斜投影乘积交换性的一些等价刻画

吉林大学学报(理学版) ›› 2022, Vol. 60 ›› Issue (4): 811-816.

斜投影乘积交换性的一些等价刻画

宋显花¹, 加羊杰²

1. 青海师范大学数学与统计学院, 西宁 810008; 2. 青海师范大学民族师范学院, 西宁 810008

收稿日期:2021-10-04 出版日期:2022-07-26 发布日期:2022-07-26
通讯作者: 宋显花 E-mail:songxianhua20@126.com

Some Equivalent Characterizations of Product Commutativity of Oblique Projectors

SONG Xianhua¹, JIA Yangjie²

1. College of Mathematics and Statistics, Qinghai Normal University, Xining 810008, China;
2. College of Nationalities Normal, Qinghai Normal University, Xining 810008, China

Received:2021-10-04 Online:2022-07-26 Published:2022-07-26

摘要/Abstract

摘要： 用算子矩阵分块技巧研究复Banach空间上两个斜投影乘积的交换性, 通过两个斜投影的和、差、积等几种代数组合的{1}-，{1,5}-，{2,5}-逆和群逆给出两个斜投影乘积可交换的等价刻画.

关键词: 斜投影, 群逆, 乘积交换性

Abstract: Products commutativity of two oblique projectors on a complex Banach space was studied by using operator matrices block technique. By using {1}-,{1,5}-,{2,5}-inverses and group inverses of some algebraic combinations, such as sum, difference and product of two oblique projectors, equivalent characterizations of product commutability of two oblique projectors were given.

Key words: oblique projector, group inverse, product commutativity

中图分类号:

O153.3

宋显花, 加羊杰. 斜投影乘积交换性的一些等价刻画[J]. 吉林大学学报(理学版), 2022, 60(4): 811-816.

SONG Xianhua, JIA Yangjie. Some Equivalent Characterizations of Product Commutativity of Oblique Projectors[J]. Journal of Jilin University Science Edition, 2022, 60(4): 811-816.