Common hypercyclic functions for multiples of convolution and non-convolution operators

DOI10.1090/S0002-9939-09-09943-2zbMath1179.47008MaRDI QIDQ3642666

Luis Bernal-González

Publication date: 6 November 2009

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

zbMATH Keywords

entire functionBorel transformhypercyclic operatorlinear differential operatorcommon hypercyclic vector

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Linear composition operators (47B33) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (6)

Non-existence of common hypercyclic entire functions for certain families of translation operators ⋮ Reprint of: On spaceability of shift-like operators on \(L^p\) ⋮ On spaceability of shift-like operators on \(L^p\) ⋮ Existence of common and upper frequently hypercyclic subspaces ⋮ Common hypercyclic functions for translation operators with large gaps ⋮ Hypercyclicity of operators that \(\lambda\)-commute with the differentiation operator on the space of entire functions

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