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In this paper we introduce the notion of the pair      ( A , B ) (A,B)       of operators having the Fuglede-Putnam property in a two-sided ideal of      L ( H ) L(H)      . The characterization of this class allows us to generalize the recent result of F. Kittaneh. We also give some applications of this result.

Une remarque sur l’orthogonalité de l’image au noyau d’une dérivation généralisée