## Banach Journal of Mathematical Analysis

### Disjoint hypercyclic weighted pseudoshift operators generated by different shifts

#### Abstract

Let $I$ be a countably infinite index set, and let $X$ be a Banach sequence space over $I$. In this article, we characterize the disjoint hypercyclic and supercyclic weighted pseudoshift operators on $X$ in terms of the weights, the OP-basis, and the shift mappings on $I$. Also, the shifts on weighted $L^{p}$ spaces of a directed tree and the operator weighted shifts on $\ell ^{2}(\mathbb{Z},\mathcal{K})$ are investigated as special cases.

#### Article information

Source
Banach J. Math. Anal., Volume 13, Number 4 (2019), 815-836.

Dates
Accepted: 12 November 2018
First available in Project Euclid: 9 October 2019

https://projecteuclid.org/euclid.bjma/1570608164

Digital Object Identifier
doi:10.1215/17358787-2018-0039

Mathematical Reviews number (MathSciNet)
MR4016899

Zentralblatt MATH identifier
07118764

#### Citation

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

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