Disjoint and simultaneously hypercyclic pseudo-shifts

Nurhan Çolakoğlu, Özgür Martin*, Rebecca Sanders

*Bu çalışma için yazışmadan sorumlu yazar

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Özet

We characterize disjoint and simultaneously hypercyclic tuples of unilateral pseudo-shift operators on ℓp(N). As a consequence, complementing the results of Bernal and Jung, we give a characterization for simultaneously hypercyclic tuples of unilateral weighted shifts. We also give characterizations for unilateral pseudo-shifts that satisfy the Disjoint and Simultaneous Hypercyclicity Criterions. Contrary to the disjoint hypercyclicity case, tuples of weighted shifts turn out to be simultaneously hypercyclic if and only if they satisfy the Simultaneous Hypercyclicity Criterion.

Orijinal dilİngilizce
Makale numarası126130
DergiJournal of Mathematical Analysis and Applications
Hacim512
Basın numarası2
DOI'lar
Yayın durumuYayınlandı - 15 Ağu 2022

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Publisher Copyright:
© 2022 Elsevier Inc.

Finansman

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. BAP-2018-15 ].

FinansörlerFinansör numarası
Istanbul Technical University Scientific Research ProjectTAB-2017-40552
Mimar Sinan Fine Arts UniversityBAP-2018-15

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