The representations of generalized inverses of lower triangular operators

被引：0

作者：

Shao, Chun Fang ^{[1
,2
]}

Du, Hong Ke ^{[1
]}

Ji, Shu Feng ^{[1
]}

Xu, Jun Lian ^{[1
]}

机构：

[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China

[2] Ankang Univ, Dept Math, Ankang 725000, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2009年 / 25卷 / 12期

基金：

中国国家自然科学基金;

关键词：

Moore-Penrose inverse; lower triangular operator matrix; Bott-Duffin inverse; BOTT-DUFFIN INVERSE; PERTURBATION-THEORY; DRAZIN INVERSE; HILBERT-SPACE; EXPRESSION; MATRICES;

D O I：

10.1007/s10114-009-7562-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note, the explicit representations of Moore-Penrose inverses of lower triangular operator matrices are established. As an application, the explicit representations of Bott-Duffin inverses of bounded linear operators on a Hilbert space with respect to a closed subspace are obtained.

引用

页码：2107 / 2118

页数：12

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