Abstract
We characterize disjoint and simultaneously hypercyclic tuples of unilateral pseudo-shift operators on ℓp(N). As a consequence, complementing the results of Bernal and Jung, we give a characterization for simultaneously hypercyclic tuples of unilateral weighted shifts. We also give characterizations for unilateral pseudo-shifts that satisfy the Disjoint and Simultaneous Hypercyclicity Criterions. Contrary to the disjoint hypercyclicity case, tuples of weighted shifts turn out to be simultaneously hypercyclic if and only if they satisfy the Simultaneous Hypercyclicity Criterion.
Original language | English |
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Article number | 126130 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 512 |
Issue number | 2 |
DOIs | |
Publication status | Published - 15 Aug 2022 |
Bibliographical note
Publisher Copyright:© 2022 Elsevier Inc.
Keywords
- Disjoint hypercyclicity
- Hypercyclic operators
- Hypercyclic vectors
- Pseudo-shifts
- Weighted shifts