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

@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 -