Perturbation theory, M-essential spectra of 2 x 2 operator matrices and application to transport operators

• Autorzy: Jeribi Aref , Moalla Nedra , Yengui Sonia

Identyfikatory

DOI

10.7862/rf.2021.3

• Języki publikacji: EN

Abstrakty

EN

In this article we give some results on perturbation theory of 2 x 2 block operator matrices on the product of Banach spaces. Furthermore, we investigate their M-essential spectra. Finally, we apply the obtained results to determine the M-essential spectra of two group transport operators with general boundary conditions in the Banach space Lp([-a, a] x [-1, 1]) x Lp([-a, a] x [-1, 1]), p ≥ 1 and a > 0.

Słowa kluczowe

EN

perturbation theory; operator matrices; essential spectrum; Fredholm perturbation; transport equation

PL

teoria perturbacji; macierz operatora; widma; perturbacja Fredholma; równanie transportu

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2021
• Tom: Vol. 44
• Strony: 35--55
• Opis fizyczny: Bibliogr. 27 poz.

Twórcy

autor

Jeribi Aref

• Département de Mathématiques, Faculté des sciences de Sfax, Route de Soukra, Km 3.5, BP 1171, 3000, Sfax, Tunisie

• https://orcid.org/0000-0001-6715-5996

autor

Moalla Nedra

• Département de Mathématiques, Faculté des sciences de Sfax, Route de Soukra, Km 3.5, BP 1171, 3000, Sfax, Tunisie

• https://orcid.org/0000-0002-1116-0953

autor

Yengui Sonia

• Département de Mathématiques, Faculté des sciences de Sfax, Route de Soukra, Km 3.5, BP 1171, 3000, Sfax, Tunisie

• https://orcid.org/0000-0002-4379-2752

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).