%0 Journal Article %A Gallardo GutiƩrrez, Eva Antonia %A Partington, Jonathan R. %T Common hypercyclic vectors for families of operators %D 2008 %@ 0002-9939 %U https://hdl.handle.net/20.500.14352/50598 %X 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. %~