Hypercyclicity of weighted convolution operators on homogeneous spaces

DOI10.1090/S0002-9939-09-09889-XzbMath1177.47013OpenAlexW2006541944MaRDI QIDQ5322865

C. Chen, Cho-Ho Chu

Publication date: 23 July 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-09-09889-x

zbMATH Keywords

convolutionhomogeneous spacehypercyclic operatorhypercyclicity criteriontopologically mixinghereditarily hypercyclic

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Harmonic analysis on homogeneous spaces (43A85) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Linear operators on function spaces (general) (47B38) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items

Disjoint supercyclic weighted translations generated by aperiodic elements ⋮ Disjoint hypercyclic weighted translations generated by aperiodic elements ⋮ Subspace-hypercyclicity of conditional weighted translations on locally compact groups ⋮ Hypercyclicity of weighted translations on Orlicz spaces ⋮ Disjoint hypercyclic powers of weighted translations on locally compact Hausdorff spaces ⋮ Chaos for Cosine Operator Functions Generated by Shifts ⋮ Hypercyclic weighted translations generated by non-torsion elements ⋮ Hypercyclic sequences of weighted translations on hypergroups ⋮ Hypercyclic generalized shift operators ⋮ Chaotic weighted translations on groups ⋮ Hypercyclicity for a Class of Discrete Spatiotemporal Systems ⋮ Chaotic and hypercyclic operators on solid Banach function spaces ⋮ Hypercyclic weighted translations on groups ⋮ Hypercyclicity of weighted translations on locally compact Hausdorff spaces ⋮ Dynamics of weighted translations on Orlicz spaces ⋮ Dynamics of weighted translations generated by group actions ⋮ Topological transitivity for cosine operator functions on groups

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