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Common hypercyclic vectors for families of operators

By E.A. Gallardo-Gutierrez and J.R. Partington

Abstract

We provide a criterion for the existence of a residual set of common hypercyclic vectors for an uncountable family of hypercyclic operators which is based on a previous one given by Costakis and Sambarino. As an application, we get common hypercyclic vectors for a particular family of hypercyclic scalar multiples of the adjoint of a multiplier in the Hardy space, generalizing recent results by Abakumov and Gordon and also Bayart. The criterion is applied to other specific families of operators

Publisher: American Mathematical Society
Year: 2008
OAI identifier: oai:eprints.whiterose.ac.uk:3660

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