Hypercyclic semigroups and somewhere dense orbits.
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Publication:1565892
DOI10.1016/S1631-073X(02)02572-4zbMath1041.47003OpenAlexW2046863307MaRDI QIDQ1565892
George Costakis, Alfred Peris Manguillot
Publication date: 27 May 2003
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s1631-073x(02)02572-4
One-parameter semigroups and linear evolution equations (47D06) Cyclic vectors, hypercyclic and chaotic operators (47A16)
Related Items (17)
\(\Gamma\)-supercyclicity ⋮ Linear dynamics of semigroups generated by differential operators ⋮ Supercyclic \(C_{0}\)-semigroups, stability and somewhere dense orbits ⋮ Subsemigroups of transitive semigroups ⋮ Hypercyclicity and mixing for cosine operator functions generated by second order partial differential operators ⋮ Hypercyclic behaviour of operators in a hypercyclic \(C_{0}\)-semigroup ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The specification property for \(C_0\)-semigroups ⋮ Spectral characterization of weak topological transitivity ⋮ Topologically transitive semigroup actions of real linear fractional transformations ⋮ Hypercyclic semigroups generated by Ornstein-Uhlenbeck operators ⋮ \(\Gamma\)-supercyclicity for strongly continuous semigroups ⋮ On the recurrent \(C_0\)-semigroups, their existence, and some criteria ⋮ Hypercyclic $C_0$-semigroups and evolution families generated by first order differential operators ⋮ Somewhere dense orbit that is not dense on a complex Hilbert space
Cites Work
- Unnamed Item
- Remarks on finitely hypercyclic and finitely supercyclic operators
- Invariant Manifolds of Hypercyclic Vectors
- Hypercyclic and chaotic semigroups of linear operators
- Somewhere dense orbits are everywhere dense
- On a conjecture of D. Herrero concerning hypercyclic operators
- Multi-hypercyclic operators are hypercyclic
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