| Hilbert空间中算子广义逆的积分表示 |
| |
| 引用本文： | 钟金,刘晓冀.Hilbert空间中算子广义逆的积分表示[J].数学的实践与认识,2008,38(20). |
| |
| 作者姓名： | 钟金 刘晓冀 |
| |
| 基金项目： | 广西自治区科学基金
，
广西民族大学重大科研项目
|
| |
| 摘 要： | 利用算子矩阵分块的技巧,得到了Hilbert空间中算子的Moore-Penrose逆和Drazin逆的积分表示.给出了较为简洁的证明,同时将有限维的结论推广到无限维的情形.
|
| 关 键 词： | 算子 Moore-Penrose逆 Drazin逆 积分表示 |
Integral Representation of the Generalized Inverse of Hilbert Sapce Operators |
| |
| ZHONG Jin,LIU Xiao-ji.Integral Representation of the Generalized Inverse of Hilbert Sapce Operators[J].Mathematics in Practice and Theory,2008,38(20). |
| |
| Authors: | ZHONG Jin LIU Xiao-ji |
| |
| Abstract: | By using the technique of operator matrix blocks,the integral representations of Moore-Penrose inverse and Drazin inverse of Hilbert space operators are obtained,which gives a new proof and the results on finite dimensional are extended into infinite dimensional situations. |
| |
| Keywords: | operators Moore-Penrose inverse drazin inverse integral representation |
| 本文献已被 万方数据 等数据库收录！ |
