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Your search keyword '"BENHARRAT, Mohammed"' showing total 13 results
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13 results on '"BENHARRAT, Mohammed"'

1. Some Sharp bounds for the generalized Davis-Wielandt radius

Author

Naimi, Mehdi, Benharrat, Mohammed, and Hireche, Faouzi

Subjects
Mathematics - Functional Analysis, Mathematics - Operator Algebras, 47A12, 47A30
Abstract

This paper presents a study of the generalized Davis-Wielandt radius of Hilbert space operators. New lower bounds for the generalized Davis-Wielandt radius and numerical radius are provided. An alternative of the triangular inequality for operators is also derived.

Published
2024

2. Fractional powers approach of maximal accretive operators for a class of third order abstract Cauchy problems

Author

Benharrat, Mohammed and Bezerra, Flank D. M.

Subjects
Mathematics - Analysis of PDEs, Mathematics - Functional Analysis, 34A08, 47D06, 47D03
Abstract

In this paper we explore the theory of fractional powers of maximal accretive operators to obtain results of existence, regularity and behavior asymptotic of solutions for linear abstract evolution equations of third order in time., Comment: 17 pages, 3 figures

Published
2023

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

Author

Bouchelaghem, Fairouz and Benharrat, Mohammed

Subjects
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)
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., Comment: arXiv admin note: substantial text overlap with arXiv:2007.14674

Published
2022

11. ON THE CIRCULAR NUMERICAL RANGE OF 5-BY-5 PARTIAL ISOMETRIES.

Author

BENHARRAT, Mohammed and NAIMI, Mehdi

Subjects
*MULTILINEAR algebra, *LOGICAL prediction
Abstract

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 partial affirmative answer of the Conjecture 5.1. of [H. l. Gau et al., Linear and Multilinear Algebra, 64 (1) 2016, 14-35.], for the five dimensional case. [ABSTRACT FROM AUTHOR]

Published
2023
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13. Harnack parts for some truncated shifts.

Author

Cassier, Gilles and Benharrat, Mohammed

Subjects
*FINITE, The
Abstract

The purpose of this paper is to analyse the Harnack part of some truncated shifts whose ρ-numerical radius equal one in the finite dimensional case. As pointed out in Theorem 2.17 of Cassier G, Benharrat M, Belmouhoub S [Harnack parts of ρ-contractions. J Oper Theory. 2018;80(2):453–480], a key point is to describe the null spaces of the ρ-operatorial kernel of these truncated shifts. We establish two fundamental results in this direction and some applications are also given. [ABSTRACT FROM AUTHOR]

Published
2022
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