Minimal-volume shadows of cubes
A proof is given that for every subspace \(L\) of \(\mathbb{R}^m\), the set of minimal-volume shadows in \(L\) contains a parallelepiped. The main result is that for some subspaces there exist minimal-volume shadows that are far from parallelepipeds with respect to the Banach-Mazur distance.
scientific article; zbMATH DE number 1529987
scientific article