厄米矩阵约当积的条件谱和伪谱的保存子

IF 0.6 4区数学 Q3 MATHEMATICS

Operators and Matrices Pub Date : 2023-01-01 DOI:10.7153/oam-2023-17-08

M. Bendaoud, A. Benyouness, A. Cade

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引用次数: 0

摘要

．让H n是n×n情结之真正的太空Hermitian matrices。完成描述，我们得到了一个留下假光谱半径或条件光谱半径的地图。美国应用程序,地图上H n那保存matrices之条件的频谱乔丹广告是classiﬁ艾德。数学科目classiﬁcation(2020年):47B49 47A10, 47A25。

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Preservers of condition spectra and pseudo spectra of Hermitian matrix Jordan products

. Let H n be the real space of n × n complex Hermitian matrices. Complete descriptions are given of the maps of H n leaving invariant the pseudo spectral radius or the condition spectral radius of Jordan product of matrices. As application, maps on H n that preserve the condition spectrum of Jordan product of matrices are classi ﬁ ed. Mathematics subject classi ﬁ cation (2020): 47B49, 47A10, 47A25.

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来源期刊

Operators and Matrices 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

7 months

期刊介绍： ''Operators and Matrices'' (''OaM'') aims towards developing a high standard international journal which will publish top quality research and expository papers in matrix and operator theory and their applications. The journal will publish mainly pure mathematics, but occasionally papers of a more applied nature could be accepted. ''OaM'' will also publish relevant book reviews. ''OaM'' is published quarterly, in March, June, September and December.