数学杂志2016，Vol.36Issue(5)：1056-1066,11.
3×3阶上三角算子矩阵的点谱和剩余谱扰动
PERTURBATION OF THE POINT AND RESIDUAL SPECTRA OF 3 × 3 UPPER TRIANGULAR OPERATOR MATRICES
摘要
Abstract
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.关键词
算子矩阵/点谱/剩余谱/扰动Key words
operator matrix/point spectrum/residual spectrum/perturbation分类
数理科学引用本文复制引用
黄俊杰,吴秀峰,阿拉坦仓..3×3阶上三角算子矩阵的点谱和剩余谱扰动[J].数学杂志,2016,36(5):1056-1066,11.基金项目
国家自然科学基金资助(11461049 （）
11371185) （）
内蒙古自治区自然科学基金资助(2013JQ01) （2013JQ01）
