Residuality of Sets of Hypercyclic Operators

被引：1
|
作者：
Rodriguez-Martinez, Alejandro [1 ]
机构：
[1] Khalifa Univ Sci Technol & Res, Abu Dhabi, U Arab Emirates
来源：
INTEGRAL EQUATIONS AND OPERATOR THEORY | 2012年 / 72卷 / 03期
关键词：
Composition Volterra operators; supercyclic; hypercyclic; SPECTRAL THEORY;
D O I：
10.1007/s00020-011-1936-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove a criterion that guarantees that in a given class of operators the set of hypercyclic ones is residual. We also prove the existence of quasinilpotent Volterra composition operators, V-phi, such that both V-phi and V-phi(star) are supercyclic and both I + V-phi and I + V-phi(star) are hypercyclic.
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页码：301 / 308
页数：8
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