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arXiv · 2109.09123

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

Fairouz Bouchelaghem·Mohammed Benharrat
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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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Fairouz Bouchelaghem, Mohammed Benharrat. 2021-09-19. The Moore-Penrose inverse of accretive operators with application to quadratic operator pencils. https://arxiv.org/abs/2109.09123

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