Abstract
Let H be a real or complex Hilbert space with dim(H) > 1, B(H) be algebra of all bounded linear operators on H and A(H) subset of B(H) be a standard operator algebra on H. If D : A(H) -> B(H) is a linear mapping satisfying D(An+1) = Pn i=0 AiD(A)(A*)n-i for all A is an element of A(H), then D is a Jordan *-derivation on A(H). Later, we discuss some algebraic identities on semiprime rings.