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

Horst Martini, and Zokhrab Mustafaev. "Estimates on inner and outer radii of unit balls in normed spaces." Colloquium Mathematicae 123.2 (2011): 211-217. <http://eudml.org/doc/283519>.

@article{HorstMartini2011,
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 $ℝ^\{d\}$ via codimensional cross-section measures.},
author = {Horst Martini, Zokhrab Mustafaev},
journal = {Colloquium Mathematicae},
keywords = {Busemann volume; cross-section measures; ellipsoids; Holmes-Thompson volume; inner radius; intersection body; isoperimetrix; Minkowski space; mixed volumes; outer radius; projection body},
language = {eng},
number = {2},
pages = {211-217},
title = {Estimates on inner and outer radii of unit balls in normed spaces},
url = {http://eudml.org/doc/283519},
volume = {123},
year = {2011},
}

TY - JOUR
AU - Horst Martini
AU - Zokhrab Mustafaev
TI - Estimates on inner and outer radii of unit balls in normed spaces
JO - Colloquium Mathematicae
PY - 2011
VL - 123
IS - 2
SP - 211
EP - 217
AB - 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 $ℝ^{d}$ via codimensional cross-section measures.
LA - eng
KW - Busemann volume; cross-section measures; ellipsoids; Holmes-Thompson volume; inner radius; intersection body; isoperimetrix; Minkowski space; mixed volumes; outer radius; projection body
UR - http://eudml.org/doc/283519
ER -