On preservers of pseudo spectrum of skew Jordan matrix products

被引：1
作者：
Bendaoud, M. [1 ]
Benyouness, A. [2 ]
Cade, A. [2 ]
Sarih, M. [2 ]
机构：
[1] Moulay Ismail Univ, Dept Math, ENSAM, BP 15290, Al Mansour, Meknes, Morocco
[2] Moulay Ismail Univ, Fac Sci, Dept Math, BP 11201, Zitoune, Meknes, Morocco
来源：
ACTA SCIENTIARUM MATHEMATICARUM | 2022年 / 88卷 / 3-4期
关键词：
pseudo spectrum; Jordan product of operators; nonlinear preservers; SEMI-TRIPLE PRODUCTS; FUNCTIONAL VALUES; LOCAL SPECTRUM; MAPS; MAPPINGS; RADIUS; PSEUDOSPECTRUM; OPERATORS;
D O I：
10.1007/s44146-022-00052-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let M-n be the space of n x n complex matrices, and for epsilon > 0 and A is an element of M-n, let sigma epsilon (A) denote the epsilon-pseudo spectrum of A. Maps Phi on M n which preserve the skew Jordan semi-triple product of matrices in a sense that sigma(epsilon) (Phi(A)Phi(B)* Phi(A)) = sigma(epsilon)(AB* A) (A,B is an element of M-n) are characterized, with no surjectivity assumption on them. Analogous description is obtained for the skew Jordan product on matrices, and its variant of infinite dimension is also noted.
引用
收藏
页码：787 / 796
页数：10
相关论文
共 50 条
  • [41] Preservers of unitary similarity functions on Lie products of matrices
    Cui, Jianlian
    Li, Chi-Kwong
    Poon, Yiu-Tung
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2016, 498 : 160 - 180
  • [42] PRESERVERS OF MATRIX PAIRS WITH A FIXED INNER PRODUCT VALUE
    Li, Chi-Kwong
    Plevnik, Lucijan
    Semrl, Peter
    OPERATORS AND MATRICES, 2012, 6 (03): : 433 - 464
  • [43] Maps Preserving Peripheral Spectrum of Generalized Jordan Products of Operators
    Zhang, Wen
    Hou, Jin Chuan
    Qi, Xiao Fei
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2015, 31 (06) : 953 - 972
  • [44] Local spectrum linear preservers at non-fixed vectors
    Costara, Constantin
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2014, 457 : 154 - 161
  • [45] Lie (Jordan) σ- centralizer at the zero products on generalized matrix algebra
    Raza, Mohd Arif
    Almehmadi, Huda Eid
    AIMS MATHEMATICS, 2024, 9 (10): : 26631 - 26648
  • [46] Maps preserving the local spectrum of skew-product of operators
    Abdelali, Z.
    Achchi, A.
    Marzouki, R.
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2015, 485 : 58 - 71
  • [47] Preservers of the local spectral radius zero of Jordan product of operators
    Elhodaibi, Mhamed
    Saber, Somaya
    TURKISH JOURNAL OF MATHEMATICS, 2021, 45 (02) : 1030 - 1039
  • [48] Maps preserving some spectral domains of skew products of operators
    Bouramdane, Y.
    Ech-Cherif El Kettani, M.
    LINEAR & MULTILINEAR ALGEBRA, 2022, 70 (21) : 6978 - 6988
  • [49] On the Characterization of Skew Jordan Derivations in -Rings
    Siddeeque, Mohammad Aslam
    Shikeh, Abbas Hussain
    IRANIAN JOURNAL OF SCIENCE, 2023, 47 (5-6) : 1605 - 1611
  • [50] Multiplicatively pseudo spectrum-preserving maps
    Abdelali, Zine El Abidine
    Nkhaylia, Hamid
    LINEAR AND MULTILINEAR ALGEBRA AND FUNCTION SPACES, 2020, 750 : 43 - 69
12345