2×2上三角算子矩阵的A-Weyl定理的稳定性  

Stability of A-Weyl's Theorem for 2×2 Upper Triangular Operator Matrices

作　　者：赵玲玲[1] 曹小红[2] ZHAO Lingling;CAO Xiaohong(Department of Fundamental Courses, Institute of Disaster Prevention, Sanhe 065201, Hebei Province , China;School of Mathematics and Information Science , Shaanxi Normal University, Xi ＇an 710119, China)

机构地区：[1]防灾科技学院基础教学部,河北三河065201 [2]陕西师范大学数学与信息科学学院,西安710119

出　　处：《吉林大学学报（理学版）》2018年第3期544-548,共5页Journal of Jilin University:Science Edition

基　　金：防灾科技学院教育研究与教学改革项目(批准号:JY2017B09);国家自然科学基金(批准号:11371012;11471200;11571213);中国地震局教师科研基金(批准号:20150111)

摘　　要：考虑Weyl型定理中的A-Browder定理和A-Weyl定理,利用拓扑一致降标法得到了:对任意的C∈B(H),算子M_C满足A-Browder定理和A-Weyl定理微小紧摄动新的等价条件和判定方法.We considered A-Browder＇s theorem and A-Weyl＇s theorem of Weyl theorem.By using the topological uniform descent method,we obtained a new equivalent condition and decision method for arbitrary C∈B（H）,operator MCsatisfying A-Browder＇s theorem and the A-Weyl＇s theorem under small compact perturbations.

关 键 词：A-Browder定理 A-Weyl定理 紧摄动 

分 类 号：O177.2[理学—数学]