Hilbert空间上线性算子广义逆A_(T,S)^((2))的积分表示  

Integral Representation of the Generalized Inverse A_(T,S)^((2)) of Hilbert Space Linear Operators

作　　者：张国万[1] 

机构地区：[1]兰州工业高等专科学校基础学科部,甘肃兰州730050

出　　处：《兰州工业高等专科学校学报》2009年第2期48-49,53,共3页Journal of Lanzhou Higher Polytechnical College

摘　　要：利用分块算子矩阵技巧,得到了Hilbert空间上有界线性算子A广义逆A(T2,)S的积分表示,把魏益民和Dragan S.Djordjevi'c教授在文献[1]对矩阵成立的结果推广到Hilbert空间算子的情形,从而解决了文献[1]末尾提出的公开性问题,同时完善和补充了钟金在文献[2,3]给出的相关结论.By using the technique of operator matrix blocks, the integral representation of the generalized inverses AT,S^（2） of Hilbert space operators are obtained, which answers the question of Y. M. wei and Dragan S. Djordjevic in [1] and the result on the matrix is extended into Hilbert space operator situations. And the related conclusion in Article [-2,3] by ZHONG Jin is improved and completed.

关 键 词：HILBERT空间 线性算子 广义逆A(T2 )S 积分表示 分块算子矩阵 

分 类 号：O151.21[理学—数学]