Li-Yorke chaotic eigen set of the backward shift operator on \(\ell^2 (\mathbb{N})\)

DOI10.1515/conop-2020-0105zbMath1495.47059OpenAlexW3095159562MaRDI QIDQ2219976

B. Sanooj, P. B. Vinod Kumar

Publication date: 21 January 2021

Published in: Concrete Operators (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/conop-2020-0105

zbMATH Keywords

Li-Yorke chaosbackward shiftirregular vectorseigen set

Mathematics Subject Classification ID

Topological dynamics (37B99) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Cites Work

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• Li-Yorke chaos of backward shift operators on Köthe sequence spaces
• Some dynamical properties for linear operators
• Linear chaos
• Li-Yorke and distributionally chaotic operators
• Irregular vectors of Hilbert space operators
• Li-Yorke chaos translation set for linear operators
• Chaos for Cowen-Douglas operators
• Period Three Implies Chaos

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