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On The Range of Generalized Jordan *-derivation

On The Range of Generalized Jordan *-derivation

Let H be an infinite dimensional separable complex Hilbert space and let B(H) be the algebra of bounded liners operators in H.Let A,BB(H), the generalized Jordan *-derivations JA,B :B(H) B(H) is defined by:JA,B(X) =XA BX*,XB(H)In this paper we study some properties of the range of generalized Jordan *-derivations, which is …