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.
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收藏
页码：599 / 617
页数：19
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