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math.FA2021
The Moore-Penrose inverse of accretive operators with application to quadratic operator pencils
Fairouz Bouchelaghem, Mohammed Benharrat
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 accretiv…
math.FA2021
On the circular numerical range of 5-by-5 partial isometries
Mehdi Naimi, Mohammed Benharrat
We prove, in some cases in term of kippenhahn curve, that if 5-by-5 partial isometry whose numerical range is a circular disc then its center is must be the origin. This gives a pa…