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/