Estimates on inner and outer radii of unit balls in normed spaces
Volume 123 / 2011
Colloquium Mathematicum 123 (2011), 211-217
MSC: 46B20, 52A40
DOI: 10.4064/cm123-2-5
Abstract
The purpose of this paper is to continue the investigations on extremal values for inner and outer radii of the unit ball of a finite-dimensional real Banach space for the Holmes–Thompson and Busemann measures. Furthermore, we give a related new characterization of ellipsoids in $\mathbb R^d$ via codimensional cross-section measures.
