Common hypercyclic vectors for the unitary orbit of a hypercyclic operator

DOI10.1016/j.jmaa.2011.08.056zbMath1230.47020OpenAlexW1977589117MaRDI QIDQ645364

Kit C. Chan, Rebecca Sanders

Publication date: 15 November 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.08.056

zbMATH Keywords

unitary orbithypercyclic operatorscommon hypercyclic vectorspath of operators

Mathematics Subject Classification ID

Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (4)

Non-existence of common hypercyclic entire functions for certain families of translation operators ⋮ Notes about the structure of common supercyclic vectors ⋮ Common hypercyclic functions for translation operators with large gaps ⋮ Some basic properties of hypercyclic operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Common hypercyclic vectors for the conjugate class of a hypercyclic operator
• Common hypercyclic vectors and the hypercyclicity criterion
• Hypercyclic behaviour of operators in a hypercyclic \(C_{0}\)-semigroup
• Hereditarily hypercylic operators
• Common hypercyclic vectors for multiples of backward shift.
• Approximation by chaotic operators and by conjugate classes.
• Genericity of wild holomorphic functions and common hypercyclic vectors.
• Rotations of hypercyclic and supercyclic operators
• Hypercyclicity and unimodular point spectrum
• Universal Vectors for Operators on Spaces of Holomorphic Functions
• Invariant Manifolds of Hypercyclic Vectors
• How to get common universal vectors

This page was built for publication: Common hypercyclic vectors for the unitary orbit of a hypercyclic operator