| 算子的第二类广义Bott Duffin逆 |
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| 引用本文： | 邵春芳.算子的第二类广义Bott Duffin逆[J].山东大学学报(理学版),2009,44(6):14-17. |
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| 作者姓名： | 邵春芳 |
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| 作者单位： | 安康学院数学系; |
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| 基金项目： | 国家自然科学基金资助项目(10871224);;院级专项科研基金资助项目(2008AKXY019) |
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| 摘 要： | 对矩阵的第二类广义Bott Duffin(B D)逆的概念进行推广, 利用算子的｛1｝ 逆定义无穷维Hilbert空间上有界线性算子A关于一个闭子空间L的第二类广义Bott Duffin逆,并运用Hilbert空间上算子分块的技巧分别讨论算子的第二类广义Bott Duffin逆的存在性、矩阵表示形式和相关性质。
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| 关 键 词： | 广义Bott Duffin逆 ｛1｝ 逆 Moore Penrose逆 算子分块 |
| 收稿时间： | 2008-12-24 |
The second kind of generalized Bott-Duffin inverse of operators |
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| SHAO Chun-fang.The second kind of generalized Bott-Duffin inverse of operators[J].Journal of Shandong University,2009,44(6):14-17. |
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| Authors: | SHAO Chun-fang |
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| Institution: | Department of Mathematics;Ankang University;Ankang 725000;Shannxi;China |
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| Abstract: | A new generalized Bott-Duffin(B-D) inverse,named the second kind of generalized Bott-Duffin inverse of bounded linear operator A on an infinite dimensional Hilbert space with respect to a closed subspace L,is defined by using {1}-inverse of operators,which is a generalization of the second kind of generalized Bott-Duffin inverse of matrices.Also,the existence,the representations and some properties of the second kind of generalized Bott-Duffin inverse are discussed by applying the technique of block operato... |
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| Keywords: | generalized Bott-Duffin inverse {1}-inverse Moore-Penrose inverse block operator |
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