算子代数中C_p类算子的逼近

APPROXIMANTS OF C_p CLASS OPERATORS IN OPERATOR ALGEBRAS

若是由右（或左）半模Ｍ＿１的任意子集δ－弱闭生成的单位代数，则其中的迹类算子可由中的算子按范数来逼近；当是ＶｏｎＮｅｕｍａｎｎ代数时，对其中的Ｃ、（ｌ≤ｐ≤∞）类算子得到了相应的结果。

In thits paper.following results are proved:If、is a unital a-weakly closed algebra which is generated by arbitrary subset of a right(or left) sem-moudle M;.Then the trace class operators in can be approximated in the trace norm of the operators in When is a Von neumann algebra,the corresponding results forC(1≤P≤∞)class operators in,is optained.