Spectral Inclusions for Quasi-Fredholm and Saphar Spectra for Integrated Semigroups

Hamid Boua; Mohammed Karmouni; Abdelaziz Tajmouati

doi:10.15446/recolma.v53n1.81044

Publicado

2019-01-01

Spectral Inclusions for Quasi-Fredholm and Saphar Spectra for Integrated Semigroups

Inclusiones espectrales para Quasi-Fredholm y espectro Saphar de semigrupos integrados

DOI:

https://doi.org/10.15446/recolma.v53n1.81044

Palabras clave:

Integrated Semigroup, Quasi-Fredholm Operator, Saphar Spectrum (en)
semigrupo integrado, operador cuasi-Fredholm, espectro de Saphar (es)

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Autores/as

Hamid Boua Mohammed First University - Multidisciplinary Faculty of Nador - Laboratory of Analysis, Geometry and Applications
Mohammed Karmouni Cadi Ayyad University - Multidisciplinary Faculty
Abdelaziz Tajmouati Sidi Mohamed Ben Abdellah University - Faculty of Sciences Dhar Al Mahraz - Laboratory of Mathematical Analysis and Applications

Resumen (en)
Resumen (es)

In this paper, we show a spectral inclusion of integrated semigroups for Saphar, essentially Saphar and quasi-Fredholm spectra.

En este trabajo mostramos inclusiones espectrales de semigrupos integrados para el espectro de Saphar, el espectro esencial de Saphar y el espectro cuasi-Fredholm.

Referencias

W. Arendt, Vector-valued Laplace transforms and Cauchy problems, Israel J. Math. 59 (1987), 327-352.

C. R. Day, Spectral mapping theorem for integrated semigroups, Semigroup Forum 47 (1993), no. 1, 359-372.

K. J. Engel and R. Nagel, One-Parameter Semigroups for Linear Evolution Equations, Graduate Texts in Mathematics, vol. 194, Springer-Verlag, New York, 2000.

J. P. Labrousse, Les opérateurs quasi-Fredholm: une généralisation des opérateurs semi-Fredholm, Rend. Circ. Math. Palermo 2 XXIX (1980), 161-258.

J. P. Labrousse, Inverses généralisés d'opérateurs non-bornés, Proc. Amer. Math. Soc. 115 (1992), 125-129.

M. Mbekhta and A. Ouahab, Opérateur s-régulier dans un espace de Banach et théorie spectrale, Acta Sci. Math. (Szeged) 59 (1994), 525-543.

V. Müller, Spectral Theory of Linear Operators and Spectral Systems in Banach Algebras, Oper. Theory Advances and Applications (2007).

A. Tajmouati, H. Boua, and M. Karmouni, Quasi-Fredholm, Saphar Spectra For C0 Semigroups Generators, Italian journal of pure and applied mathematics 36 (2016), 359-366.

H. R. Thieme, Integrated Semigroups and Integrated Solutions to Abstract Cauchy Problems, Journal of Mathematical Analysis and Applications 152 (1990), 416-447.

Cómo citar

APA

Boua, H., Karmouni, M. y Tajmouati, A. (2019). Spectral Inclusions for Quasi-Fredholm and Saphar Spectra for Integrated Semigroups. Revista Colombiana de Matemáticas, 53(1), 73–85. https://doi.org/10.15446/recolma.v53n1.81044

ACM

[1]

Boua, H., Karmouni, M. y Tajmouati, A. 2019. Spectral Inclusions for Quasi-Fredholm and Saphar Spectra for Integrated Semigroups. Revista Colombiana de Matemáticas. 53, 1 (ene. 2019), 73–85. DOI:https://doi.org/10.15446/recolma.v53n1.81044.

ACS

(1)

Boua, H.; Karmouni, M.; Tajmouati, A. Spectral Inclusions for Quasi-Fredholm and Saphar Spectra for Integrated Semigroups. rev.colomb.mat 2019, 53, 73-85.

ABNT

BOUA, H.; KARMOUNI, M.; TAJMOUATI, A. Spectral Inclusions for Quasi-Fredholm and Saphar Spectra for Integrated Semigroups. Revista Colombiana de Matemáticas, [S. l.], v. 53, n. 1, p. 73–85, 2019. DOI: 10.15446/recolma.v53n1.81044. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/81044. Acesso em: 5 ago. 2024.

Chicago

Boua, Hamid, Mohammed Karmouni, y Abdelaziz Tajmouati. 2019. «Spectral Inclusions for Quasi-Fredholm and Saphar Spectra for Integrated Semigroups». Revista Colombiana De Matemáticas 53 (1):73-85. https://doi.org/10.15446/recolma.v53n1.81044.

Harvard

Boua, H., Karmouni, M. y Tajmouati, A. (2019) «Spectral Inclusions for Quasi-Fredholm and Saphar Spectra for Integrated Semigroups», Revista Colombiana de Matemáticas, 53(1), pp. 73–85. doi: 10.15446/recolma.v53n1.81044.

IEEE

[1]

H. Boua, M. Karmouni, y A. Tajmouati, «Spectral Inclusions for Quasi-Fredholm and Saphar Spectra for Integrated Semigroups», rev.colomb.mat, vol. 53, n.º 1, pp. 73–85, ene. 2019.

MLA

Boua, H., M. Karmouni, y A. Tajmouati. «Spectral Inclusions for Quasi-Fredholm and Saphar Spectra for Integrated Semigroups». Revista Colombiana de Matemáticas, vol. 53, n.º 1, enero de 2019, pp. 73-85, doi:10.15446/recolma.v53n1.81044.

Turabian

Boua, Hamid, Mohammed Karmouni, y Abdelaziz Tajmouati. «Spectral Inclusions for Quasi-Fredholm and Saphar Spectra for Integrated Semigroups». Revista Colombiana de Matemáticas 53, no. 1 (enero 1, 2019): 73–85. Accedido agosto 5, 2024. https://revistas.unal.edu.co/index.php/recolma/article/view/81044.

Vancouver

1.

Boua H, Karmouni M, Tajmouati A. Spectral Inclusions for Quasi-Fredholm and Saphar Spectra for Integrated Semigroups. rev.colomb.mat [Internet]. 1 de enero de 2019 [citado 5 de agosto de 2024];53(1):73-85. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/81044