C^*代数上pseudo DMP逆的研究  

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

作　　者：付石琴 曹彦 FU Shiqin;CAO Yan(Jinshan College,Fujian Agriculture and Forestry University,Fuzhou 350007,China;Fujian Jiangxia University,Fuzhou 350007,China)

机构地区：[1]福建农林大学金山学院,福州350007 [2]福建江夏学院,福州350007

出　　处：《成都工业学院学报》2020年第3期47-50,共4页Journal of Chengdu Technological University

基　　金：福建省教育厅中青年教师教育科研项目(JT180844);福建省教育厅中青年教师教育科研项目(JAT170888)。

摘　　要：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.

关 键 词：Pseudo DMP逆 dual pseudo DMP逆 EP元素 C^*代数 

分 类 号：O151[理学—数学]