A generalization of the Craig-Sakamoto theorem to Euclidean Jordan algebras

被引：1
|
作者：
Tao, J. [1 ]
Wang, Guoqiang [2 ]
机构：
[1] Loyola Univ Maryland, Dept Math & Stat, Baltimore, MD 21210 USA
[2] Shanghai Univ Engn Sci, Coll Fundamental Studies, Shanghai 201620, Peoples R China
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2016年 / 493卷
基金：
中国国家自然科学基金;
关键词：
Euclidean Jordan algebra; Quadratic representation; Craig-Sakamoto theorem; LINEAR TRANSFORMATIONS; P-PROPERTIES; SIMPLE PROOF; INEQUALITIES;
D O I：
10.1016/j.laa.2015.11.039
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Letac and Massam [10] extended the Craig-Sakamoto theorem to Euclidean Jordan algebras. In this paper, we give another proof of this generalization by reformulating the result in terms of rank and determinant equalities and by proving the result in each of the simple Euclidean Jordan algebras. (C) 2015 Elsevier Inc. All rights reserved.
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页码：134 / 145
页数：12
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