On the C-trace pseudospectrum in the matrix algebra
Keywords:
Pseudospectrum, condition pseudospectrum, trace pseudospectrum
Abstract
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 pseudospectrum.
References
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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).
Published
2019-12-29
How to Cite
Ammar, A., Jeribi, A., & Mahfoudhi, K. (2019). On the C-trace pseudospectrum in the matrix algebra. Divulgaciones Matemáticas, 20(2), 39-44. Retrieved from https://mail.produccioncientificaluz.org/index.php/divulgaciones/article/view/36629
Section
Research papers
