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

共 50 条

[21] Skew-product and peripheral local spectrum preservers
Chakir, Youssef
El Bouchibti, El Houcine
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2025, 43 : 10 - 10
[22] Lie product and local spectrum preservers
Abdelali, Z.
Bourhim, A.
Mabrouk, M.
LINEAR ALGEBRA AND ITS APPLICATIONS, 2018, 553 : 328 - 361
[23] Preservers of local spectra of operator products
Bendaoud, M.
Jabbar, M.
Sarih, M.
LINEAR & MULTILINEAR ALGEBRA, 2015, 63 (04) : 806 - 819
[24] Some unitary similarity invariant functional values preservers of matrix products
Bendaoud, M.
Benyouness, A.
ACTA SCIENTIARUM MATHEMATICARUM, 2024, : 247 - 265
[25] Maps preserving the pseudo spectrum of skew triple product of operators
Abdelali, Zine El Abidine
Nkhaylia, Hamid
LINEAR & MULTILINEAR ALGEBRA, 2019, 67 (11) : 2297 - 2306
[26] NONLINEAR MAPS PRESERVING CONDITION SPECTRUM OF JORDAN SKEW TRIPLE PRODUCT OF OPERATORS
Benbouziane, H.
Bouramdane, Y.
El Kettani, M. Ech-Cherif
Lahssaini, A.
OPERATORS AND MATRICES, 2018, 12 (04): : 933 - 942
[27] Condition Spectrum of Rank One Operators and Preservers of the Condition Spectrum of Skew Product of Operators
Abdelali, Zine El Abidine
Nkhaylia, Hamid
COMPLEX ANALYSIS AND OPERATOR THEORY, 2020, 14 (07)
[28] Jordan embeddings and linear rank preservers of structural matrix algebras
Gogic, Ilja
Tomasevic, Mateo
LINEAR ALGEBRA AND ITS APPLICATIONS, 2025, 707 : 1 - 48
[29] Preservers of Radial Unitary Similarity Functions on Jordan Semi-Triple Products of Self-Adjoint Operators
Xu, Qingsen
Hou, Jinchuan
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2019, 42 (05) : 2443 - 2452
[30] Preservers of local spectra of matrix sums
Bendaoud, Mohamed
LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 438 (05) : 2500 - 2507

← 1 2 3 4 5 →