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Common hypercyclic vectors for families of operators

Gallardo-Gutierrez, E.A. and Partington, J.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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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
Copyright, Publisher and Additional Information: © 2008 American Mathematical Society. This is an author produced version of a paper published in Proceedings of the American Mathematical Society . Uploaded in accordance with the publisher's self archiving policy.
Keywords: unimodular point spectrum, invariant
Institution: The University of Leeds
Academic Units: The University of Leeds > Faculty of Maths and Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds)
Depositing User: Repository Administrator York
Date Deposited: 28 Feb 2008 12:03
Last Modified: 04 Jun 2014 10:38
Published Version: http://dx.doi.org/10.1090/S0002-9939-07-09053-3
Status: Published
Publisher: American Mathematical Society
Refereed: Yes
Identification Number: 10.1090/S0002-9939-07-09053-3
URI: http://eprints.whiterose.ac.uk/id/eprint/3660

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