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

2021/09/19 by Bouchelaghem, Fairouz, Benharrat, Mohammed
#47A10 #47A56 #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.2109.09123

Abstract

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.

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