Common hypercyclic vectors and the hypercyclicity criterion

DOI10.1007/s00020-009-1711-0zbMath1196.47008OpenAlexW2041324487MaRDI QIDQ733646

Rebecca Sanders

Publication date: 19 October 2009

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

Full work available at URL: https://doi.org/10.1007/s00020-009-1711-0

zbMATH Keywords

hypercyclic operatorhypercyclic vectorstrong operator topologyunilateral weighted backward shift

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Cyclic vectors, hypercyclic and chaotic operators (47A16) Tensor products of linear operators (47A80)

Related Items (5)

Common hypercyclic vectors for the conjugate class of a hypercyclic operator ⋮ Non-existence of common hypercyclic entire functions for certain families of translation operators ⋮ Common hypercyclic vectors for the unitary orbit of a hypercyclic operator ⋮ Common hypercyclic functions for translation operators with large gaps ⋮ Typical operators admit common cyclic vectors

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