Banach Journal of Mathematical Analysis
- Banach J. Math. Anal.
- Volume 13, Number 4 (2019), 815-836.
Disjoint hypercyclic weighted pseudoshift operators generated by different shifts
Let be a countably infinite index set, and let be a Banach sequence space over . In this article, we characterize the disjoint hypercyclic and supercyclic weighted pseudoshift operators on in terms of the weights, the OP-basis, and the shift mappings on . Also, the shifts on weighted spaces of a directed tree and the operator weighted shifts on are investigated as special cases.
Banach J. Math. Anal., Volume 13, Number 4 (2019), 815-836.
Received: 6 April 2018
Accepted: 12 November 2018
First available in Project Euclid: 9 October 2019
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) 46E15: Banach spaces of continuous, differentiable or analytic functions
Wang, Ya; Chen, Cui; Zhou, Ze-Hua. Disjoint hypercyclic weighted pseudoshift operators generated by different shifts. Banach J. Math. Anal. 13 (2019), no. 4, 815--836. doi:10.1215/17358787-2018-0039. https://projecteuclid.org/euclid.bjma/1570608164