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Bull. Korean Math. Soc. 2024; 61(6): 1685-1703
Online first article November 22, 2024 Printed November 30, 2024
https://doi.org/10.4134/BKMS.b240006
Copyright © The Korean Mathematical Society.
Some classes of composition operators on Orlicz spaces
Yousef Estaremi; Zhidong Huang
Golestan University; South Kensington Campus, Imperial College London
The notions of expansivity and positive expansivity for composition operators on Orlicz spaces are investigated. In particular, necessary and sufficient conditions are given for a composition operator to be expansive, positively expansive, and uniformly expansive. Additionally, equivalent conditions for these concepts are provided in the case that the system is dissipative.
Keywords: Orlicz spaces, composition operators, expansivity, structural stability
MSC numbers: Primary 47B33, 37B65
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