2×2阶上三角算子矩阵的谱扰动

侯国林;阿拉坦仓

系统科学与数学 ›› 2006, Vol. 26 ›› Issue (3) : 257-263.

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PDF(291 KB)
系统科学与数学 ›› 2006, Vol. 26 ›› Issue (3) : 257-263. DOI: 10.12341/jssms09208
论文

2×2阶上三角算子矩阵的谱扰动

    侯国林,阿拉坦仓
作者信息 +

Perturbation Of Spectrums Of 2\Times2 Upper Triangular Operator Matrices

    Hou Guolin,Alatancang
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摘要

研究了 Hilbert 空间HK上的2×2阶上三角算子矩阵\mc 当A,B给定,C为任意有界线性算子时,对MC的点谱、剩余谱、连续谱的扰动分别给出了 描述.

Abstract

In this paper, we study the 2×2 upper triangular operator matrices such as Misplaced &. Given A and B, the perturbation's discriptions for point spectrum, residual spectrum and continuous spectrum of MC are presented, respectively, where C is an arbitrary bounded linear operator.

关键词

算子矩阵 / 点谱 / 剩余谱 / 连续谱 / 谱扰动

Key words

Operator matrices / point spectrum / residual spectrum / continuous spectrum / perturbation of spectrums

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侯国林 , 阿拉坦仓. 2×2阶上三角算子矩阵的谱扰动. 系统科学与数学, 2006, 26(3): 257-263. https://doi.org/10.12341/jssms09208
Hou Guolin , Alatancang. Perturbation Of Spectrums Of 2\Times2 Upper Triangular Operator Matrices. Journal of Systems Science and Mathematical Sciences, 2006, 26(3): 257-263 https://doi.org/10.12341/jssms09208
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