序再生Hilbert空間上的算子論.pdf

1、In this report, we study the Hilbert spaces consisting of analytic functions. In chapter 2, we introduce a partial order relation over the analytic ringHol(D) and study the relation between the reproducing kernels an

2、d the order relation. The equivalence of subspaces to the whole space is also studied. Especially we proved that all finite codimensional invariant subspace are similar to the ordered reproducing Hilbert space. In c

3、hapter 3, we study reproduving Hilbert sapces over the complex plane. A sufficient condition is given to determine which spaces are ordered and there are examples to show the sharpness. Chapter 4 concerns with the r