On a reverse Heinz-Kato-Furuta inequality

被引：4

作者：

Bebiano, N. ^{[1
]}

Lemos, R. ^{[2
]}

da Providencia, J. ^{[3
]}

机构：

[1] Univ Coimbra, CMUC, Dept Math, Coimbra, Portugal

[2] Univ Aveiro, CIDMA, Dept Math, P-3800 Aveiro, Portugal

[3] Univ Coimbra, CFC, Dept Phys, Coimbra, Portugal

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2012年 / 437卷 / 07期

关键词：

Minkowski inner product; Reverse Schwarz inequality; Generalized polar decomposition; Reverse Heinz-Kato-Furuta inequality; Reverse determinant Hadamard theorem;

D O I：

10.1016/j.laa.2012.05.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the set up of Minkowski spaces, the Schwarz inequality holds with the reverse inequality sign. As a consequence, the same occurs with the triangle inequality. In this note, extensions of this indefinite version of the Schwarz inequality are presented. Namely, a reverse Heinz-Kato-Furuta inequality valid for timelike vectors is included and related inequalities that also hold with the reverse sign are investigated. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：1892 / 1905

页数：14

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