Chaos for Cowen-Douglas operators

DOI10.1090/S0002-9939-09-10046-1zbMath1192.47029arXiv0903.4246OpenAlexW1971416993MaRDI QIDQ3550567

Puyu Cui, Bingzhe Hou, Cao Yang

Publication date: 31 March 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.4246

zbMATH Keywords

strongly mixingdistributional chaosDevaney chaosCowen-Douglas operators

Mathematics Subject Classification ID

Related Items (18)

Unnamed Item ⋮ Li-Yorke chaos translation set for linear operators ⋮ Remarks on multiples of distributionally chaotic operators ⋮ Distributionally \(n\)-scrambled set for weighted shift operators ⋮ Some dynamical properties for linear operators ⋮ Distributional chaos for operators on Banach spaces ⋮ Cowen-Douglas function and its application on chaos ⋮ Distributionally \(n\)-chaotic dynamics for linear operators ⋮ Distributional chaos for linear operators ⋮ Distributional chaos for operators with full scrambled sets ⋮ On the existence of polynomials with chaotic behaviour ⋮ Li-Yorke chaotic eigen set of the backward shift operator on \(\ell^2 (\mathbb{N})\) ⋮ Perturbation of distributionally chaotic operators ⋮ Mean Li-Yorke chaos in Banach spaces ⋮ Li-Yorke and distributionally chaotic operators ⋮ CHAOS IN A CLASS OF NONCONSTANT WEIGHTED SHIFT OPERATORS ⋮ CHAOS IN THE WEIGHTED BIEBUTOV SYSTEMS ⋮ Investigating Distributional Chaos for Operators on Fréchet Spaces

Cites Work

• Unnamed Item
• Relations between mixing and distributional chaos
• A chaotic function with a distributively scrambled set of full Lebesgue measure
• On maps with dense orbits and the definition of chaos
• Distributional chaos for triangular maps
• The three versions of distributional chaos
• A linear chaotic quantum harmonic oscillator
• Substitution systems and the three versions of distributional chaos
• Distributional chaos for backward shifts
• A quantum harmonic oscillator and strong chaos
• On Devaney's Definition of Chaos
• Period Three Implies Chaos
• Measures of Chaos and a Spectral Decomposition of Dynamical Systems on the Interval
• Hypercyclic and chaotic weighted shifts
• Devaney’s chaos implies existence of 𝑠-scrambled sets
• Complex geometry and operator theory
• Devaney's chaos or 2-scattering implies Li-Yorke's chaos

This page was built for publication: Chaos for Cowen-Douglas operators