Convolution operators supporting hypercyclic algebras

DOI10.1016/j.jmaa.2016.01.029zbMath1384.47002OpenAlexW2281336120MaRDI QIDQ313494

Juan Bès, J. Alberto Conejero, Dimitris Papathanasiou

Publication date: 12 September 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.01.029

zbMATH Keywords

convolution operatorshypercyclicityalgebrabilitydifferentiation operatorhypercyclic algebrashypercyclic subspacesMacLane operator

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Rings and algebras of continuous, differentiable or analytic functions (46E25) Cyclic vectors, hypercyclic and chaotic operators (47A16) Algebras of analytic functions of one complex variable (30H50)

Related Items

Hypercyclic algebras for convolution operators with long arithmetic progressions in their zero sets ⋮ Algebrable sets of hypercyclic vectors for convolution operators ⋮ Hypercyclic algebras for convolution and composition operators ⋮ Baire theorem and hypercyclic algebras ⋮ Hypercyclic algebras ⋮ Hypercyclic algebras for $D$-multiples of convolution operators ⋮ Hypercyclic algebras for convolution operators of unimodular constant term ⋮ Algebrability of the set of hypercyclic vectors for backward shift operators

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