Range projections and the Moore-Penrose inverse in rings with involution

被引：19

作者：

Koliha, J. J. ^{[1
]}

Rakocevic, V.

机构：

[1] Univ Melbourne, Dept Math & Stat, Parkville, Vic 3010, Australia

[2] Univ Nis, Fac Sci & Math, Nis 18000, Serbia

来源：

LINEAR & MULTILINEAR ALGEBRA | 2007年 / 55卷 / 02期

关键词：

C*-algebra; Moore-Penrose inverse; range projection; idempotent;

D O I：

10.1080/03081080500472954

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article we study the existence of range projections in rings with involution, relating it to the existence of the Moore - Penrose inverse. The results are applied to the solution of the equation xbx = x in rings with involution, extending the results of Greville for matrices. Simpler new proofs are given of the Moore - Penrose invertibility of regular elements in rings with involution, and of the Ljance's formula.

引用

页码：103 / 112

页数：10

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