Strong Linear Preservers of Dense Matrices

被引：1

作者：

Motlaghian, Sara M. ^{[1
]}

Armandnejad, Ali ^{[1
]}

Hall, Frank J. ^{[2
]}

机构：

[1] Vali E Asr Univ Rafsanjan, Dept Math, POB 7713936417, Rafsanjan, Iran

[2] Georgia State Univ, Dept Math & Stat, Atlanta, GA 30303 USA

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2018年 / 44卷 / 04期

关键词：

Strong linear preserver; Row-dense matrix; Dense matrix; MAJORIZATION; M-N; M-M;

D O I：

10.1007/s41980-018-0063-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let be the set of all real matrices. A matrix is said to be a dense matrix if there are no zeros between two nonzero entries for every line (row or column) of this matrix. In this paper, we find the structure of linear maps that strongly preserve dense matrices, i.e., T(A) is a dense matrix if and only if A is a dense matrix.

引用

页码：969 / 976

页数：8

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