2026-07-18T13:59:05Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/505982024-07-12T13:48:13Zcom_20.500.14352_14col_20.500.14352_15

Common hypercyclic vectors for families of operators Gallardo Gutiérrez, Eva Antonia Partington, Jonathan R. 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. 2023-06-20T10:34:26Z 2023-06-20T10:34:26Z 2008 journal article 0002-9939 10.1090/S0002-9939-07-09053-3 https://hdl.handle.net/20.500.14352/50598 https//doi.org/10.1090/S0002-9939-07-09053-3 http://www.ams.org/journals/proc/2008-136-01/S0002-9939-07-09053-3/S0002-9939-07-09053-3.pdf eng MTM2006-06431 DGA E-64 Scheme 4 grant restricted access American Mathematical Society