Disjoint and simultaneously hypercyclic pseudo-shifts

Nurhan Çolakoğlu; Özgür Martin; Rebecca Sanders

doi:10.1016/j.jmaa.2022.126130

Disjoint and simultaneously hypercyclic pseudo-shifts

Nurhan Çolakoğlu, Özgür Martin^*, Rebecca Sanders

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

Özet

We characterize disjoint and simultaneously hypercyclic tuples of unilateral pseudo-shift operators on ℓ^p(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 dil	İngilizce
Makale numarası	126130
Dergi	Journal of Mathematical Analysis and Applications
Hacim	512
Basın numarası	2
DOI'lar	https://doi.org/10.1016/j.jmaa.2022.126130
Yayın durumu	Yayınlandı - 15 Ağu 2022

Bibliyografik not

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 ].

Finansörler	Finansör numarası
Istanbul Technical University Scientific Research Project	TAB-2017-40552
Mimar Sinan Fine Arts University	BAP-2018-15

Belgeye Erişim

10.1016/j.jmaa.2022.126130

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

@article{bfa68cfeeb96493a80c023bd4ca9a7b1,

title = "Disjoint and simultaneously hypercyclic pseudo-shifts",

abstract = "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.",

keywords = "Disjoint hypercyclicity, Hypercyclic operators, Hypercyclic vectors, Pseudo-shifts, Weighted shifts",

author = "Nurhan {\c C}olakoğlu and {\"O}zg{\"u}r Martin and Rebecca Sanders",

note = "Publisher Copyright: {\textcopyright} 2022 Elsevier Inc.",

year = "2022",

month = aug,

day = "15",

doi = "10.1016/j.jmaa.2022.126130",

language = "English",

volume = "512",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

number = "2",

}

TY - JOUR

T1 - Disjoint and simultaneously hypercyclic pseudo-shifts

AU - Çolakoğlu, Nurhan

AU - Martin, Özgür

AU - Sanders, Rebecca

PY - 2022/8/15

Y1 - 2022/8/15

N2 - 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.

AB - 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.

KW - Disjoint hypercyclicity

KW - Hypercyclic operators

KW - Hypercyclic vectors

KW - Pseudo-shifts

KW - Weighted shifts

UR - http://www.scopus.com/inward/record.url?scp=85126869003&partnerID=8YFLogxK

U2 - 10.1016/j.jmaa.2022.126130

DO - 10.1016/j.jmaa.2022.126130

M3 - Article

AN - SCOPUS:85126869003

SN - 0022-247X

VL - 512

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

M1 - 126130

ER -

Disjoint and simultaneously hypercyclic pseudo-shifts

Özet

Bibliyografik not

Finansman

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap