Chaos for Cowen-Douglas operators
Bingzhe Hou, Puyu Cui, Yang Cao
TL;DR
This paper establishes conditions under which Cowen-Douglas operators exhibit chaos, specifically Devaney and distributional chaos, and provides a new criterion for distributional chaos in bounded linear operators.
Contribution
It introduces a sufficient condition for chaos in Cowen-Douglas operators and a novel distributionally chaotic criterion for bounded linear operators on Banach spaces.
Findings
Cowen-Douglas operators can be chaotic under certain conditions
A new criterion for distributional chaos is proposed
The results apply to bounded linear operators on Banach spaces
Abstract
In this article, we provide a sufficient condition which gives Devaney chaos and distributional chaos for Cowen-Douglas operators. In fact, we obtain a distributionally chaotic criterion for bounded linear operators on Banach spaces.
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Taxonomy
Topicsadvanced mathematical theories · Differential Equations and Boundary Problems · Nonlinear Differential Equations Analysis