Disjoint frequent hypercyclicity of composition operators

DOI10.1016/j.aim.2023.108945OpenAlexW4309844071MaRDI QIDQ2692563

Frederic Bayart

Publication date: 22 March 2023

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.13048

zbMATH Keywords

composition operatorsdisjoint hypercyclicity

Mathematics Subject Classification ID

Cyclic vectors, hypercyclic and chaotic operators (47A16)

Cites Work

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• Central limit theorems in linear dynamics
• Disjoint hypercyclic linear fractional composition operators
• Composition operators and classical function theory
• Disjoint frequently hypercyclic pseudo-shifts
• Baire theorem and hypercyclic algebras
• Subspaces of frequently hypercyclic functions for sequences of composition operators
• Hypercyclicity and unimodular point spectrum
• Disjointness in hypercyclicity
• Existence of disjoint frequently hypercyclic operators which fail to be disjoint weakly mixing
• Cyclic phenomena for composition operators
• Frequently hypercyclic operators
• Chaotic composition operators on the classical holomorphic spaces
• Disjoint hypercyclic operators

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