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 via codimensional cross-section measures.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm123-2-5,
author = {Horst Martini and Zokhrab Mustafaev},
title = {Estimates on inner and outer radii of unit balls in normed spaces},
journal = {Colloquium Mathematicae},
volume = {122},
year = {2011},
pages = {211-217},
zbl = {1231.52005},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm123-2-5}
}
Horst Martini; Zokhrab Mustafaev. Estimates on inner and outer radii of unit balls in normed spaces. Colloquium Mathematicae, Tome 122 (2011) pp. 211-217. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm123-2-5/