Disjoint hypercyclic weighted translations generated by aperiodic elements

DOI10.1007/s13348-015-0136-0zbMath1384.47004OpenAlexW1987554426MaRDI QIDQ314628

Yu-Xia Liang, Shi-An Han

Publication date: 16 September 2016

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13348-015-0136-0

zbMATH Keywords

\(L^p\)-spacelocally compact groupdisjoint hypercyclic operatorsweighted translations

Mathematics Subject Classification ID

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

Related Items (16)

Disjoint supercyclic weighted translations generated by aperiodic elements ⋮ Disjoint supercyclic weighted pseudo-shifts on Banach sequence spaces ⋮ Disjoint hypercyclic powers of weighted translations on locally compact Hausdorff spaces ⋮ Characterizations of the \(d \mathcal{F} \)-transitive and \(\mathcal{F} \)-transitive families of composition operators on \(L^p\)-spaces ⋮ Disjoint linear dynamical properties of elementary operators ⋮ Disjoint dynamics on weighted Orlicz spaces ⋮ Disjoint topological transitivity for cosine operator functions on groups ⋮ Disjoint hypercyclic powers of weighted pseudo-shifts ⋮ Disjoint hypercyclic weighted pseudo-shifts on Banach sequence spaces ⋮ Disjoint dynamics of weighted translations on solid spaces ⋮ Disjointness of the differentiation operator tuple on weighted Banach spaces of entire functions ⋮ Unnamed Item ⋮ Dynamics of weighted translations on Orlicz spaces ⋮ Disjoint topological transitivity for weighted translations generated by group actions ⋮ Chaotic translations on weighted Orlicz spaces ⋮ Dynamics of weighted translations generated by group actions

Cites Work

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• Disjointness in hypercyclicity
• Weighted shifts and disjoint hypercyclicity
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• Disjoint hypercyclic operators
• Hypercyclicity of weighted convolution operators on homogeneous spaces
• On Central Topological Groups

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