Hypercyclic and topologically mixing cosine functions on Banach spaces

DOI10.1090/S0002-9939-07-09036-3zbMath1137.47034OpenAlexW2086474835MaRDI QIDQ5431660

Antonio Bonilla, Pedro José Miana

Publication date: 20 December 2007

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-07-09036-3

zbMATH Keywords

hypercyclic operatorscosine functionstranslation groupstopologically mixing operators

Mathematics Subject Classification ID

Operator sine and cosine functions and higher-order Cauchy problems (47D09) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items

Dynamics of the solutions of the water hammer equations, Linear dynamics of semigroups generated by differential operators, Hypercyclicity and topologically mixing property for abstract time-fractional equations, Hypercyclicity and mixing for cosine operator functions generated by second order partial differential operators, Unnamed Item, Hypercyclic and topologically mixing properties of degenerate multi-term fractional differential equations, Chaos for Cosine Operator Functions Generated by Shifts, Hypercyclic and Topologically Mixing Properties of Certain Classes of Abstract Time-Fractional Equations, Disjoint topological transitivity for cosine operator functions on weighted Orlicz spaces, Topologically transitive sequence of cosine operators on Orlicz spaces, Hypercyclicity for a Class of Discrete Spatiotemporal Systems, Chaos for cosine operator functions on groups, Disjoint topological transitivity for cosine operator functions on groups, Linear dynamics of discrete cosine functions on solid Banach function spaces, Continuous Sequences with Frequency Independence Generated by Discrete Spatiotemporal Systems, Dynamics of weighted translations generated by group actions, Topological transitivity for cosine operator functions on groups

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