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.

Keywords

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

Fingerprint

Dive into the research topics of 'Disjoint and simultaneously hypercyclic pseudo-shifts'. Together they form a unique fingerprint.

Cite this