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Cubo (Temuco)
versión On-line ISSN 0719-0646
Cubo vol.21 no.2 Temuco ago. 2019
http://dx.doi.org/10.4067/S0719-06462019000200065
Articles
Generalized trace pseudo-spectrum of matrix pencils
1University of Sfax, Department of Mathematics ,Faculty of Sciences of Sfax, Route de soukra Km 3.5, B.P. 1171, 3000, Sfax, Tunisia, ammar_aymen84@yahoo.fr
2 University of Sfax, Department of Mathematics ,Faculty of Sciences of Sfax, Route de soukra Km 3.5, B.P. 1171, 3000, Sfax, Tunisia, aref.Jeribi@fss.rnu.tn
3 University of Sfax, Department of Mathematics ,Faculty of Sciences of Sfax, Route de soukra Km 3.5, B.P. 1171, 3000, Sfax, Tunisia, kamelmahfoudhi72@yahoo.com
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.
Keywords and Phrases: pseudo-spectrum; condition pseudo-spectrum; trace pseudo-spectrum
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.
References
[1] A. Ammar , A. Jeribi and K. Mahfoudhi , A characterization of the essential approximation pseudospectrum on a Banach space, Filomath 31, (11), 3599-3610 (2017). [ Links ]
[2] 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. [ Links ]
[3] Ammar, A., Jeribi, A., Mahfoudhi, K., The essential condition pseudospectrum and related results, J. Pseudo-Differ. Oper. Appl., (2018) 1-14. [ Links ]
[4] Ammar, A., Jeribi, A., Mahfoudhi, K., The essential approximate pseudospectrum and related results, Filomat, 32, 6, (2018), 2139-2151. [ Links ]
[5] Ammar, A., Jeribi, A.,Mahfoudhi, K., A characterization of Browder’s essential approximation and his essential defect pseudospectrum on a Banach space, Extracta Math. ,34(1) (2019),29-40. [ Links ]
[6] A. Jeribi. Spectral theory and applications of linear operators and block operator matrices, Springer-Verlag, New-York, (2015). [ Links ]
[7] R. A. Horn, C. R. Johnson, Topics in Matrix Analysis, Cambridge University Press, (1991). [ Links ]
[8] Krishna Kumar. G, Determinant spectrum: A generalization of eigenvalues, Funct. Anal. Approx. Comput. 10 (2) (2018), 1-12. [ Links ]
[9] L. N. Trefethen and M. Embree, Spectra and pseudospectra: The behavior of nonnormal matrices and operators. Prin. Univ. Press, Princeton and Oxford, (2005) [ Links ]
This is an open-access article distributed under the terms of the Creative Commons Attribution License
