Moore-Penrose inverse and partial orders on Hilbert space operators

被引：5

作者：

Fongi, Guillermina ^{[1
]}

Gonzalez, M. Celeste ^{[2
,3
]}

机构：

[1] CIFASIS CONICET, Ctr Franco Argentino Ciencias Informac & Sistemas, Ocampo & Esmeralda, RA-2000 Rosario, Argentina

[2] IAM CONICET, Inst Argentino Matemat Alberto P Calderon, Saavedra 15,Piso 3, RA-1083 Buenos Aires, Argentina

[3] Univ Nacl Gen Sarmiento, Inst Ciencias, Los Polvorines, Argentina

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2023年 / 674卷

关键词：

Moore-Penrose inverse; Operator orders; Reverse order law; GENERALIZED INVERSES; RANGE; PROJECTIONS;

D O I：

10.1016/j.laa.2023.05.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we explore several aspects concerning to the Moore-Penrose inverse of a bounded linear operator. On the one hand, we study monotonicity properties of the Moore -Penrose inverse with respect to the Lowner, star, minus, sharp and diamond orders. On the other hand, we analyze the validity of the reverse order law, B & DAG;A & DAG; = (AB)& DAG;, under hypothesis of operator ranges and also under hypothesis of operator orders. Finally, we study the operator B & DAG;A & DAG; as different weighted inverses of AB. & COPY; 2023 Elsevier Inc. All rights reserved.

引用

页码：1 / 20

页数：20

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