Disjoint and simultaneous hypercyclic Rolewicz-type operators

Nurhan ÇOLAKOĞLU; Özgür MARTİN

doi:https://doi.org/10.15672/hujms.791344

Makale detayları

Disjoint and simultaneous hypercyclic Rolewicz-type operators

Yazarlar:

Nurhan ÇOLAKOĞLU | Özgür MARTİN

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2021 Vol.50 Issue 6, pp.1609-1619

Belge Tipi:

Makale

Yayın Tarihi:

12/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000450407

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.791344

Özet:

 

We  characterize disjoint hypercyclic and supercyclic tuples of unilateral Rolewicz-type operators on c0(\N)c0(\N)c_0(\N) and ℓp(\N)ℓp(\N)\ell^p(\N), p∈[1,∞)p∈[1,∞)p \in [1, \infty), 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)c0(\N)c_0(\N) and ℓp(\N)ℓp(\N)\ell^p(\N), p∈[1,∞)p∈[1,∞)p \in [1, \infty).

Makale detayları

Disjoint and simultaneous hypercyclic Rolewicz-type operators

Yazarlar: Nurhan ÇOLAKOĞLU | Özgür MARTİN

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2021 Vol.50 Issue 6, pp.1609-1619

Belge Tipi: Makale

Yayın Tarihi: 12/2021

Belge Dili: İngilizce

Document ID (Org No.): 2000450407

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

DOI: https://doi.org/10.15672/hujms.791344

Sayı

Yazarlar:

Nurhan ÇOLAKOĞLU | Özgür MARTİN

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2021 Vol.50 Issue 6, pp.1609-1619

Belge Tipi:

Makale

Yayın Tarihi:

12/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000450407

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.791344