| Banach代数元扰动后广义逆的存在性 |
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| 引用本文： | 方正.Banach代数元扰动后广义逆的存在性[J].江南大学学报(自然科学版),2007,6(5):625-626. |
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| 作者姓名： | 方正 |
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| 作者单位： | 江南大学,理学院,江苏,无锡,214122 |
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| 摘 要： | 文中讨论了Banach代数元扰动后广义逆的存在性问题.用线性算子广义逆的稳定性问题的方法,得到Banach代数元扰动后广义逆存在的充分必要条件以及稳定的一个充分条件.
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| 关 键 词： | Banach代数 广义逆 稳定性 充分必要条件 |
| 文章编号： | 1671-7147（2007）05-0625-02 |
| 收稿时间： | 2006-05-18 |
| 修稿时间： | 2006-07-19 |
On the Existence of Generalized Inverses for Elements of Banach Algebra under Perturbations |
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| FANG Zheng.On the Existence of Generalized Inverses for Elements of Banach Algebra under Perturbations[J].Journal of Southern Yangtze University:Natural Science Edition,2007,6(5):625-626. |
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| Authors: | FANG Zheng |
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| Institution: | School of Science, Jiangnan University, Wuxi 214122, China |
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| Abstract: | The paper addresses the existence problem of generalized inverses for elements of a Banach algebra under perturbations and derives a sufficient and necessary condition for the existence of generalized inverse.Moreover,the paper obtains a sufficient condition for the stability of generalized inverse under perturbations in the setting of Banach algebra. |
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| Keywords: | Banach algebra generalized inverse stability sufficient and necessary condition |
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