| Operator Matrix Forms of Positive Operators |
| |
| 作者姓名： | 杜鸿科 |
| |
| 作者单位： | Department of |
| |
| 基金项目： | The subject supported by NSF of China. |
| |
| 摘 要： | If a 3-tuple (A:H1→H1,B:H2→H1,C:H2→H2）of operators on Hibert spaces is given,we proved that the operator ～↑A:=(↑A ↓B^*↑B ↓C) on H=H1 H2 is ≥0 is and only if A≥0,R(B)∪→R（A^1/2) and C≥B^* A^ b,where A^ is the generalized inverse of A.In general,A^ is a closed operator,but since R(B)∪→R(A^1/2,B^* A^ B is bounded yet.
|
| 关 键 词： | 正算子 算子矩阵形式 Hilbert空间 有界线性算子 直和 广义逆 |
Operator Matrix Forms of Positive Operators |
| |
| Du Hongke.Operator Matrix Forms of Positive Operators[J].Chinese Quarterly Journal of Mathematics,1992,7(4):9-12. |
| |
| Authors: | Du Hongke |
| |
| Institution: | DepartmentofMathematics,ShansiNormalUniversity,Xian710062 |
| |
| Abstract: | |
| |
| Keywords: | positive operator range of operator |
| 本文献已被 CNKI 维普 等数据库收录！ |
