5 problems

Braverman–Makarychev–Makarychev–Naor conjecture. There exists $\eta>0$ such that $f_\eta$ and $g_\eta$ form a Krivine rounding scheme and

Let $\mathcal{E}=(E_n)_{n\geqslant 1}$ be a sequence of finite-dimensional Banach spaces with $\dim E_n=n$, and let $F$ be a Banach space with the bounded approximation property. A…

Let $d,m,n\in\mathbb{N}$. The real symmetric spaces $\mathbb{S}^n(\mathbb{R})$, real rectangular spaces $\mathbb{R}^{m\times n}$, complex symmetric spaces…

Let $f_\eta:\mathbb R^2\to\{-1,1\}$ be the family of measurable functions defined in the paper, and let $c(f,g)$ denote the associated Krivine rounding constant. The planar roundin…

For a measure-space formulation of Grothendieck's inequality, let $K:\mathbb R^n\times\mathbb R^n\to\mathbb R$ be the oscillatory Gaussian kernel … and let … Define…