Abstract
We characterize disjoint hypercyclic and supercyclic tuples of unilateral Rolewicz-type operators on c0(N) and ℓp(N), p ∈ [1, ∞), which are a generalization of the unilateral backward shift operator. We show that disjoint hypercyclicity and disjoint supercyclicity are equivalent among a subfamily of these operators and disjoint hypercyclic unilateral Rolewicz-type operators always satisfy the Disjoint Hypercyclicity Criterion. We also characterize simultaneous hypercyclic unilateral Rolewicz-type operators on c0(N) and ℓp(N), p ∈ [1, ∞).
Original language | English |
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Pages (from-to) | 1609-1619 |
Number of pages | 11 |
Journal | Hacettepe Journal of Mathematics and Statistics |
Volume | 50 |
Issue number | 6 |
DOIs | |
Publication status | Published - 2021 |
Bibliographical note
Publisher Copyright:© 2021, Hacettepe University. All rights reserved.
Funding
Acknowledgment. The first author was partially supported by Istanbul Technical University Scientific Research Project [grant no. TAB-2017-40552]. The second author was partially supported by Mimar Sinan Fine Arts University Scientific Research Project [grant no. 2016-18].
Funders | Funder number |
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Istanbul Technical University Scientific Research Project | TAB-2017-40552 |
Mimar Sinan Fine Arts University | 2016-18 |
Keywords
- Disjoint hypercyclicity
- Hypercyclic operators
- hypercyclic vectors
- Simultaneous hypercyclicity