Hilbert空间上线性算子广义逆A_(T,S)^(2)的满秩表示

Full-rank Representation of the Generalized Inverse A_(T,S)^(2) of Linear Operators in Hilbert Space

给出了Hilbert空间上有界线性算子A广义逆A_(T,S)^(2)的满秩表示,这样Dragan S.Djord-jevic教授在文献[1]中给出的两个结果成为本文主要结论的特殊情形.同时也给出了Hilbert空间常见有界线性算子广义逆A+,AD,A+M,N,Ag的满秩表示.

A full-rank representation of the generalized inverses AT,S（2） for a bounded operatornas is given.The two given results of Dragan S. Djordjevic professor in reference [1] has become the special form of the main result, and the full-rank representation of the generalized inverses A＋,AD,AM,N＋,Ag are alsoderived.