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

页码：787 / 796

页数：10

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