Disjoint and simultaneously hypercyclic pseudo-shifts

Nurhan Çolakoğlu, Özgür Martin*, Rebecca Sanders

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Article number126130
JournalJournal of Mathematical Analysis and Applications
Volume512
Issue number2
DOIs
Publication statusPublished - 15 Aug 2022

Bibliographical note

Publisher Copyright:
© 2022 Elsevier Inc.

Funding

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. BAP-2018-15 ].

FundersFunder number
Istanbul Technical University Scientific Research ProjectTAB-2017-40552
Mimar Sinan Fine Arts UniversityBAP-2018-15

    Keywords

    • Disjoint hypercyclicity
    • Hypercyclic operators
    • Hypercyclic vectors
    • Pseudo-shifts
    • Weighted shifts

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