Dépôt DSpace/Manakin

Parcourir Publications scientifiques par sujet "Closed operators"

Parcourir Publications scientifiques par sujet "Closed operators"

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  • New results on the closedness of the product and sum of closed linear operators 
    AZZOUZ, ABDELHALIM; MESSIRDI, BEKKAI; DJELLOULI, GHOUTI (Bull. Math. Anal. Appl, 2011-09-01)
    In this paper we give some topological conditions which ensure the closedness of the sum and product of two closed linear operators acting in a Hilbert space. We get also a general result on the formula of the adjoint (well ...
  • On Closed Range Operators in Hilbert Space 
    Messirdi, Bekkai; Ould-Ali, Mohand (International Journal of Algebra, 2010)
    Let C(H) be the set of all linear closed operators densely defined on a Hilbert space H. This paper is devoted to the study of the equivalent statements for which an operator A belongs to C(H) has a closed range.
  • Some stronger topologies for closed operators in Hilbert space 
    Djellouli, Ghouti; Messirdi, Sanaa; Messirdi, Bekkai (Int. J. Contemp. Math. Sciences, 2010)
    The purpose of this paper is to introduce some new metrics on the set C(H) of closed densely defined operators on a Hilbert space H and we characterize the closure of the subset of bounded elements of C(H) for these ...
  • Stability of almost closed operators on a Hilbert space 
    Messirdi, SANAA; Djaa, MUSTAPHA; Messirdi, BEKKAI (Sarajevo J. of Math, 2009)
    We introduce the notion of almost closed linear operators acting in a Hilbert space. This class of operators contains the set of all closed linear operators and is invariant under addition, composition and limits.

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