Banach代数中反三角矩阵的p群逆  

The p-group Inverse of Anti-triangular Matrices in Banach Algebra

作　　者：周心悦 刘大勇 陈焕艮 ZHOU Xinyue;LIU Dayong;CHEN Huanyin(School of Mathematics,Hangzhou Normal University,Hangzhou 311121,China;College of Science,Central South University of Forestry and Technology,Changsha 410004,China)

机构地区：[1]杭州师范大学数学学院,浙江杭州311121 [2]中南林业科技大学理学院,湖南长沙410004

出　　处：《杭州师范大学学报（自然科学版）》2023年第1期76-81,共6页Journal of Hangzhou Normal University(Natural Science Edition)

基　　金：浙江省自然科学基金项目(LY21A010018);湖南省教育厅科研基金项目(21C0144)。

摘　　要：研究了几类反三角矩阵的p群可逆性,利用p群逆的定义对其进行验证,得到了这几类反三角矩阵p群逆的表示.并以这些矩阵为基础探究某些特殊矩阵p群逆的表示,根据两个积为0的p群可逆元素的和的p群逆公式,计算得到了结果.This study was concerned on the p-group inverses of several special anti-triangular matrices.The p-group inverses were verified by using its definition,and the p-group inverse of these classes of anti-triangular matrices was obtained.Based on these matrices,the expression of p-group inverse of certain special matrices was explored.According to the p-group inverse formula of the sum of two elements with the zero product,the results were calculated.

关 键 词：p群逆 p-Drazin逆 BANACH代数 分块矩阵 

分 类 号：O153.3[理学—数学]