Some classes of composition operators on Orlicz spaces
Z. Huang, Y. Estaremi
TL;DR
This paper investigates the properties of composition operators on Orlicz spaces, focusing on conditions for expansivity and positive expansivity, and provides characterizations especially in dissipative systems.
Contribution
It offers necessary and sufficient conditions for various types of expansivity of composition operators on Orlicz spaces, including in dissipative cases.
Findings
Characterization of expansive composition operators
Conditions for positive and uniform expansivity
Equivalent conditions in dissipative systems
Abstract
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.
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Taxonomy
TopicsHolomorphic and Operator Theory · Approximation Theory and Sequence Spaces · Advanced Banach Space Theory