2 problems

Let $x$ be an $n\times n$ matrix and let an $\mathfrak{S}_n$-trace immanant be an immanant $\mathrm{Imm}_{\theta}(x)$ with $\theta\in\mathcal{T}_n$. Let…

Let $x$ be an $n\times n$ matrix, let $\mathcal{T}_n$ denote the cone of $\mathfrak{S}_n$-trace immanants that are totally nonnegative (TNN), and let…