Maps preserving matrices of extremal scrambling index

被引:1
|
作者
Guterman, A. E. [1 ,2 ]
Maksaev, A. M. [1 ,2 ]
机构
[1] Lomonosov Moscow State Univ Moscow, GSP 1, Moscow 119991, Russia
[2] Moscow Inst Phys & Technol, Dolgoprudnyi 141701, Russia
来源
SPECIAL MATRICES | 2018年 / 6卷 / 01期
基金
俄罗斯科学基金会;
关键词
scrambling index; directed graphs; nonnegative matrices;
D O I
10.1515/spma-2018-0014
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we characterize surjective linear maps on matrices over antinegative semirings that preserve the set of matrices with maximal or minimal positive values of the scrambling index.
引用
收藏
页码:166 / 179
页数:14
相关论文
共 50 条
  • [21] Continuous adjacency preserving maps on real matrices
    Rodman, L
    Semrl, P
    Sourour, AR
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2005, 48 (02): : 267 - 274
  • [22] On maps preserving square-zero matrices
    Chebotar, MA
    Ke, WF
    Lee, PH
    JOURNAL OF ALGEBRA, 2005, 289 (02) : 421 - 445
  • [23] Continuous maps preserving local spectra of matrices
    Costara, Constantin
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2016, 492 : 1 - 8
  • [24] SIMILARITY PRESERVING LINEAR-MAPS ON MATRICES
    HIAI, F
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1987, 97 : 127 - 139
  • [26] Multiplicatively spectrum preserving maps on rectangular matrices
    Abdelali, Zine El Abidine
    Aharmim, Bouchra
    LINEAR & MULTILINEAR ALGEBRA, 2021, 69 (16): : 3099 - 3111
  • [27] Linear maps preserving permutation and stochastic matrices
    Li, CK
    Tam, BS
    Tsing, NK
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2002, 341 : 5 - 22
  • [28] Monotone maps on matrices of index one
    Guterman A.E.
    Efimov M.A.
    Journal of Mathematical Sciences, 2013, 191 (1) : 36 - 51
  • [29] LINEAR MAPS PRESERVING INVERSES OF MATRICES OVER FIELDS
    Bu, Changjiang
    Wang, Danhong
    JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2005, 5 (03): : 547 - 559
  • [30] Additive maps preserving rank commutativity on triangular matrices
    Zhang, Yang
    Zheng, Baodong
    ADVANCES IN MATRIX THEORY AND APPLICATIONS, 2006, : 81 - 84