Banach Journal of Mathematical Analysis

Disjoint hypercyclic weighted pseudoshift operators generated by different shifts

Ya Wang, Cui Chen, and Ze-Hua Zhou

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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 Lp spaces of a directed tree and the operator weighted shifts on 2(Z,K) are investigated as special cases.

Article information

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

Dates
Received: 6 April 2018
Accepted: 12 November 2018
First available in Project Euclid: 9 October 2019

Permanent link to this document
https://projecteuclid.org/euclid.bjma/1570608164

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

Mathematical Reviews number (MathSciNet)
MR4016899

Zentralblatt MATH identifier
07118764

Subjects
Primary: 47A16: Cyclic vectors, hypercyclic and chaotic operators
Secondary: 47B38: Operators on function spaces (general) 46E15: Banach spaces of continuous, differentiable or analytic functions

Keywords
disjoint hypercyclic disjoint supercyclic weighted pseudoshifts operator weighted shifts Banach space

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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