摘要
设H,K为Hilbert空间,L(H,K)为H到K的有界线性算子全体.设A∈L(H)=dL(H,H)及X,Y∈L(K,H)满足条件:R(A)闭,R(X)■R(A),R(Y)■R(A*).如果(A-XY*)+存在,则可以得到A-XY*的Moore-Pen-rose逆的表示.
Let K,H be Hilbert spaces and L（K,H） the set of all bounded linear operators from K to H.A∈L（H）=d L（H,H） with R（A） closed and X,Y∈L（K,H） with R（X）lohtain in R（A）,R（Y）lohtain in R（A^＊）.In this paper,the representation of Moore-Penrose inverse of A-XY^＊ is obtained if it exists.
出处
《徐州师范大学学报（自然科学版）》
CAS
2011年第2期12-14,共3页
Journal of Xuzhou Normal University(Natural Science Edition)
基金
Research supported by the National Natural Science Foundation of China(10771069)
Shanghai Leading Academic Discipline Project(B407)
