Banach代数中两个元素之和广义Drazin逆的表示

吉林大学学报(理学版)

Banach代数中两个元素之和广义Drazin逆的表示

郭丽, 丁许一

北华大学数学与统计学院, 吉林吉林 132013

收稿日期:2017-06-29 出版日期:2017-11-26 发布日期:2017-11-29
通讯作者: 郭丽 E-mail:guomingli95@163.com

Representations for Generalized Drazin Inverses ofSum of Two Elements in Banach Algebra

GUO Li, DING Xuyi

School of Mathematics and Statistics, Beihua University, Jilin 132013, Jilin Province, China

Received:2017-06-29 Online:2017-11-26 Published:2017-11-29
Contact: GUO Li E-mail:guomingli95@163.com

摘要/Abstract

摘要： 利用Banach代数中的幂等系统考虑两个元素之和的广义Drazin逆, 给出了Banach代数中的两个元素a,b, 在b²a=a^πbabb^π, a²b=a^πabab^π的条件下其和a+b的广义Drazin逆的表达式.

关键词: Banach代数, 广义Drazin逆, 拟幂零元

Abstract: Using the system of idempotents in a Banach algebra, we considered the generalized Drazin inverse of the sum of two elements. For two elements a,b
 in a Banach algebra, we gave the expressions for the generalized Drazin inverse of the sum a+b under the condition that b²a=a^πbabb^π, a²b=a^πabab^π.

Key words: generalized Drazin inverse, Banach algebra, quasinilpotent element

中图分类号:

O151.21

郭丽, 丁许一. Banach代数中两个元素之和广义Drazin逆的表示[J]. 吉林大学学报(理学版), 2017, 55(06): 1465-1468.

GUO Li, DING Xuyi. Representations for Generalized Drazin Inverses ofSum of Two Elements in Banach Algebra[J]. Journal of Jilin University Science Edition, 2017, 55(06): 1465-1468.