关于递归生成加权移位算子正的2次亚正规

On Positively Quadratically Hyponormal of Recursively Generated Weighted Shits

对于递归生成的加权移位算子Wα(x,y):1/y,1/x,(1/a,1/b,1/c)∧,利用无穷维矩阵的正定性得到了其2-亚正规性和正的2次亚正规性,推广了已有的一些结论.

The 2-hyponormality and positively quadratically hyponormality of recursively generated weighted shift Wα（x,y） with α（x,y） ：1/y,1/x,（1/a,1/b,1/c）∧are considered by using the positivity of in finite dimension matrix,which extend some known results.