三角代数上的Jordan内导子

Jordan inner derivations on triangular algebra

设U=Tri(A,M,B)是三角代数,引入三角代数U上的Jordan导子和内导子的概念,利用算子论的方法证明三角代数U上的Jordan导子是三角代数U上的内导子。从而推广了三角代数U上的Jordan导子的定义。

Suppose Uas a triangular algebra.In this paper,it was proved that the concept of Jordan derivations and inner derivation were introduced.By using of operator theory methods,Jordan derivation of triangle algebra was an innerderivation.The notion of Jordan derivations was genralized to a more general case.