Banach代数上两个元素差的Drazin逆的表达

J4 ›› 2012, Vol. 47 ›› Issue (4): 89-93.

Banach代数上两个元素差的Drazin逆的表达

张苗¹,刘晓冀^1,2*

1.广西民族大学理学院, 广西南宁 530006;
2. 广西混杂计算与集成电路设计分析重点实验室, 广西南宁 530006

收稿日期:2011-09-23 出版日期:2012-04-20 发布日期:2012-06-28
通讯作者: 刘晓冀(1972- ),男,博士,教授,研究方向为矩阵的广义逆及其应用. Email: xiaojiliu72@yahoo.com.cn
作者简介:张苗(1986- ),女，硕士，研究方向为矩阵的广义逆及其应用.Email:zhangmiao19860508@163.com
基金资助:
国家自然科学基金资助项目(11061005);广西民族大学2011年研究生教育创新计划项目(gxunchx2011082);广西混杂计算与集成电路设计分析重点实验室开放课题(HCIC201103)

The representations of the Drazin inverse of differences of two elemen ts in Banach algebra

ZHANG Miao¹, LIU Xiao-ji^1,2

1. School Science, Guangxi University for Nationalities, Nanning 530006, Guangxi, China;
2. Guangxi Key Laboratory of Hybrid Computational and IC Design Analysis, Nanning 530006, Guangxi, China

Received:2011-09-23 Online:2012-04-20 Published:2012-06-28

摘要/Abstract

摘要：

利用Banach代数中元素分块矩阵形式给出了两个元素差的Drazin逆的表达式,进而推广了已有的相关结果。

关键词: Drazin 逆;Banach代数;幂零

Abstract:

By using the block matrix forms of the elements in Banach algebra, expressions of the Drazin inverse of difference of two elements are given. And then the related results are extended.

Key words: Drazin inverse; Banach algebra; nilpotent

张苗1,刘晓冀1,2*. Banach代数上两个元素差的Drazin逆的表达[J]. J4, 2012, 47(4): 89-93.

ZHANG Miao1, LIU Xiao-ji1,2*. The representations of the Drazin inverse of differences of two elemen ts in Banach algebra[J]. J4, 2012, 47(4): 89-93.

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