When is a subspace of ${\ell }_{\infty }^N$ isometrically isomorphic to ${\ell }_{\infty }^n$?

Beata Deregowska, Simon Foucart, Barbara Lewandowska

It is shown in this note that one can decide whether an $n$-dimensional subspace of ${\ell }_{\infty }^N$ is isometrically isomorphic to ${\ell }_{\infty }^n$ by testing a finite number of det…