Additive maps on hermitian matrices

被引：10
作者：
Orel, M.
Kuzma, B.
机构：
[1] IMFM, Ljubljana 1000, Slovenia
[2] Univ Primorska, Koper 6000, Slovenia
来源：
LINEAR & MULTILINEAR ALGEBRA | 2007年 / 55卷 / 06期
关键词：
involution; symmetric element; hermitian matrix; rank; additive preserver;
D O I：
10.1080/03081080701265140
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Suppose K not equal GF(2(2)) is a field with proper involution and of arbitrary characteristic. Additive maps, which do not increase rank-one on hermitian matrices with entries from K are classified. The result is then used to classify additive maps that do not increase minimal rank on the set of symmetric elements, relative to general involution on a matrix algebra.
引用
收藏
页码：599 / 617
页数：19
相关论文
共 50 条
[21]   Adjacency Preserving Bijection Maps of Hermitian Matrices over any Division Ring with an Involution [J].
Li Ping HUANG School of MathematicsChangsha University of Science TechnologyChangsha PRChina .
ActaMathematicaSinica(EnglishSeries), 2007, 23 (01) :95-102
[22]   Classical adjoint commuting and determinant preserving linear maps on Kronecker products of Hermitian matrices [J].
Chooi, Wai Leong ;
Kwa, KiamHeong .
LINEAR & MULTILINEAR ALGEBRA, 2020, 68 (05) :869-885
[23]   Adjacency preserving bijection maps of hermitian matrices over any division ring with an involution [J].
Huang, Li Ping .
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2007, 23 (01) :95-102
[24]   Adjacency Preserving Bijection Maps of Hermitian Matrices over any Division Ring with an Involution [J].
Li Ping Huang .
Acta Mathematica Sinica, English Series, 2007, 23 :95-102
[25]   An inequality for Hermitian matrices [J].
Gasanov, Magomedyusuf .
INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2025, 20 (01) :191-193
[26]   Geometry of 2 x 2 hermitian matrices [J].
Huang, LP ;
Wan, ZX .
SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 2002, 45 (08) :1025-1037
[27]   Equalities and inequalities for inertias of Hermitian matrices with applications [J].
Tian, Yongge .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2010, 433 (01) :263-296
[28]   Adjacency preservers on invertible hermitian matrices I [J].
Orel, Marko .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2016, 499 :99-128
[29]   Additive mappings on symmetric matrices [J].
Kuzma, B. ;
Orel, M. .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2006, 418 (01) :277-291
[30]   Products of orthoprojectors and Hermitian matrices [J].
Ikramov K.D. .
Journal of Mathematical Sciences, 2012, 182 (6) :782-784
12345