Hypercyclicity of Composition Operators on Orlicz Function Spaces

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.

Keywords

• composition operator
• multiplication operators
• orlicz function spaces
• hyper-cyclic operators
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