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广义Kato分解与Weyl型定理
Generalized Kato Decomposition and Weyl Type Theorems
【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.
【Abstract】 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;
【Key words】 Generalized Kato decomposition; Browder’s theorem; Weyl’s theorem;
【Key words】 Generalized Kato decomposition; Browder’s theorem; Weyl’s theorem;
【基金】 国家自然科学基金(11171066);福建省自然科学基金(2013J01003)~~
- 【文献出处】 数学物理学报 ,Acta Mathematica Scientia , 编辑部邮箱 ,2019年03期
- 【分类号】O177.2
- 【被引频次】2
- 【下载频次】22