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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2021 / Volume: 50 Issue: 6

Disjoint and simultaneous hypercyclic Rolewicz-type operators

Nurhan Çolakoğlu(Istanbul Technical University)0000-0003-2216-6952
Özgür Martin(MIMAR SINAN FINE ARTS UNIVERSITY)0000-0003-1605-1593
Sayfa
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Yayın Tarihi
2021-12-14
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We also characterize simultaneous hypercyclic unilateral Rolewicz-type operators on $c_0(\N)$ and $\ell^p(\N)$, $p \in [1, \infty)$.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:We characterize disjoint hypercyclic and supercyclic tuples of unilateral Rolewicz-type operators on $c_0(\N)$ and $\ell^p(\N)$, $p \in [1, \infty)$, which are a generalization of the unilateral backward shift operator.
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Temel Bulgular & Veri: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.
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Sonuç & Katkı:We also characterize simultaneous hypercyclic unilateral Rolewicz-type operators on $c_0(\N)$ and $\ell^p(\N)$, $p \in [1, \infty)$.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:hypercyclic vectors · hypercyclic operators · disjoint hypercyclicity

Abstract

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

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Bu Makaleye Atıf Yap

Çolakoğlu, N., Martin, Ö. (2021). Disjoint and simultaneous hypercyclic Rolewicz-type operators. Hacettepe Journal of Mathematics and Statistics, Volume: 50 Issue: 6. https://doi.org/10.15672/hujms.791344

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