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On the C-trace pseudospectrum in the matrix algebra

  • Ammar, Aymen [1] ; Jeribi, Aref [1] ; mahfoudhi, Kamel [1]
    1. [1] University of Sfax

      University of Sfax

      Túnez

  • Localización: Divulgaciones matemáticas, ISSN-e 1315-2068, Vol. 20, Nº. 2, 2019 (Ejemplar dedicado a: Divulgaciones Matemáticas), págs. 39-44
  • Idioma: inglés
  • Texto completo no disponible (Saber más ...)
  • Resumen
    • In this paper we discuss theoretical properties of the C-trace pseudospectrum for anelement in the matrix algebra. We also make several observations on the C-trace pseu-dospectrum.

  • Referencias bibliográficas
    • A. Ammar, A. Jeribi and K. Mahfoudhi, A characterization of the essential approximation pseudospectrum on a Banach space, Filomath 31, (11),...
    • A. Ammar, A. Jeribi and K. Mahfoudhi, A characterization of the condition pseudospectrumon Banach space, Funct. Anal. Approx. Comput. 10 (2)...
    • A. Ammar, A. Jeribi and K. Mahfoudhi, The condition pseudospectrum subset and related results, J. Pseudo-Dier. Oper. Appl. (2018), 1{14.
    • A. Ammar, A. Jeribi and K. Mahfoudhi, Generalized trace pseudo-spectrum of matrix pencils, Cubo A Mathematical Journal 21, (02), (2019) 65-76.
    • A. Jeribi, Spectral theory and applications of linear operators and block operator matrices, Springer-Verlag, New-York, (2015).
    • R.A. Horn, C.R. Johnson, Topics in Matrix Analysis, Cambridge University Press, (1991).
    • L. N. Trefethen and M. Embree, Spectra and pseudospectra: The behavior of nonnormal matrices and operators. Prin. Univ. Press, Princeton and...

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