摘要：
基于值域的稠密性和闭性,有界线性算子 T 的点谱和剩余谱可分别细分为σp,1(T ),σp,2(T )和σr,1(T ),σr,2(T )。设 H1, H2, H3为无穷维复可分 Hilbert 空间,给定A∈B(H1), B ∈B(H2), C ∈B(H3),结合分析方法与算子分块技巧给出了MD,E,F 的上述四种谱随D, E, F 扰动的完全描述。%The point and residual spectra of a bounded operator T are, respectively, split into σp,1(T ), σp,2(T ) and σr,1(T ), σr,2(T ), based on the denseness and closedness of its range. Let H1, H2, H3 be infinite dimensional complex separable Hilbert spaces. Given the operators A ∈ B(H1), B ∈ B(H2) and C ∈ B(H3), some complete characterizations on the perturbations of the previous four spectra for the partial operator matrix MD,E,F are given by means of the analysis method and block operator technique.
