本文主要研究因子ＶｏｎＮｅｕｍａｎｎ代数中套子代数上的导子。证明了由因子ＶｏｎＮｅｕｍａａｎ代数中套子代数到紧算子的任何导子都是内导子。

In this paper derivations on nest subalgebras of factor Von Neumann alge- bras are discussed. It is proved that every derivation from nest subalgebras of factors Von Neumann algebras into Compact operators is inner,