PARTIAL ISOMETRIES AND EP ELEMENTS IN RINGS WITH INVOLUTION

被引：0
|
作者：
Mosic, Dijana [1 ]
Djordjevic, Dragan S. [1 ]
机构：
[1] Univ Nis, Fac Sci & Math, Nish 18000, Serbia
来源：
ELECTRONIC JOURNAL OF LINEAR ALGEBRA | 2009年 / 18卷
关键词：
Partial isometry; Moore-Penrose inverse; Group inverse; EP elements; Star-dagger elements; Ring with involution;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
If R is a ring with involution, and a(dagger) is the Moore-Penrose inverse of a is an element of R, then the element a is called: EP, if aa(dagger) = a(dagger)a; partial isometry, if a(double dagger) = a(dagger); star-dagger, if a(double dagger)a(dagger) = a(dagger)a(double dagger). In this paper, characterizations of partial isometries, EP elements and star-dagger elements in rings with involution are given. Thus, some well-known results are extended to more general settings.
引用
收藏
页码：761 / 772
页数：12
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