Residuality of sets of hypercyclic operators

DOI10.1007/s00020-011-1936-6zbMath1272.47011OpenAlexW1994652068MaRDI QIDQ434285

Alejandro Rodríguez-Martínez

Publication date: 10 July 2012

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-011-1936-6

zbMATH Keywords

hypercyclicitysupercyclicitycomposition Volterra operators

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Integral operators (47G10) Cyclic vectors, hypercyclic and chaotic operators (47A16) Kernel operators (47B34)

Related Items (1)

Mirror operator and its application on chaos

Cites Work

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• Universal elements for non-linear operators and their applications
• Spectral theory of Volterra-composition operators
• The spectrum of a Volterra composition operator
• Cyclic behaviour of Volterra composition operators
• Spaces that admit hypercyclic operators with hypercyclic adjoints
• A Hypercyclic Operator whose Adjoint is Also Hypercyclic
• Universal families and hypercyclic operators
• Hypercyclic Weighted Shifts
• Supercyclicity and weighted shifts
• BANACH SPACES WITH SEPARABLE DUALS SUPPORT DUAL HYPERCYCLIC OPERATORS
• Supercyclic subspaces: Spectral theory and weighted shifts

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