1Faculty of Mathematics University of Technology Chemnitz 09107 Chemnitz, Germany 2Department of Mathematics University of Houston-Clear Lake Houston, TX 77058, U.S.A.
Colloquium Mathematicum, Tome 123 (2011) no. 2, pp. 211-217
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.
1
Faculty of Mathematics University of Technology Chemnitz 09107 Chemnitz, Germany
2
Department of Mathematics University of Houston-Clear Lake Houston, TX 77058, U.S.A.
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Horst Martini; Zokhrab Mustafaev. Estimates on inner and outer radii of unit balls in normed spaces. Colloquium Mathematicum, Tome 123 (2011) no. 2, pp. 211-217. doi: 10.4064/cm123-2-5