Hypercyclicity of Composition Operators on Orlicz Function Spaces
und | 29. Mai 2020
Über diesen Artikel
Online veröffentlicht: 29. Mai 2020
Seitenbereich: 34 - 41
Eingereicht: 31. Dez. 2019
Akzeptiert: 28. Feb. 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.