论文标题
几何扩张和操作员Annuli
Geometric Dilations and Operator Annuli
论文作者
论文摘要
修复1 <r。量子环的扩张理论由那些可逆的希尔伯特空间操作员T组成，使得t及其逆的规范最多都是r。证明技术涉及一种适用于其他众所周知的扩张定理的几何方法。将量子环的扩张理论比较并与其他规范操作员环的扩张理论进行了比较。
Fix 1<R. The dilation theory for the quantum annulus, consisting of those invertible Hilbert space operators T such that the norm of T and its inverse are both at most R 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.
