Disjoint and simultaneous hypercyclic Rolewicz-type operators

Çolakoğlu N., Martin Ö.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.50, sa.6, ss.1609-1619, 2021 (SCI-Expanded)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 50 Sayı: 6
  • Basım Tarihi: 2021
  • Doi Numarası: 10.15672/hujms.791344
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.1609-1619
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

We characterize disjoint hypercyclic and supercyclic tuples of unilateral Rolewicz-type operators on c0(\N)" role="presentation">c0(\N) and ℓp(\N)" role="presentation">ℓp(\N), p∈[1,∞)" role="presentation">p∈[1,∞), which are a generalization of the unilateral backward shift operator. We show that disjoint hypercyclicity and disjoint supercyclicity are equivalent among a subfamily of these operators and disjoint hypercyclic unilateral Rolewicz-type operators always satisfy the Disjoint Hypercyclicity Criterion. We also characterize simultaneous hypercyclic unilateral Rolewicz-type operators on c0(\N)" role="presentation">c0(\N) and ℓp(\N)" role="presentation">ℓp(\N), p∈[1,∞)" role="presentation">p∈[1,∞).