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

被引：15

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.

引用

页码：40 / 61

页数：22

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