<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper, we discuss the hypercyclic properties of composition operators on Orlicz function spaces. We give some different conditions under which a composition operator on Orlicz spaces is hyper-cyclic or not. Similarly, multiplication operators are considered. It is shown that there is no hypercyclic multiplication operator on Orlicz spaces.</p></abstract>

In this paper, we discuss the hypercyclic properties of composition operators on Orlicz function spaces. We give some different conditions under which a composition operator on Orlicz spaces is hyper-cyclic or not. Similarly, multiplication operators are considered. It is shown that there is no hypercyclic multiplication operator on Orlicz spaces.

Hypercyclicity of Composition Operators on Orlicz Function Spaces

Department of Mathematics, Faculty of Sciences

Moroccan Journal of Pure and Applied Analysis

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Hypercyclicity of Composition Operators on Orlicz Function Spaces"}

In this paper, we discuss the hypercyclic properties of composition operators on Orlicz function spaces. We give some different conditions under which a...

Hypercyclicity of Composition Operators on Orlicz Function Spaces

Publié en ligne: 29 mai 2020

Pages: 34 - 41

Reçu: 31 déc. 2019

Accepté: 28 févr. 2020

DOI: https://doi.org/10.2478/mjpaa-2020-0003

Mots clés
Composition operator, Multiplication operators, Orlicz function spaces, Hyper-cyclic operators

© 2020 F. Jafari et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Hypercyclicity of Composition Operators on Orlicz Function Spaces

Publié en ligne: 29 mai 2020

Pages: 34 - 41

Reçu: 31 déc. 2019

Accepté: 28 févr. 2020

DOI: https://doi.org/10.2478/mjpaa-2020-0003

Mots clésComposition operator, Multiplication operators, Orlicz function spaces, Hyper-cyclic operators

© 2020 F. Jafari et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Mots clés
Composition operator, Multiplication operators, Orlicz function spaces, Hyper-cyclic operators