| Banach空间中算子广义Drazin逆的刻画及扰动 |
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| 引用本文： | 王桥,刘晓冀. Banach空间中算子广义Drazin逆的刻画及扰动[J]. 山东大学学报(理学版), 2008, 43(8): 42-45 |
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| 作者姓名： | 王桥 刘晓冀 |
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| 作者单位： | 广西民族大学数学与计算机科学学院,广西,南宁,530006;广西民族大学数学与计算机科学学院,广西,南宁,530006 |
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| 基金项目： | 广西自然科学基金，广西民族大学重大科研项目资助项目 |
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| 摘 要： | 研究了Banach空间中算子的广义Drazin逆,得到了广义Drazin逆的一些刻画,并对具有相同谱投影算子的扰动界进行了估计。
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| 关 键 词： | 算子 谱投影 广义Drazin逆 扰动 |
Characterization and perturbation of the generalized Drazin inverse for Banach space operators |
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| WANG Qiao,LIU Xiao-ji. Characterization and perturbation of the generalized Drazin inverse for Banach space operators[J]. Journal of Shandong University, 2008, 43(8): 42-45 |
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| Authors: | WANG Qiao LIU Xiao-ji |
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| Affiliation: | Department of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning 530006, Guangxi, China |
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| Abstract: | The generalized Drazin inverse of Banach space operators was studied. Some characterizations of the generalized Drazin inverse were obtained, and the perturbation bound of operators with equal spectral projection related to their generalized Drazin inverse was estimated. |
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| Keywords: | operators spectral projection generalized Drazin inverse perturbation |
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