厄米矩阵约当积的条件谱和伪谱的保存子

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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