巴拿赫代数里2×2阶反三角矩阵的伪Drazin逆

doi:10.6040/j.issn.1671-9352.0.2017.094

山东大学学报（理学版） ›› 2017, Vol. 52 ›› Issue (12): 58-66.doi: 10.6040/j.issn.1671-9352.0.2017.094

巴拿赫代数里2×2阶反三角矩阵的伪Drazin逆

孙晓青,王欣

西安理工大学理学院, 陕西西安 710054

收稿日期:2017-03-16 出版日期:2017-12-20 发布日期:2017-12-22
作者简介:孙晓青(1984— ),女,博士,讲师,研究方向为代数学.E-mail:sunxq102@163.com
基金资助:
国家自然科学基金青年科学基金资助项目(11601419);西安理工大学科学研究计划(2015CX009)

Pseudo Drazin inverse of 2×2 anti-triangular matrix in Banach algebras

SUN Xiao-qing, WANG Xin

School of Science, Xian University of Technology, Xian 710054, Shaanxi, China

Received:2017-03-16 Online:2017-12-20 Published:2017-12-22

摘要/Abstract

摘要： 研究2×2阶反三角矩阵M=(a db 0)的伪Drazin逆M^‡的计算,另外得到了三种特殊情况下求解M‡的方法。

关键词: 巴拿赫代数, 反三角矩阵, 伪Drazin逆, Drazin逆

Abstract: We give formulae for the pseudo Drazin inverse M^‡ of an 2×2 anti-triangular matrix M=(a db 0)under some conditions. Moreover, some particular cases of these results are also considered.

Key words: pseudo Drazin inverse, Drazin inverse, anti-triangular matrix, Banach algebra

中图分类号:

O151.2

孙晓青,王欣. 巴拿赫代数里2×2阶反三角矩阵的伪Drazin逆[J]. 山东大学学报（理学版）, 2017, 52(12): 58-66.

SUN Xiao-qing, WANG Xin. Pseudo Drazin inverse of 2×2 anti-triangular matrix in Banach algebras[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(12): 58-66.

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巴拿赫代数里2×2阶反三角矩阵的伪Drazin逆

Pseudo Drazin inverse of 2×2 anti-triangular matrix in Banach algebras

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