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
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