摘要
线性算子的谱理论,特别是Hilbert空间上Browder定理和Weyl定理在紧摄动下的稳定性问题是目前研究的热点,本文利用拟幂零等价算子的定义及其之间的关系,研究了它们的Browder定理和Weyl定理在紧摄动下的稳定性,并得出它们的稳定性是等价的.
The spectral theory of linear operators,especially the stability problem of Browder＇s theorem and Weyl＇s theorem,is presently receiving much attention under compact perturbations in the Hilbert space is a hotspot of research.In this paper,using the property of quasinilpotent equivalent operators,we study the stability of the quasinilpotent equivalent operators of the Browder＇s theorem and Weyl＇s theorem under compact perturbations,and find that their stabilities are equivalent.
出处
《河南大学学报（自然科学版）》
CAS
2015年第3期266-268,共3页
Journal of Henan University:Natural Science
基金
河南省软科学研究项目(142400410924)
