Some geometric inequalities for the Holmes-Thompson definitions of volume and surface area in Minkowski spaces.
Spaces with maximal projection constants
We show that n-dimensional spaces with maximal projection constants exist not only as subspaces of but also as subspaces of l₁. They are characterized by a rigid set of vector conditions. Nevertheless, we show that, in general, there are many non-isometric spaces with maximal projection constants. Several examples are discussed in detail.
Sur une inégalité complémentaire de l'inégalité triangulaire