Hypercyclicity of Composition Operators on Orlicz Function Spaces

F. Jafari; Z. Kamali

doi:10.2478/mjpaa-2020-0003

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Hypercyclicity of Composition Operators on Orlicz Function Spaces

Moroccan Journal of Pure and Applied Analysis

Volume 6 (2020): Issue 1 (June 2020)

By: F. Jafari and Z. Kamali

Open Access

|May 2020

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.

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