Linear Chaos on Fréchet Spaces
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Publication:4653850
DOI10.1142/S0218127403007497zbMath1079.47008OpenAlexW1997513250MaRDI QIDQ4653850
Félix Martínez-Giménez, José Bonet, Alfred Peris Manguillot
Publication date: 8 March 2005
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127403007497
Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Cyclic vectors, hypercyclic and chaotic operators (47A16)
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Cites Work
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- Operators with dense, invariant, cyclic vector manifolds
- Hypercyclic operators on non-normable Fréchet spaces
- Hereditarily hypercylic operators
- Existence of hypercyclic operators on topological vector spaces
- Remarks on finitely hypercyclic and finitely supercyclic operators
- Hypercyclic and cyclic vectors
- Sequences of derivatives and normal families
- The range of operators on von Neumann algebras
- A Banach Space which Admits No Chaotic Operator
- On Devaney's Definition of Chaos
- Period Three Implies Chaos
- On hypercyclic operators on Banach spaces
- Invariant manifolds of hypercyclic vectors for the real scalar case
- Universal families and hypercyclic operators
- Regular periodic decompositions for topologically transitive maps
- Hypercyclic operators that commute with the Bergman backward shift
- Hypercyclic and Chaotic Convolution Operators
- CHAOS FOR BACKWARD SHIFT OPERATORS
- On a conjecture of D. Herrero concerning hypercyclic operators
- Multi-hypercyclic operators are hypercyclic