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

DU Fa-peng, XUE Yi-feng

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

Chinese Quarterly Journal of Mathematics >

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

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

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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Abstract

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*）.

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

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DU Fa-peng, XUE Yi-feng . Unified Approach to the Expression for the Moore-Penrose Inverse of a ¡ xy*[J]. Chinese Quarterly Journal of Mathematics, 2014 , 29(3) : 465 -474 . DOI: 10.13371/j.cnki.chin.q.j.m.2014.03.017

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