SPECTRAL RADIUS PRESERVERS OF PRODUCTS OF MONNEGATIVE MATRICES

被引:5
作者
Clark, Sean [1 ]
Li, Chi-Kwong [1 ]
Rodman, Leiba [1 ]
机构
[1] Coll William & Mary, Dept Math, Williamsburg, VA 23187 USA
关键词
Preserver; spectral radius; Jordan triple product; nonnegative matrices;
D O I
10.15352/bjma/1240336297
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A characterization of nonlinear spectral radius preserving maps is obtained for the usual and triple products of nonnegative matrices.
引用
收藏
页码:107 / 120
页数:14
相关论文
共 14 条
[1]  
Berman A., 1994, CLASSICS APPL MATH, DOI [10.1016/C2013-0-10361-3, 10.1137/1.9781611971262, DOI 10.1137/1.9781611971262]
[2]   Mappings on matrices: Invariance of functional values of matrix products [J].
Chan, Jor-Ting ;
Li, Chi-Kwong ;
Sze, Nung-Sing .
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2006, 81 :165-184
[3]  
De Oliveira G, 2001, LINEAR MULTILINEAR A, V48, pI
[4]   Determinant preserving maps on matrix algebras [J].
Dolinar, G ;
Semrl, P .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2002, 348 (1-3) :189-192
[5]  
Horn R. A., 1986, Matrix analysis
[6]  
Li C., LINEAR ALGE IN PRESS
[7]   Maps preserving the nilpotency of products of operators [J].
Li, Chi-Kwong ;
Semrl, Peter ;
Sze, Nung-Sing .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2007, 424 (01) :222-239
[8]   Uniform algebra isomorphisms and peripheral multiplicativity [J].
Luttman, Aaron ;
Tonev, Thomas .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2007, 135 (11) :3589-3598
[9]  
Minc H., 1974, Linear Algebra and Its Applications, V9, P149, DOI 10.1016/0024-3795(74)90033-0
[10]  
MOLNAR L., 2007, SELECTED PRESERVER P