关于几个有限生成性质

摘要：

在代数$\Cal A=\Cal L(PSL(2,\Bbb Z)\otimes B(H)=\Cal L(F_N)\otimes B(H)$，$N$有限中，存在有界次正规算子$Z$，使得$\Cal A$是集合${(Z^*)^n Z^m| n,m=0,1,2...}$的线性跨距的弱闭包.

英文摘要：

In the algebra $\Cal A=\Cal L(PSL(2,\Bbb Z)\otimes B(H)=\Cal L(F_N)\otimes B(H)$, $N$ finite, there exists a bounded subnormal operator $Z$, such that $\Cal A$ is the weak closure of linear span of the set ${(Z^*)^n Z^m| n,m=0,1,2...}$.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。