On the C-trace pseudospectrum in the matrix algebra
Resumen
In this paper we discuss theoretical properties of the C-trace pseudospectrum for an
element in the matrix algebra. We also make several observations on the C-trace pseu-dospectrum.
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 pseudospectrumon 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-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 Oxford, (2005).