Sobre el pseudoespectro de C-traza en el álgebra matricial
Palabras clave:
Pseudoespectro, condición pseudoespectro, pseudoespectro de traza
Resumen
En este artı́culo discutimos las propiedades teóricas del pseudoespectro de C-traza para un elemento en el álgebra matricial. También hacemos varias observaciones sobre el pseudoespectro de C-trazas.
Citas
A. Ammar, A. Jeribi and K. Mahfoudhi, A characterization of the essential approximation pseudospectrum on a Banach space, Filomath 31, (11), 3599-3610 (2017).
A. Ammar, A. Jeribi and K. Mahfoudhi, A characterization of the condition pseudospectrum on Banach space, Funct. Anal. Approx. Comput. 10 (2) (2018), 13–21.
A. Ammar, A. Jeribi and K. Mahfoudhi, The condition pseudospectrum subset and related results, J. Pseudo-Differ. 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 Oxford, (2005).
A. Ammar, A. Jeribi and K. Mahfoudhi, A characterization of the condition pseudospectrum on Banach space, Funct. Anal. Approx. Comput. 10 (2) (2018), 13–21.
A. Ammar, A. Jeribi and K. Mahfoudhi, The condition pseudospectrum subset and related results, J. Pseudo-Differ. 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 Oxford, (2005).
Publicado
2019-12-29
Cómo citar
Ammar, A., Jeribi, A., & Mahfoudhi, K. (2019). Sobre el pseudoespectro de C-traza en el álgebra matricial. Divulgaciones Matemáticas, 20(2), 39-44. Recuperado a partir de https://produccioncientifica.luz.edu.ve/index.php/divulgaciones/article/view/36629
Sección
Artículos de Investigación
