Essential spectra of some matrix operators and application to two-group transport operators with general boundary conditions |
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| Authors: | Nedra Moalla Mondher Damak |
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| Institution: | a Département de Mathématiques, Institut Préparatoire aux Etudes d'Ingénieur de Sfax, Route Menzel Chaker, Km 0.5, BP 805, 3018, Sfax, Tunisie
b Département de Mathématiques, Faculté des Sciences de Sfax, Route de Soukra, Km 3.5, BP 802, 3018, Sfax, Tunisie |
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| Abstract: | In this article we investigate the essential spectra of a 2×2 block operator matrix on a Banach space. Furthermore, we apply the obtained results to determine the essential spectra of two-group transport operators with general boundary conditions in the Banach space Lp(−a,a]×−1,1])×Lp(−a,a]×−1,1]), a>0. |
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| Keywords: | Matrix operators Essential spectra Fredholm perturbation Transport equation |
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