Linear Functions Preserving Multivariate and Directional Majorization

被引：7
|
作者：
Armandnejad, A. [1 ]
Afshin, H. R. [1 ]
机构：
[1] Vali E Asr Univ Rafsanjan, Dept Math, POB 7713936417, Rafsanjan, Iran
来源：
IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS | 2010年 / 5卷 / 01期
关键词：
Doubly stochastic matrices; Directional majorization; Multivariate majorization; Linear preserver;
D O I：
10.7508/ijmsi.2010.01.001
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let V and W be two real vector spaces and let similar to be a relation on both V and W. A linear function T : V -> W is said to be a linear preserver (respectively strong linear preserver) of similar to if Tx similar to Ty whenever x similar to y (respectively Tx similar to Ty if and only if x similar to y). In this paper we characterize all linear functions T : M-n,M- m -> M-n,M- k which preserve or strongly preserve multivariate and directional majorization.
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页码：1 / 5
页数：5
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