On a characterization of the essential spectra of some matrix operators and application to two-group transport operators |
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Authors: | Salma Charfi and Aref Jeribi |
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Affiliation: | (1) Département de Mathématiques, Université de Sfax, Faculté des Sciences de Sfax, Route de Soukra Km 3.5, B.P. 1171, 3000 Sfax, Tunisia |
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Abstract: | In this paper, we investigate the essential approximate point spectrum and the essential defect spectrum of a 2 × 2 block operator matrix on a Banach space. Furthermore, we apply the obtained results to two-group transport operators in the Banach space L p ([−a, a] × [−1, 1]) × L p ([−a, a] × [−1, 1]), a > 0, p ≥ 1. |
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