| Banach空间中Drazin逆的新扰动定理 |
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| 引用本文： | 刘英,杨晓丹. Banach空间中Drazin逆的新扰动定理[J]. 数学的实践与认识, 2011, 41(8) |
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| 作者姓名： | 刘英 杨晓丹 |
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| 作者单位： | 1. 哈尔滨师范大学恒星学院,黑龙江哈尔滨,150025
2. 装备指挥技术学院基础部,北京,101416 |
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| 摘 要： | 讨论Banach空间中有界线性算子的Drazin逆的扰动问题.利用Jiu Ding在2003年给出的广义Neumann引理,给出关于Drazin逆的一个新扰动定理,并给出误差估计,推广了文献中相应的扰动结果.
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| 关 键 词： | Banach空间 Drazin逆 扰动分析 误差估计 |
New Perturbation Theorem on Drazin Inverse of Linear Operator in Banach Spaces |
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| LIU Ying,YANG Xiao-dan. New Perturbation Theorem on Drazin Inverse of Linear Operator in Banach Spaces[J]. Mathematics in Practice and Theory, 2011, 41(8) |
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| Authors: | LIU Ying YANG Xiao-dan |
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| Affiliation: | LIU Ying~1,YANG Xiao-dan~2 (1.Star College of Harbin Normal University,150025 Harbin,China) (2.Academy of Equipment Command and Technology,101416 Beijing,China) |
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| Abstract: | In this paper,we discuss the perturbation problem on Drazin inverse of bounded linear operator in Banach spaces.By the generalized Neumann Lemma given by Jiu Ding in 2003,new perturbation theorem and error estimate is given in this paper,which extend the perturbation results in literature. |
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| Keywords: | banach space drazin inverse perturbation analysis error estimate |
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