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

页码：1457 / 1466

页数：10

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