几何伸缩与算子环
Geometric Dilations and Operator Annuli
摘要：
固定1<R。确定了由可逆的希尔伯特空间算子T构成的量子环的伸缩理论，使得T及其逆算子的范数都至多为R。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。
英文摘要：
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.
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