Geodesic
The Moore-Penrose inverse of accretive operators with application to quadratic operator pencils
Filomat, Tome 36 (2022) no. 7, p. 2475

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DOI

We establish some relationships between an m-accretive operator and its Moore-Penorse inverse. We derive some perturbation result 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.
DOI : 10.2298/FIL2207475B
Classification : 47A10, 47A56
Keywords: Moore-Penrose inverse, Accretive operators, Quadratic operator pencil, Perturbation, Semigroup of contractions 
Fairouz Bouchelaghem; Mohammed Benharrat. The Moore-Penrose inverse of accretive operators with application to quadratic operator pencils. Filomat, Tome 36 (2022) no. 7, p. 2475 . doi: 10.2298/FIL2207475B
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     title = {The {Moore-Penrose} inverse of accretive operators with application to quadratic operator pencils},
     journal = {Filomat},
     pages = {2475 },
     year = {2022},
     volume = {36},
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     doi = {10.2298/FIL2207475B},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2207475B/}
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