Geometric dilations and operator annuli
Geometric dilations and operator annuli
复制标题
几何膨胀和算子环
DOI：
10.1016/j.jfa.2023.110035
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发表时间：
2023
影响因子：
1.7
通讯作者：
Pascoe, James E.
中科院分区：
文献类型：
--
作者：
McCullough, Scott;Pascoe, James E.
0< r< 1.确定了由满足<$T <$，<$T− 1 <$≤ r− 1的可逆希尔伯特空间算子T组成的量子环Q A r的伸缩理论。证明技术涉及一个几何方法膨胀，适用于其他著名的膨胀定理。量子环的膨胀理论进行了比较，并与其他典型的算子环的膨胀理论。
Abstract Fix 0< r< 1. The dilation theory for the quantum annulus Q A r, consisting of those invertible Hilbert space operators T satisfying‖ T‖,‖ T− 1‖≤ r− 1, is determined. The proof technique involves a geometric approach to dilation that applies to other well known dilation theorems. The dilation theory for the quantum annulus is compared, and contrasted, with the dilation theory for other canonical operator annuli.