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
收藏
页码：433 / 464
页数：32
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