The Moore-Penrose inverse of accretive operators with application to quadratic operator pencils

Autor:	Bouchelaghem, Fairouz, Benharrat, Mohammed
Rok vydání:	2022
Předmět:	Mathematics - Functional Analysis Mathematics - Spectral Theory 47A10 47A56 Astrophysics::High Energy Astrophysical Phenomena General Mathematics Mathematics - Operator Algebras FOS: Mathematics Operator Algebras (math.OA) Spectral Theory (math.SP) Functional Analysis (math.FA)
Zdroj:	Filomat. 36:2475-2491
ISSN:	2406-0933 0354-5180
DOI:	10.2298/fil2207475b
Popis:	We establish some relationships between an m-accretive operator and its Moore-Penorse inverse. We derive some perturbation result of the Moore-Penorse inverse of a maximal accretive operator. As an application we give a factorization theorem for a quadratic pencil of accretive operators. Also, we study a result of existence, uniqueness, and maximal regularity of the strict solution for complete abstract second order differential equation. Illustrative examples are also given. Comment: arXiv admin note: substantial text overlap with arXiv:2007.14674
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::530f11e77f2176e13e810c62f6c97a18 https://doi.org/10.2298/fil2207475b Zobrazit plný text záznamu