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

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