Hypercyclic weighted translations on groups

DOI10.1090/S0002-9939-2011-10718-4zbMath1221.47017OpenAlexW2022662265MaRDI QIDQ3020370

Cho-Ho Chu, C. Chen

Publication date: 4 August 2011

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-2011-10718-4

zbMATH Keywords

convolutionlocally compact grouphypercyclic operatortopologically mixing operator\(L^{p}\)-space

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Linear operators on function spaces (general) (47B38) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (32)

Some characterizations of disjoint topological transitivity on Orlicz spaces ⋮ 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 composition operators on \(L^p\)-spaces ⋮ Hypercyclicity of weighted translations on Orlicz spaces ⋮ Chaotic operators on hypergroups ⋮ Disjoint hypercyclic powers of weighted translations on locally compact Hausdorff spaces ⋮ Supercyclic dynamics of translations on weighted Orlicz spaces ⋮ Hypercyclic weighted translations generated by non-torsion elements ⋮ Hypercyclic sequences of weighted translations on hypergroups ⋮ Subspace-supercyclicity of conditional weighted type translations on \(L^p(G)\) ⋮ A NEW TYPE OF WEIGHTED ORLICZ SPACES ⋮ Hypercyclic generalized shift operators ⋮ Chaotic weighted translations on groups ⋮ Disjoint dynamics on weighted Orlicz spaces ⋮ Topologically transitive sequence of cosine operators on Orlicz spaces ⋮ Chaos for cosine operator functions on groups ⋮ Chaotic and hypercyclic operators on solid Banach function spaces ⋮ Disjoint topological transitivity for cosine operator functions on groups ⋮ On aperiodicity and hypercyclic weighted translation operators ⋮ Hypercyclicity of weighted translations on locally compact Hausdorff spaces ⋮ Disjoint dynamics of weighted translations on solid spaces ⋮ Dynamics of weighted translations on Orlicz spaces ⋮ Disjoint topological transitivity for weighted translations generated by group actions ⋮ Linear dynamics of discrete cosine functions on solid Banach function spaces ⋮ Chaotic translations on weighted Orlicz spaces ⋮ A note On Orlicz algebras ⋮ Dynamics of weighted translations generated by group actions ⋮ Topological transitivity for cosine operator functions on groups ⋮ Universal family of translations on weighted Orlicz spaces ⋮ Convolution properties of Orlicz spaces on hypergroups

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