RT Journal Article
T1 Common hypercyclic vectors for families of operators
A1 Gallardo Gutiérrez, Eva Antonia
A1 Partington, Jonathan R.
AB 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.
PB American Mathematical Society
SN 0002-9939
YR 2008
FD 2008
LK https://hdl.handle.net/20.500.14352/50598
UL https://hdl.handle.net/20.500.14352/50598
LA eng
NO Plan Nacional I+D
NO Gobierno de Aragon research group Analisis Matematico y Aplicaciones
NO London Mathematical Society
DS Docta Complutense
RD 10 abr 2025