Hypercyclic $C_0$-semigroups and evolution families generated by first order differential operators

DOI10.1090/S0002-9939-09-09955-9zbMath1187.47034MaRDI QIDQ3642671

Thomas Kalmes

Publication date: 6 November 2009

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

zbMATH Keywords

hypercyclic operatorshypercyclic evolution familyhypercyclic \(C_0\)-semigroup

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (8)

Hypercyclicity and topologically mixing property for abstract time-fractional equations ⋮ Hypercyclicity and mixing for cosine operator functions generated by second order partial differential operators ⋮ Distributionally chaotic families of operators on Fréchet spaces ⋮ Hypercyclic and Topologically Mixing Properties of Certain Classes of Abstract Time-Fractional Equations ⋮ A remark on the Frequent Hypercyclicity Criterion for weighted composition semigroups and an application to the linear von Foerster-Lasota equation ⋮ Chaotic \(C_0\)-semigroups induced by semiflows in Lebesgue and Sobolev spaces ⋮ A simple characterization of chaos for weighted composition $C_0$-semigroups on Lebesgue and Sobolev spaces ⋮ Stability for weighted composition \(C_0\)-semigroups on Lebesgue and Sobolev spaces

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• Hypercyclic, topologically mixing and chaotic semigroups on Banach spaces
• On the existence of chaotic and hypercyclic semigroups on Banach spaces
• Hypercyclic, mixing, and chaoticC₀-semigroups induced by semiflows
• On orbits of elements

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