Weyl type theorems and hypercyclic operators II

被引：2
|
作者：
Cao, Xiaohong [1 ]
机构：
[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2007年 / 135卷 / 06期
关键词：
a-Browder's theorem; a-Weyl's theorem; Weyl's theorem; Browder's theorem; hypercyclic operator;
D O I：
10.1090/S0002-9939-06-08665-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this note, the relation between hypercyclic operator matrices ( or supercyclic operator matrices) and the operator matrices which satisfy Weyl type theorems is discussed. Also, using a variant of the essential approximate point spectrum, we give the necessary and sufficient conditions for A for which a-Browder's theorem or a-Weyl's theorem holds.
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页码：1701 / 1708
页数：8
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