The dynamic behavior of conjugate multipliers on some reflexive Banach spaces of analytic functions
Zhen Rong
TL;DR
This paper characterizes the hypercyclic, mixing, and chaotic properties of conjugate multipliers on certain reflexive Banach spaces of analytic functions, extending prior work by Godefroy and Shapiro.
Contribution
It provides a new characterization of conjugate multipliers' dynamic behavior on reflexive spaces, expanding the understanding of their chaotic properties.
Findings
Identification of conditions for hypercyclicity
Conditions for mixing behavior
Criteria for chaos in conjugate multipliers
Abstract
Extending previous results of Godefroy and Shapiro we characterize the hypercyclic, mixing and chaotic conjugate multipliers on some reflexive spaces of analytic functions.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Advanced Differential Equations and Dynamical Systems · Nonlinear Differential Equations Analysis