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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. 517 Unimodular point spectrum Invariant Análisis matemático 1202 Análisis y Análisis Funcional 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. Plan Nacional I+D Gobierno de Aragon research group Analisis Matematico y Aplicaciones London Mathematical Society Depto. de Análisis Matemático y Matemática Aplicada Fac. de Ciencias Matemáticas TRUE pub 2023-06-20T10:34:26Z 2023-06-20T10:34:26Z 2008 journal article https://hdl.handle.net/20.500.14352/50598 0002-9939 10.1090/S0002-9939-07-09053-3 eng MTM2006-06431 DGA E-64 Scheme 4 grant restricted access application/pdf American Mathematical Society