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Approximation Theorems of Moore-Penrose Inverse by Outer Inverses

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【Author】 Qianglian Huang1,2, and Zheng Fang2 1 College of Mathematics, Yangzhou University, Yangzhou 225002, China. 2 Department of Mathematics, Nanjing University, Nanjing 210093, China.

【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.

【关键词】 Moore-Penrose inverse； outer inverse.；
【Key words】 Moore-Penrose inverse； outer inverse.；
【基金】 Project supported by the National Science Foundation of China (Grant No. 10571150 and No. 10271053).
  • 【文献出处】 Numerical Mathematics A Journal of Chinese Universities(English Series) ,高等学校计算数学学报(英文版) , 编辑部邮箱 ,2006年02期
  • 【分类号】O177.1
  • 【被引频次】5
  • 【下载频次】32
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