Chinese Quarterly Journal of Mathematics ›› 2014, Vol. 29 ›› Issue (3): 465-474.doi: 10.13371/j.cnki.chin.q.j.m.2014.03.017

Previous Articles    

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

  

  1. 1. Department of Mathematics, School of mathematical and Physical Sciences Xuzhou Institute of Technology2. Department of Mathematics, East China Normal University
  • Received:2013-11-11 Online:2014-09-30 Published:2020-11-30
  • About author: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.
  • Supported by:
    Supported by the NNSF of China(10771069);

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

CLC Number: