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Revista Colombiana de Matemáticas
Print version ISSN 0034-7426
Rev.colomb.mat. vol.53 no.1 Bogotá Jan./June 2019
Original articles
Spectral Inclusions for Quasi-Fredholm and Saphar Spectra for Integrated Semigroups
Inclusiones espectrales para Quasi-Fredholm y espectro Saphar de semigrupos integrados
1 Mohammed First University, Nador, Morocco. Mohammed First University Multidisciplinary Faculty of Nador, Laboratory of Analysis, Geometry and Applications, Nador, Morocco. e-mail: hamid.boua@usmba.ac.ma
2 Cadi Ayyad University, Safi, Morocco. Cadi Ayyad University Multidisciplinary Faculty, Safi, Morocco. e-mail: med89karmouni@gmail.com
3 Sidi Mohamed Ben Abdellah University, Fez, Morocco. Sidi Mohamed Ben Abdellah University Faculty of Sciences Dhar Al Mahraz, Laboratory of Mathematical Analysis and Applications, Fez, Morocco e-mail: abdelaziz.tajmouati@usmba.ac.ma
In this paper, we show a spectral inclusion of integrated semigroups for Saphar, essentially Saphar and quasi-Fredholm spectra.
Key words and phrases: Integrated Semigroup; Quasi-Fredholm Operator; Saphar Spectrum
En este trabajo mostramos inclusiones espectrales de semigrupos integrados para el espectro de Saphar, el espectro esencial de Saphar y el espectro cuasi-Fredholm.
Palabras y frases clave: semigrupo integrado; operador cuasi-Fredholm; espectro de Saphar
Acknowledgements
The authors would like to express their thanks to the referee for a careful reading and valuable comments concerning this paper.
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Received: February 2018; Accepted: December 2018