Chaos and frequent hypercyclicity for composition operators

DOI10.1017/S0013091521000286MaRDI QIDQ5159377

Benito Pires, Udayan B. Darji

Publication date: 27 October 2021

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

Full work available at URL: https://arxiv.org/abs/2009.13713

zbMATH Keywords

\(L^p\)-spacecomposition operatorchaotic operatorfrequently hypercyclic

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Linear composition operators (47B33) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (5)

Shift-like operators on \(L^p(X)\) ⋮ Expansivity and strong structural stability for composition operators on \(L^p\) spaces ⋮ The interplay between recurrence and hypercyclicity in dissipative contexts ⋮ On the existence of infinite-dimensional closed subspaces of frequently hypercyclic vectors for \(T_f\) ⋮ On the spectrum of weighted shifts

Cites Work

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• Invariant Gaussian measures for operators on Banach spaces and linear dynamics
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• Hypercyclic and chaotic weighted shifts
• Difference sets and frequently hypercyclic weighted shifts

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