Properties of vector-valued submodules on the bidisk

Kelly Bickel, Constanze Liaw

In previous work, the authors studied the compressed shift operators $S_{z_1}$ and $S_{z_2}$ on two-variable model spaces $H^2({\mathbb{D}}^2)\ominus \theta H^2({\mathbb{D}}^2)$, where $\theta$ i…