| Hilbert空间上线性算子广义逆AT,S（2）的满秩表示 |
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| 引用本文： | 张国万. Hilbert空间上线性算子广义逆AT,S（2）的满秩表示[J]. 兰州工业高等专科学校学报, 2010, 17(1): 7-9 |
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| 作者姓名： | 张国万 |
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| 作者单位： | 兰州工业高等专科学校基础学科部,甘肃,兰州,730050 |
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| 摘 要： | 摘要：给出了Hilbert空间上有界线性算子A广义逆AT,S（2）的满秩表示，这样DraganS．Djord—jevic教授在文献[1]中给出的两个结果成为本文主要结论的特殊情形．同时也给出了Hilbert空间常见有界线性算子广义逆A＋，AD，AM,N＋,Ag的满秩表示．
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| 关 键 词： | Hilbert空间 线性算子 广义逆AT,S（2） 满秩表示 分块算子矩阵 |
Full-rank Representation of the Generalized Inverse AT,S(2)of Linear Operators in Hilbert Space |
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| ZHANG Guo-wan. Full-rank Representation of the Generalized Inverse AT,S(2)of Linear Operators in Hilbert Space[J]. Journal of Lanzhou Higher Polytechnical College, 2010, 17(1): 7-9 |
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| Authors: | ZHANG Guo-wan |
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| Affiliation: | The Basic Courses Department of Lanzhou Polytechnic College/a>;Lanzhou 730050/a>;China |
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| Abstract: | A full-rank representation of the generalized inverses AT,S(2) for a bounded operatornas is given.The two given results of Dragan S.Djordjevic professor in reference[1] has become the special form of the main result,and the full-rank representation of the generalized inverses A+,AD,A+M,N,Ag are also derived. |
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| Keywords: | Hilbert space linear operator generalized inversesAT,S（2） full-rank representation~ block op-erator matrix |
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