Linear preservers of even majorization on Mn,m

被引：13
作者：
Soleymani, M. [1 ]
Armandnejad, A. [1 ]
机构：
[1] Vali E Asr Univ Rafsanjan, Dept Math, Rafsanjan, Iran
来源：
LINEAR & MULTILINEAR ALGEBRA | 2014年 / 62卷 / 11期
关键词：
even doubly stochastic matrix; even majorization; linear preserver; MATRICES;
D O I：
10.1080/03081087.2013.832487
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let M-n,M-m be the algebra of all n x m real matrices. An n x n real matrix A is even doubly stochastic if it is a convex combination of even permutation matrices. For A, B is an element of M-n,M-m, A is said to be even majorized by B ( written as A <(e) B), if there exists an even doubly stochastic matrix D such that A = DB. In this paper, the concept of even majorization is investigated and then the linear preservers and strong linear preservers of this concept are characterized on M-n,M-m.
引用
收藏
页码：1437 / 1449
页数：13
相关论文
共 50 条
  • [41] On linear preservers of permanental rank
    Guterman, A. E.
    Spiridonov, I. A.
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2024, 680 : 325 - 340
  • [42] Linear Preserves of Logarithm Majorization
    Mohammadhasani, A.
    Dehghanian, M.
    Sayyari, Y.
    JOURNAL OF MATHEMATICAL EXTENSION, 2023, 17 (07)
  • [43] Linear Preserves of Chain Majorization
    Afshin, H. R.
    Parizi, M. Naderi
    LOBACHEVSKII JOURNAL OF MATHEMATICS, 2011, 32 (04) : 334 - 336
  • [44] Minus partial order and linear preservers
    Burgos, M.
    Marquez-Garcia, A. C.
    Morales-Campoy, A.
    LINEAR & MULTILINEAR ALGEBRA, 2016, 64 (09) : 1814 - 1832
  • [45] The linear preservers of real diagonalizable matrices
    Rande, Bernard
    Pazzis, Clement de Seguins
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2011, 435 (06) : 1257 - 1266
  • [46] LOCAL LINEAR PRESERVERS OF MATRIX MAJORIZATIONS
    Mohammadhasani, Ahmad
    JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2021, 14 (02): : 231 - 242
  • [47] ON MULTIPLICATIVE (STRONG) LINEAR PRESERVERS OF MAJORIZATIONS
    Nadoshan, Mohammad Ali Hadian
    Armandnejad, Ali
    SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2016, 3 (02): : 91 - 106
  • [48] Tree Covers of Graphs and their Linear Preservers
    Beasley, LeRoy B.
    Journal of Combinatorial Mathematics and Combinatorial Computing, 2024, 122 : 149 - 155
  • [49] Linear preservers of polynomial numerical hulls of matrices
    Aghamollaei, Gh
    Marcoux, L. W.
    Radjavi, H.
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2019, 575 : 27 - 34
  • [50] Linear preservers of row-dense matrices
    Sara M. Motlaghian
    Ali Armandnejad
    Frank J. Hall
    Czechoslovak Mathematical Journal, 2016, 66 : 847 - 858
12345