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Parcourir Publications scientifiques par auteur "Benharrat, Mohammed"

Parcourir Publications scientifiques par auteur "Benharrat, Mohammed"

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  • Generalized Kato linear relations 
    Benharrat, Mohammed; Alvarez, Teresa; Messirdi, Bekkai (Filomat, 2017-01-01)
    For a Banach space the notions of generalized Kato linear relation and the corresponding spectrum are introduced and studied. We show that the symmetric di erence between the generalized Kato spectrum and the Goldberg ...
  • Left and Right Generalized Drazin Invertibility of an Upper Triangular Operator Matrices with Application to Boundary Value Problems 
    Messirdi, Bekkai; Kouider, Miloud Hocine; Benharrat, Mohammed (International Journal of Analysis and Applications, 2019-01-06)
    When A∈ B (H) and B∈ B (K) are given, we denote by MC the operator on the Hilbert space H⊕ K of the form MC=(AC 0 B). In this paper we investigate the quasi-nilpotent part and the analytical core for the upper triangular ...
  • Left and right generalized Drazin invertible operators and Local spectral theory 
    Messirdi, Bekkai; Benharrat, Mohammed; Miloud Hocine, Kouider (arXiv preprint arXiv:1512.02623, 2015-12-08)
    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 ...
  • Linear boundary-value problems described by Drazin invertible operators 
    Messirdi, Bekkai; Khaldi, Nassima; Benharrat, Mohammed (Mathematical Notes, 2017-05-01)
    The main subject of this paper is the study of a general linear boundary-value problem with Drazin or right Drazin (respectively, left Drazin) invertible operators corresponding to initial boundary operators. The obtained ...
  • On the generalized Kato spectrum 
    Benharrat, Mohammed; Messirdi, Bekkai (Serdica Mathematical Journal, 2011)
    We show that the symmetric difference between the generalized Kato spectrum and the essential spectrum defined in [7] by sec(T) = {l О C ; R(lI-T) is not closed } is at most countable and we also give some relationship ...
  • On the Kato, semi-regular and essentially semi-regular spectra 
    Benharrat, Mohammed; Ammar, Aymen; Jeribi, Aref; Messirdi, Bekkai (Functional Analysis, Approximation and Computation, 2015-02-16)
    In this paper, we give some properties of the semi-regular, essentially semi-regular and the operators of Kato type on a Banach space. We also show that the essentially semi-regular spectrum of closed, densely defined ...
  • On the spectral boundary value problems and boundary approximate controllability of linear systems 
    Khaldi, Nassima; Benharrat, Mohammed; Messirdi, Bekkai (Rendiconti del Circolo Matematico di Palermo, 2014-04-01)
    The main subject of this paper is the study of a general spectral boundary value problems with right invertible (resp. left invertible) operators and corresponding initial boundary operators. The obtained results are ...
  • Quasi-Compact Perturbations of the Weyl Essential Spectrum and Application to Singular Transport Operators 
    Messirdi, Bekkai; Mebarki, Leila; Benharrat, Mohammed (International Journal of Analysis and Applications, 2015-11-27)
    This paper is devoted to the investigation of the stability of the Weyl essential spectrum of closed densely dened linear operator A subjected to additive perturbation K such that (lambda-AK)^{-1} K or K (lambda-AK)^{-1} ...
  • Quotient operators: new generation of linear operators 
    Gherbi, Abdellah; Messirdi, Bekkai; Benharrat, Mohammed (Funct. Anal. Approx. Comput, 2015)
    In this paper we attempt to investigate some algebraic and topological properties of quotient operators acting on Hilbert space, and to give a characterization of Fredholm quotient operator and its index.
  • Relationship between a variant of essential spectrum and the Kato essential spectrum 
    Messirdi, Bekkai; Benharrat, Mohammed (General Mathematics, 2012-10-01)
    JP Labrousse [8] studied and characterized in the case of Hilbert spaces, a relation between the Kato essential spectrum (essential quasi-Fredholm spectrum) and another essential spectrum defined by σec (T)= 1λ∈ C; R (λI-T) ...
  • Semi-Fredholm operators and pure contractions in Hilbert space 
    Benharrat, Mohammed; Messirdi, Bekkai (Rendiconti del Circolo Matematico di Palermo, 2013-08-01)
    In Kaufman (Proc Amer Math Soc 72: 531–534, 1978) proved that the function defined by maps the set $$\fancyscript{C}_{0}(H)$$ of all pure contractions one-to-one onto the set $$\fancyscript{C}(H)$$ of all closed and densely ...
  • Strong metrizability for closed operators and the semi-Fredholm operators between two Hilbert spaces 
    Benharrat, Mohammed; Messirdi, Bekkai (International Journal of Analysis and Applications, 2015-08-11)
    To be able to refine the completion of C (H1, H2), the of set all closed densely defined linear operators between two Hilbert spaces H1 and H2, we define in this paper some new strictly stronger metrics than the gap metric ...

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