论文标题
$（n+1）$ - hilbert $ c^*$ - 模块上的中心操作员
The $(n+1)$-centered operator on a Hilbert $C^*$-module
论文作者
论文摘要
令$ t $为Hilbert $ c^*$ - 模块上的可伴随运营商，这样$ t $具有极地分解$ t = ut | $。对于每个自然数量$ n $，$ t $称为$（n+1）$ - 中心操作员，如果$ t^k = u^k | t^k | $是极地分解，$ 1 \ le K \ le K \ le n+1 $。本文通过广义的Aluthge变换和广义的迭代Aluthge Transform启动了$（n+1）$中心操作员的研究。提供了一些新的（n+1）$中心操作员的新特征。
Let $T$ be an adjointable operator on a Hilbert $C^*$-module such that $T$ has the polar decomposition $T=UT|$. For each natural number $n$, $T$ is called an $(n+1)$-centered operator if $T^k=U^k|T^k|$ is the polar decomposition for $1\le k\le n+1$. This paper initiates the study of the $(n+1)$-centered operator via the generalized Aluthge transform and the generalized iterative Aluthge transform. Some new characterizations of the $(n+1)$-centered operator are provided.
