矩阵代数中一种新的谱方法:迹伪谱

IF 0.4 Q4 MATHEMATICS

Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-23 DOI:10.5269/bspm.48313

A. Ammar, A. Jeribi, K. Mahfoudhi

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引用次数: 0

摘要

我们研究了矩阵代数中元素的迹伪谱的概念。人们发现了痕量伪谱的许多有趣的新性质。此外，我们给出了矩阵代数中迹伪谱的谱映射定理的一个类比。除其他事项外，我们还通过大量示例说明了这些概念的适用性。

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A new spectral approach in the matrix algebra: trace pseudospectrum

We work with the notion of trace pseudospectra for an element in the matrix algebra. Many new interesting properties of the trace pseudospectrum have been discovered. In addition, we show an analogue of the spectral mapping theorem for trace pseudospectrum in the matrix algebra. Among other things, we illustrated the applicability of this concepts by a considerable number of examples.

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