Maps preserving matrix pairs with zero Jordan product

被引：22

作者：

Fosner, A. ^{[1
]}

Kuzma, B. ^{[2
,3
]}

Kuzma, T. ^{[2
,3
]}

Sze, N. -S. ^{[4
]}

机构：

[1] Univ Primorska, Fac Management, SI-6104 Koper, Slovenia

[2] Univ Primorska, FAMNIT, SI-6000 Koper, Slovenia

[3] Inst Math Phys & Mech, Dept Math, SI-1000 Ljubljana, Slovenia

[4] Hong Kong Polytech Univ, Dept Appl Math, Hong Kong, Hong Kong, Peoples R China

来源：

LINEAR & MULTILINEAR ALGEBRA | 2011年 / 59卷 / 05期

关键词：

Hermitian matrix; symmetric matrix; Jordan product; general preserver; continuous map; SYMMETRY TRANSFORMATIONS; PROJECTIVE GEOMETRY; OPERATOR-ALGEBRAS; WIGNERS THEOREM; ADDITIVE MAPS; LINEAR-MAPS; RANK-ONE; SPACES; MAPPINGS; COMMUTATIVITY;

D O I：

10.1080/03081081003600463

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the maps on complex Hermitian and complex symmetric matrices which preserve zeros of a Jordan product.

引用

页码：507 / 529

页数：23

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