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.
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页码：1892 / 1905
页数：14
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