Spectra of some block operator matrices and application to transport operators |
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| Authors: | Aref Jeribi Ines Walha |
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| Institution: | Département de Mathématiques, Université de Sfax, Faculté des Sciences de Sfax, Route de Soukra km 3.5, BP 1171, 3000 Sfax, Tunisia |
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| Abstract: | In this paper a new concept for a 3×3 block operator matrix is studied on a Banach space. It is shown that, under certain conditions, it defines a closable operator and its essential spectra are determined. Application to transport operators in L1-space is given. |
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| Keywords: | Matrix operators Essential spectra Fredholm perturbation Transport operator |
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