Supercyclic Weighted Translations on Quotient Spaces

In this note, we give the sufficient and necessary condition for weighted translations on the Orlicz spaces of quotient spaces to be supercyclic. By applying this characterization of supercyclicity, the descriptions of hypercyclicity, topological mixing and Cesàro hypercyclicity on such spaces are obtained as well.

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Journal
Axioms
Published
2025-12-03
DOI
https://doi.org/10.3390/axioms14120898
Primary Topic
Holomorphic and Operator Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

Supercyclic Weighted Translations on Quotient Spaces

AliReza Bagheri Salec, Seyyed Mohammad Tabatabaie, Chung-Chuan Chen, Zahra Saeed Abdulazeez Alfaikhrani
Axioms
Holomorphic and Operator Theory
article

Supercyclic Weighted Translations on Quotient Spaces

AliReza Bagheri Salec, Seyyed Mohammad Tabatabaie, Chung-Chuan Chen, Zahra Saeed Abdulazeez Alfaikhrani
article en

Abstract

In this note, we give the sufficient and necessary condition for weighted translations on the Orlicz spaces of quotient spaces to be supercyclic. By applying this characterization of supercyclicity, the descriptions of hypercyclicity, topological mixing and Cesàro hypercyclicity on such spaces are obtained as well.

AxiomsVol. 14(12)
University of Qom (IR), National Taichung University of Education (TW)
Openalex Percentile: Top 48%
Holomorphic and Operator Theory
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