| Approximation Theorems of Moore-Penrose Inverse by Outer Inverses |
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| 作者姓名： | Qianglian Huang Zheng Fang |
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| 作者单位： | Qianglian Huang1，2，and Zheng Fang2 1 College of Mathematics，Yangzhou University，Yangzhou 225002，China. 2 Department of Mathematics，Nanjing University，Nanjing 210093，China. |
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| 摘 要： | 1 Introduction and preliminaries Let X and Y be two Hilbert spaces and T a bounded linear operator from X into Y . We use D(T ), N(T ) and R(T ), respectively, to denote the domain, null space and range of T . Recall that a linear operator T # : Y → X is…
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| 关 键 词： | 近似定理 希尔伯特空间 摩尔-彭罗斯逆 外逆 有界线性算子 可分值域 |
| 收稿时间： | 2004-05-09 |
| 修稿时间： | 2004-10-29 |
Approximation Theorems of Moore-Penrose Inverse by Outer Inverses |
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| Qianglian Huang Zheng Fang.Approximation Theorems of Moore-Penrose Inverse by Outer Inverses[J].Numerical Mathematics A Journal of Chinese Universities English Series,2006,15(2):113-119. |
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| Authors: | Qianglian Huang Zheng Fang |
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| Abstract: | Let X and Y be Hilbert spaces and T a bounded linear operator from X into Y with a separable range. In this note, we prove, without assuming the closeness of the range of T , that the Moore-Penrose inverse T of T can be approximated by its bounded outer inverses T n# with finite ranks. |
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| Keywords: | Moore-Penrose inverse outer inverse |
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