Weyl type theorem and hypercyclic operators

被引：9

作者：

Cao, Xiaohong ^{[1
]}

机构：

[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 323卷 / 01期

关键词：

a-Weyl's theorem; a-Browder's theorem; hypercyclic operator; supercyclic operator;

D O I：

10.1016/j.jmaa.2005.10.041

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using a variant of the essential approximate point spectrum, we give the necessary and sufficient conditions for T for which the a-Browder's theorem or the a-Weyl's theorem holds. Also, the relation between hypercyclic operators (or supercyclic operators) and the operators which satisfy Weyl type theorem is discussed. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：267 / 274

页数：8

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