2026-07-18T13:56:12Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/505982024-07-12T13:48:13Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Gallardo Gutiérrez, Eva Antonia
author
Partington, Jonathan R.
2023-06-20T10:34:26Z
2023-06-20T10:34:26Z
2008
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
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.
eng
Common hypercyclic vectors for families of operators
journal article
URL
https://docta.ucm.es/bitstreams/b5b69b26-20e3-466b-848d-1ae96a018aeb/download
File
MD5
6c1d5a4418e3174f2aa6ca48b52d5fb7
177450
application/pdf
Gallardo10oficial.pdf