C^*代数上pseudo DMP逆的研究

The Study of the Pseudo DMP Inverse on C^*-Algebras

在条件a=abb^(1,3)、bc=ca,b^*c=ca*及ab=ba下研究pseudo DMP逆及dual pseudo DMP逆在C^*代数上特征及反序。同时,根据m-EP元素的定义与性质,探讨C^*代数上pseudo DMP逆、dual pseudo DMP逆和Moore-Penrose逆的关系。

In this paper,the characteristics and reverse order of the pseudo DMP inverse and dual pseudo DMP inverse on C*-algebra under some conditions,such as as a=abb^(1,3),bc=ca,b^*c=ca*and ab=ba was studied.At the same time,according to the definition and properties of m-EP element,the relationship between pseudo DMP inverse,dual pseudo DMP inverse and Moore-Penrose inverse on C^*algebra was discussed.