attia, AsmaRapporteur: Nadir, Mostefa2022-07-132022-07-132022-06-10http://dspace.univ-msila.dz:8080//xmlui/handle/123456789/30270Let H be a complex Hilbert space, and let B(H) denote the set of all bounded linear operators on H. For A 2 B(H), we denote by A ;the adjoint of A, For an operator A 2 B(H); letjAj = (A A) 1 2 and jA j = (AA ) 1 2 : For 0 < n 1, A is said to be n-hyponormal if : jAj 2n jA j 2n : When n = 1 and n = 1 2 , A is said to be hyponormal , respectively. The main objective of this work is to give more informations on the basic properities of n-hyponormaloperatorsfrHilbert space, operator, hyponormal, n-hyponormal .Thesis