Positive and doubly stochastic maps, and majorization in Euclidean Jordan algebras

被引：14
|
作者：
Gowda, M. Seetharama [1 ]
机构：
[1] Univ Maryland, Dept Math & Stat, Baltimore, MD 21250 USA
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2017年 / 528卷
关键词：
Euclidean Jordan algebra; Positive map; Doubly stochastic map; Majorization; LINEAR TRANSFORMATIONS; THEOREM; MATRICES;
D O I：
10.1016/j.laa.2016.02.024
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A positive map between Euclidean Jordan algebras is a (symmetric cone) order preserving linear map. We show that the norm of such a map is attained at the unit element, thus obtaining an analog of the operator/matrix theoretic Russo Dye theorem. A doubly stochastic map between Euclidean Jordan algebras is a positive, unital, and trace preserving map. We relate such maps to Jordan algebra automorphisms and majorization. (C) 2016 Elsevier Inc. All rights reserved.
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页码：40 / 61
页数：22
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