Li-Yorke and distributionally chaotic operators

DOI10.1016/j.jmaa.2010.06.011zbMath1214.47012arXiv1005.3634OpenAlexW2024695866MaRDI QIDQ710911

Teresa Bermúdez, Félix Martínez-Giménez, Alfred Peris Manguillot, Antonio Bonilla

Publication date: 22 October 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.3634

zbMATH Keywords

hyperbolic backward shift operator Li-Yorke chaos scrambled set distributional chaos weighted shift operators strictly singular operator irregular vector distributionally irregular vectors irregular manifold

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Cyclic vectors, hypercyclic and chaotic operators (47A16) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

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