a-xy*的Moore-Penrose逆的表示的统一方法

杜法鹏, 薛以锋

doi:10.13371/j.cnki.chin.q.j.m.2014.03.017

数学季刊 >

2014 , Vol. 29 >Issue 3: 465 - 474

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2014.03.017

a-xy*的Moore-Penrose逆的表示的统一方法

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1. Department of Mathematics, School of mathematical and Physical Sciences Xuzhou Institute of Technology2. Department of Mathematics, East China Normal University

DU Fa-peng(1974-), male, native of Xuzhou, Jiangsu, an associate professor of Xuzhou Institute of Technology, Ph.D., engages in functional analysis application and operator algebra.

收稿日期: 2013-11-11

网络出版日期: 2020-11-30

基金资助

Supported by the NNSF of China(10771069)；

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Unified Approach to the Expression for the Moore-Penrose Inverse of a ¡ xy*

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1. Department of Mathematics, School of mathematical and Physical Sciences Xuzhou Institute of Technology2. Department of Mathematics, East China Normal University

DU Fa-peng(1974-), male, native of Xuzhou, Jiangsu, an associate professor of Xuzhou Institute of Technology, Ph.D., engages in functional analysis application and operator algebra.

Received date: 2013-11-11

Online published: 2020-11-30

Supported by

Supported by the NNSF of China(10771069)；

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摘要

Let A be an unital C*-algebra, a, x and y are elements in A. In this paper, we present a method how to calculate the Moore-Penrose inverse of a- xy*and investigate the expression for some new special cases of（a- xy*）.

关键词： C*-algebra; generalized inverse; Moore-Penrose inverse

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杜法鹏, 薛以锋 . a-xy*的Moore-Penrose逆的表示的统一方法[J]. 数学季刊, 2014 , 29(3) : 465 -474 . DOI: 10.13371/j.cnki.chin.q.j.m.2014.03.017

Abstract

Key words： C*-algebra; generalized inverse; Moore-Penrose inverse

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