广义Kato分解与Weyl型定理  

Generalized Kato Decomposition and Weyl Type Theorems

作　　者：陈俐宏 苏维钢 Lihong Chen;Weigang Su(School of Mathematics and Information, Fujian Normal University, Fuzhou 350117)

机构地区：[1]福建师范大学数学与信息学院

出　　处：《数学物理学报（A辑）》2019年第3期417-422,共6页Acta Mathematica Scientia

基　　金：国家自然科学基金(11171066);福建省自然科学基金(2013J01003)~~

摘　　要：该文利用算子的广义Kato分解特征,从广义Kato谱的角度探讨了有界线性算子满足Browder定理和Weyl定理的充要条件.Using the character of generalized Kato decomposition, this paper discusses the sufficient and necessary conditions for which Browder's theorem and Weyl's theorem hold from the angle of generalized Kato spectrum for a bounded linear operator.

关 键 词：广义Kato分解 BROWDER定理 WEYL定理 

分 类 号：O177.2[理学—数学]