论文标题
在$ n $ hypertractions和多变量加权班次的相似性上
On the $N$-hypercontractions and similarity of multivariable weighted shifts
论文作者
论文摘要
在\ cite {sh}中，A。L。Shields证明了一个众所周知的单方面加权转移操作员相似性的定理。通过将该定理的概括用于多变量的加权移动和全态束的曲率，我们为Cowen-Douglas类中的$ M $ TUPLASE提供了必要和充分的条件。我们还提出了通勤$ m $ $的必要条件 - 在权重序列方面，向后加权转移操作员是$ n $ n $合同的条件。
In \cite{SH}, A. L. Shields proved a well-known theorem for the similarity of unilateral weighted shift operators. By using the generalization of this theorem for multivariable weighted shifts and the curvature of holomorphic bundles, we give a necessary and sufficient condition for the similarity of $m$-tuples in Cowen-Douglas class. We also present a necessary condition for commuting $m$-tuples of backward weighted shift operators to be $n$-hypercontractive in terms of the weight sequences.
