3 problems

The complex cross-2 distance conjecture. For every integer $n\geq 1$ and all $1\leq q\leq 2\leq p\leq\infty$,

For $n\geq 1$, let $\ell_1^n(\mathbb{C})$ and $\ell_{\infty}^n(\mathbb{C})$ denote the $n$-dimensional complex sequence spaces, and let $d_{BM}$ denote the Banach–Mazur distance be…

For each dimension $n$ and every $x\in\mathbb{R}^n$, define the average absolute inner product over the sign vectors $v_i\in\{-1,1\}^n$ by … The largest absolute constant $\alpha$…