2×2上三角算子矩阵的AWeyl定理的稳定性

吉林大学学报(理学版)

2×2上三角算子矩阵的AWeyl定理的稳定性

赵玲玲¹, 曹小红²

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

收稿日期:2017-05-23 出版日期:2018-05-26 发布日期:2018-05-18
通讯作者: 曹小红 E-mail:xiaohongcao@snnu.edu.cn

Stability of AWeyl’s Theorem for 2×2 Upper Triangular Operator Matrices

ZHAO Lingling¹, CAO Xiaohong²

1. Department of Fundamental Courses, Institute of Disaster Prevention, Sanhe 065201, Hebei Province, China;2. School of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710119, China

Received:2017-05-23 Online:2018-05-26 Published:2018-05-18
Contact: CAO Xiaohong E-mail:xiaohongcao@snnu.edu.cn

摘要/Abstract

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.

关键词: 紧摄动, A-Browder定理, A-Weyl定理

Abstract: 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 M_C satisfying A-Browder’s theorem and the A-Weyl’s theorem under small compact perturbations.

Key words: A-Browder’s theorem, A-Weyl’s theorem, compact perturbation

中图分类号:

O177.2

赵玲玲, 曹小红. 2×2上三角算子矩阵的AWeyl定理的稳定性[J]. 吉林大学学报(理学版), 2018, 56(3): 544-548.

ZHAO Lingling1, CAO Xiaohong2. Stability of AWeyl’s Theorem for 2×2 Upper Triangular Operator Matrices[J]. Journal of Jilin University Science Edition, 2018, 56(3): 544-548.