因子Von Neumann代数上的可乘导子

Multiplicative derivations on factor Von Neumann algrbras

设M是作用在Hilbert空间H上的因子VonNeumann代数,若Φ:M→M满足Φ(AB)=Φ(A)B+AΦ(B)(A,B∈M),则Φ(A+B)=Φ(A)+Φ(B)。

Let M be a factor Von Neumann algebras acting on a Hilbert space H.In the paper,the additivity of multiplicative derivation of M will be proved.