Additive mappings on symmetric matrices

被引:12
|
作者
Kuzma, B.
Orel, M.
机构
[1] IMFM, Ljubljana 1000, Slovenia
[2] Univ Primorska, Koper 6000, Slovenia
关键词
rank; additive preserver; symmetric matrix;
D O I
10.1016/j.laa.2006.02.010
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Additive mappings, which do not increase the minimal rank of symmetric matrices are classified in characteristic two or three. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码:277 / 291
页数:15
相关论文
共 50 条
  • [41] Hypergroups of symmetric matrices
    Rackova, Pavlina
    AHA 2008: 10TH INTERNATIONAL CONGRESS-ALGEBRAIC HYPERSTRUCTURES AND APPLICATIONS, PROCEEDINGS, 2009, : 267 - 271
  • [42] ENUMERATION OF SYMMETRIC MATRICES
    GUPTA, H
    DUKE MATHEMATICAL JOURNAL, 1968, 35 (03) : 653 - &
  • [43] On Symmetric Weighing Matrices
    Georgiou, Stelios D. D.
    Stylianou, Stella
    Alrweili, Hleil
    MATHEMATICS, 2023, 11 (09)
  • [44] Properties of symmetric matrices
    Lee, J
    Rim, KS
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 305 (01) : 219 - 226
  • [45] ON FAMILIES OF SYMMETRIC MATRICES
    Bruce, J. W.
    MOSCOW MATHEMATICAL JOURNAL, 2003, 3 (02) : 335 - 360
  • [46] Determinants Preserving Maps on the Spaces of Symmetric Matrices and Skew-Symmetric Matrices
    Sanguanwong, Ratsiri
    Rodtes, Kijti
    VIETNAM JOURNAL OF MATHEMATICS, 2024, 52 (01) : 129 - 137
  • [47] Determinants Preserving Maps on the Spaces of Symmetric Matrices and Skew-Symmetric Matrices
    Ratsiri Sanguanwong
    Kijti Rodtes
    Vietnam Journal of Mathematics, 2024, 52 : 129 - 137
  • [48] Toeplitz matrices are unitarily similar to symmetric matrices
    Chien, Mao-Ting
    Liu, Jianzhen
    Nakazato, Hiroshi
    Tam, Tin-Yau
    LINEAR & MULTILINEAR ALGEBRA, 2017, 65 (10): : 2131 - 2144
  • [49] Symmetric polynomials, Pascal matrices, and Stirling matrices
    Spivey, Michael Z.
    Zimmer, Andrew M.
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2008, 428 (04) : 1127 - 1134
  • [50] Centrosymmetric, and Symmetric and Hankel-Symmetric Matrices
    Brualdi, Richard A.
    Ma, Shi-Mei
    MATHEMATICS ACROSS CONTEMPORARY SCIENCES, 2017, 190 : 17 - 31