Total and non-total suborbits for hypercyclic operators

DOI10.1007/S13398-022-01351-0OpenAlexW4308791251MaRDI QIDQ2681966

Luis Bernal-González, Antonio Bonilla

Publication date: 31 January 2023

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-022-01351-0

zbMATH Keywords

hypercyclic operatorsupercyclic operatorsuborbittotal setorbit under an operator

Mathematics Subject Classification ID

Cyclic vectors, hypercyclic and chaotic operators (47A16)

Cites Work

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• Linear chaos
• Hypercyclic operators are subspace hypercyclic
• Hypercyclic operators on non-normable Fréchet spaces
• Existence of hypercyclic operators on topological vector spaces
• Construction of operators with prescribed behaviour
• A note on supercyclic vectors of Hilbert space operators
• Construction of operators with prescribed orbits in Fréchet spaces with a continuous norm
• On the existence of a fundamental total and bounded biorthogonal sequence in every separable Banach space, and related constructions of uniformly bounded orthonormal systems in L²
• On hypercyclic operators on Banach spaces
• On linear operators having supercyclic vectors

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