Geodesic
Estimates on inner and outer radii of unit balls in normed spaces
Horst Martini 1   ; Zokhrab Mustafaev 2
1 Faculty of Mathematics University of Technology Chemnitz 09107 Chemnitz, Germany
2 Department of Mathematics University of Houston-Clear Lake Houston, TX 77058, U.S.A.
Colloquium Mathematicum, Tome 123 (2011) no. 2, pp. 211-217 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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 $\mathbb R^d$ via codimensional cross-section measures.
DOI : 10.4064/cm123-2-5
Keywords: purpose paper continue investigations extremal values inner outer radii unit ball finite dimensional real banach space holmes thompson busemann measures furthermore related characterization ellipsoids mathbb via codimensional cross section measures

Horst Martini  1   ; Zokhrab Mustafaev  2

1 Faculty of Mathematics University of Technology Chemnitz 09107 Chemnitz, Germany
2 Department of Mathematics University of Houston-Clear Lake Houston, TX 77058, U.S.A. 
@article{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 Mathematicum},
     pages = {211--217},
     year = {2011},
     volume = {123},
     number = {2},
     doi = {10.4064/cm123-2-5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm123-2-5/}
}
TY  - JOUR
AU  - Horst Martini
AU  - Zokhrab Mustafaev
TI  - Estimates on inner and outer radii of unit balls in normed spaces
JO  - Colloquium Mathematicum
PY  - 2011
SP  - 211
EP  - 217
VL  - 123
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm123-2-5/
DO  - 10.4064/cm123-2-5
LA  - en
ID  - 10_4064_cm123_2_5
ER  - 
%0 Journal Article
%A Horst Martini
%A Zokhrab Mustafaev
%T Estimates on inner and outer radii of unit balls in normed spaces
%J Colloquium Mathematicum
%D 2011
%P 211-217
%V 123
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/cm123-2-5/
%R 10.4064/cm123-2-5
%G en
%F 10_4064_cm123_2_5
Horst Martini; Zokhrab Mustafaev. Estimates on inner and outer radii of unit balls in normed spaces. Colloquium Mathematicum, Tome 123 (2011) no. 2, pp. 211-217. doi: 10.4064/cm123-2-5

Cité par Sources :