Zobrazeno 1 - 10
of 62
pro vyhledávání: '"BENHARRAT, Mohammed"'
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 i
Externí odkaz:
http://arxiv.org/abs/2410.19679
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 p
Comment: 17 p
Externí odkaz:
http://arxiv.org/abs/2305.02399
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 qu
Externí odkaz:
http://arxiv.org/abs/2109.09123
Autor:
Naimi, Mehdi, Benharrat, Mohammed
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.,
Externí odkaz:
http://arxiv.org/abs/2108.04459
Autor:
Benharrat, Mohammed
A new sufficient condition is given for the sum of linear m-accretive operator and accretive operator one in a Hilbert space to be m-accretive. As an application, an extended result to the operator-norm error bound estimate for the exponential Trotte
Externí odkaz:
http://arxiv.org/abs/2007.13361
Autor:
Cassier, Gilles, Benharrat, Mohammed
The purpose of this paper is to analysis the Harnack part of some truncated shifts whose $\rho$-numerical radius equal one in the finite dimensional case. As pointed out in Theorem 1.17 [12], a key point is to describe the null spaces of the $\rho$-o
Externí odkaz:
http://arxiv.org/abs/1912.03913
Autor:
Benharrat, Mohammed
Publikováno v:
Commun. Korean Math. Soc. 35 (2020), No. 2, pp. 547-563
We define a left quotient as well as a right quotient of two bounded operators between Hilbert spaces, and we parametrize these two concepts using the Moore-Penrose inverse. In particular, we show that the adjoint of a left quotient is a right quotie
Externí odkaz:
http://arxiv.org/abs/1903.02280
The purpose of this paper is to describe the Harnack parts for the operators of class C $\rho$ ($\rho$ \textgreater{} 0) on Hilbert spaces which were introduced by B. Sz. Nagy and C. Foias in [25]. More precisely, we study Harnack parts of operators
Externí odkaz:
http://arxiv.org/abs/1612.05763
Autor:
Benharrat, Mohammed1 (AUTHOR) mohammed.benharrat@enp-oran.dz, Bouchelaghem, Fairouz2 (AUTHOR), Thorel, Alexandre3 (AUTHOR)
Publikováno v:
Semigroup Forum. Aug2023, Vol. 107 Issue 1, p17-39. 23p.
In this paper, we give some characterizations of the left and right generalized Drazin invertible bounded operators in Banach spaces by means of the single-valued extension property (SVEP). In particular, we show that a bounded operator is left (resp
Externí odkaz:
http://arxiv.org/abs/1512.02623