Generalized trace pseudo-spectrum of matrix pencils

• Autores: Aymen Ammar, Aref Jeribi, Kamel Mahfoudhi
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 21, Nº. 2, 2019, págs. 65-76
• Idioma: inglés
• DOI: 10.4067/S0719-06462019000200065
• Enlaces
  • Texto completo
• Resumen
  • español

    RESUMEN El objetivo de este estudio es investigar una nueva noción de pseudo-espectro traza generalizado para pinceles de matrices. En particular, demostramos variadas propiedades nuevas e interesantes del pseudo-espectro traza generalizado. Adicionalmente, mostramos un análogo del teorema espectral de aplicaciones para el pseudo-espectro traza generalizado en el álgebra de matrices.

  • English

    ABSTRACT The objective of the study was to investigate a new notion of generalized trace pseudo-spectrum for an matrix pencils. In particular, we prove many new interesting properties of the generalized trace pseudo-spectrum. In addition, we show an analogue of the spectral mapping theorem for the generalized trace pseudo-spectrum in the matrix algebra.

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