Disjoint and simultaneously hypercyclic pseudo-shifts


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Çolakoğlu N., Martin O., Sanders R.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol.512, no.2, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 512 Issue: 2
  • Publication Date: 2022
  • Doi Number: 10.1016/j.jmaa.2022.126130
  • Journal Name: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, MathSciNet, zbMATH
  • Keywords: Hypercyclic vectors, Hypercyclic operators, Disjoint hypercyclicity, Weighted shifts, Pseudo-shifts, OPERATORS
  • Istanbul Technical University Affiliated: Yes

Abstract

We characterize disjoint and simultaneously hypercyclic tuples of unilateral pseudo-shift operators on l(p)(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. (C) 2022 Elsevier Inc. All rights reserved.