The Representations of Generalized Inverses of Lower Triangular Operators

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.

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Bibliographic Details
Published in:Acta mathematica Sinica. English series 2009-12, Vol.25 (12), p.2107-2118
Main Authors: Shao, Chun Fang, Du, Hong Ke, Ji, Shu Feng, Xu, Jun Lian
Format: Article
Language:English
Subjects:
Applied mathematics
Hilbert space
Information science
Mathematics
Mathematics and Statistics
Matrix
Studies
Theorems
Vector space
三角算子
下三角矩阵
子空间
希尔伯特空间
摩尔定律
线性算子
经营者
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Description
Summary: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.
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-009-7562-4