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具有公共的零点特征投影的有界线性算子的表示

Representation of Bounded Linear Operators with Equal Spectral Projections at Zero
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摘要 该文给出了与给定的Drazin可逆的有界线性算子有公共的零点特征投影的全体有界线性算子的表示.作为应用,获得了一些关于闭值域EP算子的特征及其扰动的结果. In this paper, the authors give the representation of all Drazin invertible operator B which shares the spectral projections at 0 with a given Drazin invertible operator A. Meanwhile, some related results for EP operators with closed range are obtained.
作者 张云 陈冬君 叶永升
机构地区 淮北师范大学数学科学学院
出处 《数学物理学报（A辑）》 CSCD 北大核心 2011年第3期729-736,共8页 Acta Mathematica Scientia
基金 安徽省优秀青年人才基金(2011SQRL070) 安徽省教育厅自然科学研究计划(2006KJ256B) 淮北师范大学2009年度校青年科研项目(700277)资助
关键词 DRAZIN逆 谱投影 算子方程 Drazin inverse Spectral projection Equation of operator
分类号 O117.1 [理学—基础数学]
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参考文献8

  • 1Campbell S L. Recent Applications of Generalized Inverses. London: Pitman, 1982.
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二级参考文献13

  • 1Wei Y, Qiao S. The representation and approximation of the Drazin inverse if a linear operator in Hilbert space. Appl Math Comp, 2003, 138(1): 77-89
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共引文献4

数学物理学报（A辑）
2011年 第3期

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