Generalized Doubly Stochastic Matrices and Linear Preservers of D-majorization

被引：0
|
作者：
Mohammadhasani, Ahmad [1 ]
机构：
[1] Sirjan Univ Technol, Dept Math & Comp Sci, Sirjan, Iran
来源：
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2019年 / 45卷 / 05期
关键词：
D-majorization; Generalized doubly stochastic matrix; Linear preserver;
D O I：
10.1007/s41980-019-00208-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
D-majorization is a group-induced cone ordering on R-n induced by group G = {cP : c is an element of {-1, 1}, P is an element of P(n)}, where P(n) is the set of all n-by-n permutationmatrices. For x, y is an element of R-n, x is said to be D-majorized by y (denoted by x <(D) y) if there exists some D is an element of Conv(G) such that x = Dy. In the present paper, the concept of D-majorization is studied and then the linear preservers of this concept are characterized.
引用
收藏
页码：1457 / 1466
页数：10
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