Impacto
Downloads
Downloads per month over past year
Gallardo Gutiérrez, Eva A. and Partington, Jonathan R. (2008) Common hypercyclic vectors for families of operators. Proceedings of the American Mathematical Society, 136 (1). pp. 119-126. ISSN 0002-9939
![[thumbnail of Gallardo10oficial.pdf]](/style/images/fileicons/application_pdf.png) |
PDF
Restringido a Repository staff only 177kB |
Official URL: http://www.ams.org/journals/proc/2008-136-01/S0002-9939-07-09053-3/S0002-9939-07-09053-3.pdf
Abstract
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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Unimodular point spectrum; invariant |
| Subjects: | Sciences > Mathematics > Mathematical analysis |
| ID Code: | 21064 |
| Deposited On: | 25 Apr 2013 08:41 |
| Last Modified: | 10 Aug 2018 11:42 |
Origin of downloads
Repository Staff Only: item control page
