On the images of Jordan polynomials evaluated over symmetric matrices

被引：14

作者：

Ma, Alexander ^{[1
]}

Oliva, Jamie ^{[2
]}

机构：

[1] Bowdoin Coll, Brunswick, ME 04011 USA

[2] Muhlenberg Coll, Allentown, PA 18104 USA

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2016年 / 492卷

基金：

美国国家科学基金会;

关键词：

Multilinear Jordan polynomial; Symmetric matrices;

D O I：

10.1016/j.laa.2015.11.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the image of any degree-three multilinear Jordan polynomial evaluated over the Jordan algebras of real and complex symmetric matrices forms a vector space. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：13 / 25

页数：13

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