OPERATOR MATRIX OF MOORE-PENROSE INVERSE OPERATORS ON HILBERT C* -MODULES

被引：13

作者：

Karizaki, Mehdi Mohammadzadeh ^{[1
]}

Hassani, Mahmoud ^{[1
]}

Amyari, Maryam ^{[1
]}

Khosravi, Maryam ^{[2
,3
]}

机构：

[1] Islamic Azad Univ, Mashhad Branch, Dept Math, Mashhad 91735, Iran

[2] Shahid Bahonar Univ Kerman, Fac Math & Comp Sci, Kerman, Iran

[3] TMRG, Mashhad 91775, Iran

来源：

COLLOQUIUM MATHEMATICUM | 2015年 / 140卷 / 02期

关键词：

Hilbert C* -module; Moore-Penrose inverse; closed range; idempotent operator;

D O I：

10.4064/cm140-2-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the Moore-Penrose inverse of an operator T is idempotent if and only if it is a product of two projections. Furthermore, if P and Q are two projections, we find a relation between the entries of the associated operator matrix of PQ and the entries of associated operator matrix of the Moore-Penrose inverse of PQ in a certain orthogonal decomposition of Hilbert C* -modules.

引用

页码：171 / 182

页数：12

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