Additive mappings on symmetric matrices

被引:12
作者
Kuzma, B.
Orel, M.
机构
[1] IMFM, Ljubljana 1000, Slovenia
[2] Univ Primorska, Koper 6000, Slovenia
关键词
rank; additive preserver; symmetric matrix;
D O I
10.1016/j.laa.2006.02.010
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Additive mappings, which do not increase the minimal rank of symmetric matrices are classified in characteristic two or three. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码:277 / 291
页数:15
相关论文
共 19 条
[1]   Spectrum-preserving linear mappings between Banach algebras or Jordan-Banach algebras [J].
Aupetit, B .
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2000, 62 :917-924
[2]   Additive rank-one preserving mappings on triangular matrix algebras [J].
Bell, J ;
Sourour, AR .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2000, 312 (1-3) :13-33
[3]   Additive rank-one preserving surjections on symmetric matrix spaces [J].
Cao, CG ;
Zhang, X .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2003, 362 :145-151
[4]   Additive preservers of rank-additivity on matrix spaces [J].
Chooi, WL ;
Lim, MH .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2005, 402 :291-302
[5]   Additive maps on standard operator algebras preserving parts of the spectrum [J].
Cui, JL ;
Hou, JC .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 282 (01) :266-278
[6]  
FOSNER A, ADDITIVE MAPS MATRIX
[7]   Zero-product preserving additive maps on symmetric operator spaces and self-adjoint operator spaces [J].
Hou, JC ;
Zhao, LK .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2005, 399 :235-244
[8]  
HUANG WL, ADJACENCY PRESERVING
[9]  
Huang WL., 2004, AEQUATIONES MATH, V67, P132
[10]   Rank-one nonincreasing additive mappings on second symmetric product spaces [J].
Lim, MH .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2005, 402 :263-271