Bergman位移与超等距膨胀

BERGMAN SHIFT AND SUPERISOMETRIC DILATION

证明了每一个算子是超等距可膨胀的充要条件是T≌P_Hs(sum from l=1 to f(?)M_l)|H,而H∈Lat(sum from l=1 to q(?)M_l),M_l是Bergman位移,l≤q≤∞。

We prove that T E L(H) is superisometrically dilatable if and only if T M, and H(E Lat, where Mt is Bergman shift.