Chaotic weighted translations on groups

DOI10.1007/s00013-011-0262-1zbMath1234.47003OpenAlexW2066316854MaRDI QIDQ636739

Juan-Miguel Gracia

Publication date: 30 August 2011

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-011-0262-1

zbMATH Keywords

locally compact groupshypercyclic operatorschaotic operators\(L^{p}\)-spaces

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) Convolution, factorization for one variable harmonic analysis (42A85) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (17)

Disjoint supercyclic weighted translations generated by aperiodic elements ⋮ Disjoint hypercyclic weighted translations generated by aperiodic elements ⋮ Chaotic operators on hypergroups ⋮ Hypercyclic weighted translations generated by non-torsion elements ⋮ Hypercyclic sequences of weighted translations on hypergroups ⋮ Hypercyclic generalized shift operators ⋮ Disjoint dynamics on weighted Orlicz spaces ⋮ Chaos for cosine operator functions on groups ⋮ On aperiodicity and hypercyclic weighted translation operators ⋮ 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 ⋮ Dynamics of weighted translations generated by group actions ⋮ Topological transitivity for cosine operator functions on groups ⋮ Convolution properties of Orlicz spaces on hypergroups

Cites Work

• Unnamed Item
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• Operators with dense, invariant, cyclic vector manifolds
• Hypercyclic translation \(C_0\)-semigroups on complex sectors
• Rotations of hypercyclic and supercyclic operators
• Chaos for functions of discrete and continuous weighted shift operators
• Hypercyclic weighted translations on groups
• Semigroups of chaotic operators
• A Hypercyclic Operator whose Adjoint is Also Hypercyclic
• Hypercyclic and chaotic semigroups of linear operators
• Hypercyclic and chaotic weighted shifts
• Hypercyclic, topologically mixing and chaotic semigroups on Banach spaces
• Hypercyclic Weighted Shifts
• Hypercyclicity of weighted convolution operators on homogeneous spaces
• On Central Topological Groups

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