Banach代数中Zhou逆加法性质及其应用  

Additive Properties of Zhou Inverses in Banach Algebras and Their Applications

作　　者：杨杰[1] 刘大勇 陈焕艮 YANG Jie;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）》2022年第6期640-645,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)。

摘　　要：文章研究了Banach代数中Zhou逆的加法性质.设a,b∈A^(Z),如果有a^(2)ba=0,ab^(2)=0,则a+b∈A^(Z).将这些结果应用到算子矩阵上,进而获得了相关算子矩阵的Zhou可逆性刻画.In this paper, the additive properties of Zhou inverses in a Banach algebra were investigated. Let a,b∈A^(Z), if a^(2)ba=0,ab^(2)=0, then a+b∈A^(Z). Applying these results to the operator matrices, and the Zhou invertibility of certain operator matrices was obtained.

关 键 词：DRAZIN逆 Zhou逆 BANACH代数 幂零元 算子矩阵 

分 类 号：O153.3[理学—数学]