Li-Yorke chaos for composition operators on Orlicz spaces
Yousef Estaremi
TL;DR
This paper characterizes when composition operators on Orlicz spaces exhibit Li-Yorke chaos, providing necessary and sufficient conditions, and extends known results from Lp-spaces to more general Orlicz spaces.
Contribution
It introduces new criteria for Li-Yorke chaos in composition operators on Orlicz spaces, expanding the understanding beyond Lp-spaces.
Findings
Necessary and sufficient conditions for Li-Yorke chaos
Equivalent conditions in certain cases
Extension of results from Lp-spaces to Orlicz spaces
Abstract
In this paper we characterize Li-Yorke chaotic composition operators on Orlicz spaces. Indeed some necessary and suffcient conditions are provided for Li-Yorke chaotic composition operator C' on the Orlicz space Lp. In some cases we have equivalent conditions for composition operators on Orlicz spaces to be Li-Yorke chaotic. The results of this paper extend similar results in Lp-spaces. Our results are essentially based on the results of [4].
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Taxonomy
TopicsHolomorphic and Operator Theory · Advanced Topics in Algebra · Analytic and geometric function theory