Disjoint and simultaneous hypercyclic Rolewicz-type operators

Nurhan Çolakoğlu, Özgür Martin*

*Bu çalışma için yazışmadan sorumlu yazar

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1 Atıf (Scopus)

Özet

We characterize disjoint hypercyclic and supercyclic tuples of unilateral Rolewicz-type operators on c0(N) and ℓp(N), 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) and ℓp(N), p ∈ [1, ∞).

Orijinal dilİngilizce
Sayfa (başlangıç-bitiş)1609-1619
Sayfa sayısı11
DergiHacettepe Journal of Mathematics and Statistics
Hacim50
Basın numarası6
DOI'lar
Yayın durumuYayınlandı - 2021

Bibliyografik not

Publisher Copyright:
© 2021, Hacettepe University. All rights reserved.

Finansman

Acknowledgment. The first author was partially supported by Istanbul Technical University Scientific Research Project [grant no. TAB-2017-40552]. The second author was partially supported by Mimar Sinan Fine Arts University Scientific Research Project [grant no. 2016-18].

FinansörlerFinansör numarası
Istanbul Technical University Scientific Research ProjectTAB-2017-40552
Mimar Sinan Fine Arts University2016-18

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