ON THE INTERSECTION OF THE SPECTRUM OF FREQUENTLY HYPERCYCLIC OPERATORS WITH THE UNIT CIRCLE

被引：0
|
作者：
Beise, Hans-Peter [1 ]
机构：
[1] Univ Trier, Fachbereich 4, D-54286 Trier, Germany
来源：
JOURNAL OF OPERATOR THEORY | 2014年 / 72卷 / 02期
关键词：
Linear dynamics; frequently hypercyclic operators; spectrum of operators; entire functions of exponential type;
D O I：
10.7900/jot.2013mar11.2001
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We exclude the existence of frequently hypercyclic operators that have a spectrum contained in the closed unit disc and that intersects the unit circle in only finitely many points under certain additional conditions. This extends a result of S. Shkarin, which states that the spectrum of a frequently hypercyclic operator cannot have isolated points.
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页码：329 / 342
页数：14
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