Generalized Drazin-type spectra of Operator matrices

A. Tajmouati, M. Abkari, M. Karmouni

Resumen


In this paper, we investigate the limit points set of surjective and approximate point spectra of upper triangular operator matrices . We prove that σ*(MC) ∪ W=σ*(


Palabras clave


Surjective spectrum; approximate point spectrum; generalized Drazin spectrum; Single-valued extension property; operator matrices.

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Referencias


P. Aiena. Fredholm and Local Spectral Theory with Applications to Multipliers. Kluwer. Acad. Press, (2004).

C. Benhida, E. H. Zerouali, H. Zguitti. Spectra of upper triangular operator matrices, Proc. Am. Math. Soc. Vol 133, Num 10, pp. 3013-3020, (2005).

M. Houmidi, H. Zguitti, Propriétés spectrales locales d’une matrice carrée des opérateurs, Acta Math. Vietnam. 25, pp. 137-144, (2000).

K. B.Laursen, M. M. Neumann. An introduction to Local Spectral Theory in: London Mathematical Society Monograph, New series, Vol. 20, Clarendon Press, Oxford, (2000).

J. J. Koliha. A generalized Drazin inverse. Glasgow Math. J., 38 : pp. 367-81, (1996).

H. Zariouh, H. Zguitti. On pseudo B-Weyl operators and generalized drazin invertible for operator matrices, Linear and Multilinear Algebra, Vol 64, Issue 7, pp. 1245-1257, (2016).

E. H. Zerouali, H. Zguitti. Perturbation of spectra of operator matrices and local spectral theory, J. Math Anal Appl, 324: pp. 992-1005, (2006).

S. Zhang, H.Zhong, L. Lin. Generalized Drazin Spectrum of Operator Matrices, Appl. Math. J. Chinese Univ. 29 (2), pp. 162-170, (2014).

S. F. Zhang, H. J. Zhang, J. D. Wu. Spectra of upper-triangular operator matrices, Acta Math Sinica (in Chinese), 2011, 54: 41-60, (2011).


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