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Common hypercyclic vectors for families of operators

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Gallardo Gutiérrez, Eva A. and Partington, Jonathan R. (2008) Common hypercyclic vectors for families of operators. Proceedings of the American Mathematical Society, 136 (1). pp. 119-126. ISSN 0002-9939

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Official URL: http://www.ams.org/journals/proc/2008-136-01/S0002-9939-07-09053-3/S0002-9939-07-09053-3.pdf


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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.


Item Type:Article
Uncontrolled Keywords:Unimodular point spectrum; invariant
Subjects:Sciences > Mathematics > Mathematical analysis
ID Code:21064
Deposited On:25 Apr 2013 08:41
Last Modified:10 Aug 2018 11:42

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