3 problems

Let $n\ge 3$ and $m\ge 3$, let $\{v_1,\ldots,v_n\}\subset\mathbb{R}^{n-1}$ be the regular simplex frame, and let $T_{m,n}$ be the associated regular simplex tensor of order $m$. Th…

Universal state-inversion positivity conjecture. For every $C\in L(\mathscr{H})$ and every $v\in\\{0,1\\}^n$,

Let $\mathcal{B}=(b_{i_1\cdots i_m})$ be a tensor of order $m$ and dimension $n$. For $i,j\in N$ with $i\neq j$, suppose that … Here, $\mathcal{B}$ is a quasi-double $B_0$-tensor w…