Characterizing Model Spaces Among the Finite Dimensional RKHS with Pick Kernels

Abstract

We give several characterizations of those finite dimensional HSRK with complete Pick kernels which are model spaces. One characterization involves the size of the solution to a multiplier problem. Another involves having a conjugation operator which is compatible with the RKHS structure.

References in corpus (1)

• Tetrahedra in complex hyperbolic space and Hilbert spaces with Pick kernels