Some basic properties of hypercyclic operators

DOI10.1007/978-981-16-0174-3_9OpenAlexW3203702855MaRDI QIDQ2067326

Kit C. Chan

Publication date: 18 January 2022

Full work available at URL: https://doi.org/10.1007/978-981-16-0174-3_9

zbMATH Keywords

common hypercyclic vectorhypercyclic extensionpath of hypercyclic operators

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Linear operator approximation theory (47A58) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Common hypercyclic vectors for the conjugate class of a hypercyclic operator
• Common hypercyclic vectors for the unitary orbit of a hypercyclic operator
• Simultaneous chaotic extensions for general operators on a Hilbert subspace
• Limits of hypercyclic and supercyclic operators
• Existence of hypercyclic operators on topological vector spaces
• Common hypercyclic vectors for multiples of backward shift.
• Topologically transitive extensions of bounded operators
• Restrictions of an invertible chaotic operator to its invariant subspaces
• Sequences of derivatives and normal families
• Prescribed compressions of dual hypercyclic operators
• A Banach Space which Admits No Chaotic Operator
• Universal Vectors for Operators on Spaces of Holomorphic Functions
• A Hypercyclic Operator whose Adjoint is Also Hypercyclic
• On hypercyclic operators on Banach spaces
• On orbits of elements

This page was built for publication: Some basic properties of hypercyclic operators