Weyl定理及其紧摄动  

Weyl’s theorem and its compact perturbations

作　　者：杨莉莉[1] 曹小红 YANG Lili;CAO Xiaohong(School of Mathematics and Statistics,Shaanxi Normal University,710119,Xi’an,Shaanxi,PRC)

机构地区：[1]陕西师范大学数学与统计学院,陕西省西安市710119

出　　处：《曲阜师范大学学报（自然科学版）》2022年第3期45-50,共6页Journal of Qufu Normal University(Natural Science)

基　　金：陕西师范大学中央高校基本科研业务费资助项目(GK202007002).

摘　　要：研究了一类具有特殊谱结构的有界线性算子的Weyl定理的紧摄动,同时还讨论了复对称算子的Weyl定理紧摄动.In this paper,the compact perturbations of Weyl’s theorem of a class of bounded linear operators with special spectrum structure is studied.In addition,the compact perturbations of Weyl’s theorem of the complex symmetric operators is discussed.

关 键 词：谱 WEYL定理 紧摄动 

分 类 号：O177.2[理学—数学]