Faber-hypercyclic operators

DOI10.1007/s11856-008-1003-4zbMath1156.47008OpenAlexW2126063823MaRDI QIDQ940759

Sophie Grivaux, Catalin Badea

Publication date: 3 September 2008

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-008-1003-4

zbMATH Keywords

eigenvectorsspectrum\(\Omega\)-hypercyclicity

Mathematics Subject Classification ID

Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (3)

Faber polynomials and spectrum localisation ⋮ Size of the peripheral point spectrum under power or resolvent growth conditions ⋮ $k$-bitransitive and compound operators on Banach spaces

Cites Work

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• On a theorem of Godefroy and Shapiro
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• Limits of hypercyclic and supercyclic operators
• Approximation by Faber polynomials for a class of Jordan domains
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• Derivatives of Faber polynomials and Markov inequalities
• Unimodular eigenvalues and linear chaos in Hilbert spaces
• Perturbations of hypercyclic vectors.
• The Faber operator and its boundedness
• On Faber polynomials and Faber expansions
• Hypercyclicity and unimodular point spectrum
• Frequently hypercyclic operators
• Invariant Gaussian measures for operators on Banach spaces and linear dynamics
• Frequently hypercyclic operators and vectors
• Invariant Manifolds of Hypercyclic Vectors
• Universal families and hypercyclic operators
• Spectral Inclusion and Analytic Continuation
• Porosity and hypercyclic operators

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