摘要

Let B(H) be the algebra of all bounded linear operators on a complex Hilbert space H and A subset of B(H) be a von Neumann algebra with no central summands of type I-1. For A, B is an element of A, define by A center dot B = AB + BA* a new product of A and B. In this article, it is proved that a map Phi: A -> B(H) satisfies Phi (A center dot B center dot C)=Phi(A)center dot B center dot C+A cent