Chaos and frequent hypercyclicity for weighted shifts

DOI10.1017/etds.2020.122OpenAlexW3111100615WikidataQ114119327 ScholiaQ114119327MaRDI QIDQ5165498

Karl-Goswin Grosse-Erdmann, Quentin Menet, Stéphane Charpentier

Publication date: 17 November 2021

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.09186

zbMATH Keywords

weighted shift operatorfrequently hypercyclic operatorchaotic operatorKöthe sequence spacepower series space

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (1)

Common frequent hypercyclicity

Cites Work

• Linear chaos
• The Fréchet spaces \(ces(p+)\), \(1<p<\infty\)
• Upper frequent hypercyclicity and related notions
• Hypercyclicity: the role of the unimodular point spectrum
• Inclusion theorems for absolutely \(\lambda\)-summing maps
• Linear chaos and frequent hypercyclicity
• A Banach Space which Admits No Chaotic Operator
• Frequently hypercyclic operators
• Invariant Gaussian measures for operators on Banach spaces and linear dynamics
• On the spectrum of frequently hypercyclic operators
• Hypercyclic and chaotic weighted shifts
• Difference sets and frequently hypercyclic weighted shifts
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