercyclic and chaotic operators
Secondary: 47B38: Operators on function spaces (general) 43A15: $L^p$-spaces and other function spaces on groups, semigroups, etc.
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