Disjoint and simultaneously hypercyclic pseudo-shifts

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Çolakoğlu N., Martin O., Sanders R.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.512, sa.2, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 512 Sayı: 2
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1016/j.jmaa.2022.126130
  • Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, MathSciNet, zbMATH
  • Anahtar Kelimeler: Hypercyclic vectors, Hypercyclic operators, Disjoint hypercyclicity, Weighted shifts, Pseudo-shifts, OPERATORS
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

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.