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Hypercyclicity of Composition Operators on Orlicz Function Spaces

F. Jafari

F. Jafari

Department of Mathematics, Faculty of Sciences, Shiraz Branch, Islamic Azad UniversityShiraz,
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Jafari, F.
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Z. Kamali

Z. Kamali

Department of Mathematics, Faculty of Sciences, Shiraz Branch, Islamic Azad UniversityShiraz,
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Kamali, Z.
  
May 29, 2020
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Published Online: May 29, 2020
Page range: 34 - 41
Received: Dec 31, 2019
Accepted: Feb 28, 2020
DOI: https://doi.org/10.2478/mjpaa-2020-0003
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© 2020 F. Jafari et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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.

Language:
English
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3 times per year
Journal Subjects:
Mathematics, Analysis, Differential Equations and Dynamical Systems, Probability and Statistics, Numerical and Computational Mathematics
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