3 problems

Let $H^2(\mathbb{D}^2)$ be the Hardy space on the bidisk, and let $M$ be a submodule. Define … where $R_z$ and $R_w$ are multiplication by the coordinate functions on $M$. The subm…

Let $H^2(\mathbb D^2)$ be the Hardy space on the bidisk and let $M\subset H^2(\mathbb D^2)$ be a submodule. For each integer $k\geq 0$, let $\Sigma_k(M)$ denote the numerical invar…

Let $H^2(\mathbb{D}^2)$ be the Hardy space on the bidisk, and for a submodule $M$ define … where $R_z$ and $R_w$ are multiplication by the coordinate functions on $M$. Let…