主要给出了$\ast$-$A(n)$算子的一些性质:若$T$是$\ast$-$A(n)$算子, 则$T$有谱的连续性; 若$T$是$\ast$-$A(n)$算子,则$T$的近似点谱和联合近似点谱是相等的; 若$T$, $S$是$\ast$-$A(n)$算子,则$T$, $S$是Weyl算子当且仅当$TS$是Weyl算子.

In this paper, we give sme properties of ∗-A(n) operators. We prove that the spectrum is continuous on the class of all ∗-A(n) operators. And if T is a ∗-A(n) operator, then the approximate point spectrum and the joint approximate point spectrum of T are identical. Finally, we prove that if T , S are ∗-A(n) operators,
then T and S are Weyl if and only if TS is Weyl.