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Estimates on inner and outer radii of unit balls in normed spaces

Horst Martini, Zokhrab Mustafaev (2011)

Colloquium Mathematicae

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 d via codimensional cross-section measures.

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