Li-Yorke and Expansive Composition Operators on Lorentz Spaces
Romesh Kumar, Rajat Singh
TL;DR
This paper explores the dynamics of Li-Yorke and expansive composition operators on Lorentz spaces, providing new insights into their behavior and properties in functional analysis.
Contribution
It introduces new results on Li-Yorke chaos and expansiveness of composition operators specifically on Lorentz spaces, extending previous work in the field.
Findings
Characterization of Li-Yorke chaotic composition operators
Conditions for expansive composition operators on Lorentz spaces
Extension of existing theories to Lorentz space setting
Abstract
In this paper, we investigate Li-Yorke composition operators and some of their variations on Lorentz spaces. Further, we also study expansive composition operators on these spaces. The work of the paper is essentially based on the work in [1], [9], [11], and [13].
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Taxonomy
TopicsHolomorphic and Operator Theory · Advanced Topics in Algebra · Advanced Banach Space Theory