3 problems

Let $f$ be a rational inner function on $\mathbb D^2$, and let $V=Z_p$ be an irreducible inner variety. Write $\deg_i(f)$ and $\deg_i(p)$ for the degrees in the variable $z_i$. Str…

Let $K$ be a compact space and let $A$ be a closed subalgebra of $C(K)$, with the Nevanlinna–Pick property represented by $A\in NP_{\infty}$. Nevanlinna–Pick norm conjecture for un…

Let $A$ be a commutative Banach algebra with the Nevanlinna–Pick property represented by $A\in NP_{\infty}$. Nevanlinna–Pick norm conjecture. If $A\in NP_{\infty}$, then $A$ is a…