A study of Bishop operators from the point of view of linear dynamics

DOI10.1016/j.jmaa.2023.127204arXiv2207.11419OpenAlexW4323654959MaRDI QIDQ6155836

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Publication date: 7 June 2023

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

Full work available at URL: https://arxiv.org/abs/2207.11419

zbMATH Keywords

cyclic vectorsBishop-type operatorsapproximation by rational numbersco-meager setsnon-trivial closed invariant subspaces

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Cyclic vectors, hypercyclic and chaotic operators (47A16) Operators on real function spaces (47B92)

Cites Work

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• Linear chaos
• Invariant subspaces for Bishop-type operators
• Operators with dense, invariant, cyclic vector manifolds
• Hereditarily hypercylic operators
• Rotations of hypercyclic and supercyclic operators
• Invariant subspaces for Bishop operators and beyond
• Multivariable Weighted Composition Operators: Lack of Point Spectrum, and Cyclic Vectors
• Universal Vectors for Operators on Spaces of Holomorphic Functions
• Universal families and hypercyclic operators
• On hypercyclicity and supercyclicity criteria
• Invariant Subspaces for Bishop's Operators

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