Products of projections and self-adjoint operators

被引：4

作者：

Laura Arias, M. ^{[1
,2
]}

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

机构：

[1] Univ Buenos Aires, Fac Ingn, Dept Matemat, Buenos Aires, DF, Argentina

[2] Consejo Nacl Invest Cient & Tecn, Inst Argentina Matemat, Buenos Aires, DF, Argentina

[3] Univ Nacl Gen Sarmiento, Inst Ciencias, Buenos Aires, DF, Argentina

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2018年 / 555卷

关键词：

Orthogonal projections; Self-adjoint operators; Factorization of operators; EQUATIONS;

D O I：

10.1016/j.laa.2018.05.036

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let H be a Hilbert space and L(H) be the algebra of all bounded linear operators from H to H. Our goal in this article is to study the set P.L-h of operators in L(H) that can be factorized as the product of an orthogonal projection and a self-adjoint operator. We describe P.L-h and present optimal factorizations, in different senses, for an operator in this set. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：70 / 83

页数：14

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