Volume 37, Issue 4 pp. 597-608
Research Article

Essential spectra of operator matrices and applications

Salma Charfi

Salma Charfi

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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Aref Jeribi

Corresponding Author

Aref Jeribi

Département de Mathématiques, Université de Sfax, Faculté des sciences de Sfax, Route de soukra Km 3.5, B. P 1171, 3000 Sfax, Tunisia

Correspondence to: Aref Jeribi, Département de Mathématiques, Université de Sfax, Faculté des sciences de Sfax, Route de soukra Km 3.5, B. P 1171, 3000, Sfax, Tunisia.

E-mail: [email protected]

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Rihab Moalla

Rihab Moalla

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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First published: 19 June 2013
Citations: 21

Abstract

The main goal of this paper is to give a characterization of Wolf, Schechter, and Browder essential spectra of (2 × 2) matrix operator on a Banach space. Furthermore, we apply the obtained results to transport equations. Copyright © 2013 John Wiley & Sons, Ltd.

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