| 2×2-上三角算子矩阵谱的Fredholm扰动 |
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| 引用本文： | 张世芳,钟怀杰,武俊德.2×2-上三角算子矩阵谱的Fredholm扰动[J].数学学报,2011(4). |
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| 作者姓名： | 张世芳 钟怀杰 武俊德 |
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| 作者单位： | 浙江大学数学系;福建师范大学数学与计算机科学学院; |
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| 基金项目： | 国家自然科学基金(10771034,10771191,10471124); 福建省自然科学基金(Z0511019,S0650009) |
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| 摘 要： | 设H和K是复无穷维可分Hilbert空间,A∈B(H),B∈B(K),C∈B(K,H)且M_C=(ACOB).本文给出了上三角算子矩阵M_C的Weyl谱、本性谱、谱、左谱、右谱、下半本性谱、下半Weyl谱和上半Weyl谱的Fredholm扰动的完全刻画.
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| 关 键 词： | Banach空间 上三角算子矩阵 谱 扰动 |
Fredholm Perturbation of Spectra of 2×2-Upper Triangular Matrices |
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| Shi Fang ZHANG.Fredholm Perturbation of Spectra of 2×2-Upper Triangular Matrices[J].Acta Mathematica Sinica,2011(4). |
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| Authors: | Shi Fang ZHANG |
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| Institution: | Shi Fang ZHANG Department of Mathematics,Zhejiang University,Hangzhou 310027,P.R.China,School of Mathematics and Computer Science,Fujian Normal University,Fuzhou 350007,Huai Jie ZHONG School of Mathematics and Computer Science,P.R.China Jun De WU Department of Mathematics |
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| Abstract: | Let H and K be complex infinite dimensional separable Hilbert spaces, A∈B(H),B∈B(K),C∈B(K,H) and M_C =(ACOB).In this paper,we characterize completely the Predholm perturbation for the Weyl spectrum,essential spectrum,spectrum, left spectrum,right spectrum,lower semi-Predholm spectrum,lower semi-Weyl spectrum and upper semi-Weyl spectrum of the upper triangular operator matrices M_C. |
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| Keywords: | Banach spaces upper-triangular operator matrices spectra perturbation |
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