Nonnegative Moore-Penrose inverses of gram operators

被引：11

作者：

Kurmayya, T. ^{[1
]}

Sivakumar, K. C. ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Math, Madras 600036, Tamil Nadu, India

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2007年 / 422卷 / 2-3期

关键词：

grain operator; Moore-Penrose inverse; obtuse cones;

D O I：

10.1016/j.laa.2006.11.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with necessary and sufficient conditions for the nonnegativity of Moore-Penrose inverses of Gram operators between real Hilbert spaces. These conditions include statements on acuteness (or obtuseness) of certain closed convex cones. The main result generalizes a well known result for inverses in the finite dimensional case over the nonnegative orthant to Moore-Penrose inverses in (possibly) infinite dimensional Hilbert spaces over any general closed convex cone. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：471 / 476

页数：6

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