Gallardo Gutiérrez, Eva AntoniaPartington, Jonathan R.2023-06-202023-06-2020080002-993910.1090/S0002-9939-07-09053-3https://hdl.handle.net/20.500.14352/50598We 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.engjournal articlehttps//doi.org/10.1090/S0002-9939-07-09053-3http://www.ams.org/journals/proc/2008-136-01/S0002-9939-07-09053-3/S0002-9939-07-09053-3.pdfrestricted access517Unimodular point spectrumInvariantAnálisis matemático1202 Análisis y Análisis Funcional