Atıf İçin Kopyala
Çolakoğlu N., Martin Ö.
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.50, sa.6, ss.1609-1619, 2021 (SCI-Expanded)
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,∞).