PRESERVERS OF MATRIX PAIRS WITH A FIXED INNER PRODUCT VALUE

被引：9

作者：

Li, Chi-Kwong ^{[1
]}

Plevnik, Lucijan ^{[2
]}

Semrl, Peter ^{[3
]}

机构：

[1] Coll William & Mary, Dept Math, Williamsburg, VA 23187 USA

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

[3] Univ Ljubljana, Fac Math & Phys, SI-1000 Ljubljana, Slovenia

来源：

OPERATORS AND MATRICES | 2012年 / 6卷 / 03期

基金：

美国国家科学基金会;

关键词：

hermitian matrix; real symmetric matrix; projection; effect; trace; preserver; EIGENVALUE INCLUSION SETS; SPECTRAL-RADIUS; MAPPINGS; OPERATORS;

D O I：

10.7153/oam-06-29

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let y' be the set of n x n hermitian matrices, the set of n x n symmetric matrices, the set of all effects, or the set of all projections of rank one. Let c be a real number. We characterize bijective maps phi : y' -> y' satisfying tr (AB) = c double left right arrow tr (phi(A)phi(B)) = c with some additional restrictions on c, depending on the underlying set of matrices.

引用

页码：433 / 464

页数：32