Common hypercyclic vectors for families of operators

被引：10
|
作者：
Gallardo-Gutierrez, Eva A.
Partington, Jonathan R.
机构：
[1] Univ Zaragoza, Dept Matemat, IUMA, E-50009 Zaragoza, Spain
[2] Univ Leeds, Sch Math, Leeds LS2 9JT, W Yorkshire, England
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2008年 / 136卷 / 01期
关键词：
D O I：
10.1090/S0002-9939-07-09053-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页码：119 / 126
页数：8
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