The complete Pick property for pairs of kernels and Shimorin's factorization

Scott McCullough, Georgios Tsikalas

Let $({\mathcal{H}}_k,{\mathcal{H}}_{\ell })$ be a pair of Hilbert function spaces with kernels $k,\ell$. In a 2005 paper, Shimorin showed that a certain factorization condition on $(…