Geodesic
Regularization of star bodies by random hyperplane cut off
V. D. Milman1 ; A. Pajor2
1 Department of Mathematics Tel Aviv University Ramat Aviv, Israel
2 Équipe d'Analyse et Mathématiques Appliquées Université de Marne-la-Vallée 5 boulevard Descartes, Champs sur Marne 77454 Marne-la-Vallée Cedex 2, France
Studia Mathematica, Tome 159 (2003) no. 2, pp. 247-261 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

We present a general result on regularization of an arbitrary convex body (and more generally a star body), which gives and extends global forms of a number of well known local facts, like the low $M^*$-estimates, large Euclidean sections of finite volume-ratio spaces and others.
DOI : 10.4064/sm159-2-6
Keywords: present general result regularization arbitrary convex body generally star body which gives extends global forms number known local facts low * estimates large euclidean sections finite volume ratio spaces others

V. D. Milman 1 ; A. Pajor 2

1 Department of Mathematics Tel Aviv University Ramat Aviv, Israel
2 Équipe d'Analyse et Mathématiques Appliquées Université de Marne-la-Vallée 5 boulevard Descartes, Champs sur Marne 77454 Marne-la-Vallée Cedex 2, France 
@article{10_4064_sm159_2_6,
     author = {V. D. Milman and A. Pajor},
     title = {Regularization of star bodies by random
 hyperplane cut off},
     journal = {Studia Mathematica},
     pages = {247--261},
     year = {2003},
     volume = {159},
     number = {2},
     doi = {10.4064/sm159-2-6},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm159-2-6/}
}
TY  - JOUR
AU  - V. D. Milman
AU  - A. Pajor
TI  - Regularization of star bodies by random
 hyperplane cut off
JO  - Studia Mathematica
PY  - 2003
SP  - 247
EP  - 261
VL  - 159
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm159-2-6/
DO  - 10.4064/sm159-2-6
LA  - en
ID  - 10_4064_sm159_2_6
ER  - 
%0 Journal Article
%A V. D. Milman
%A A. Pajor
%T Regularization of star bodies by random
 hyperplane cut off
%J Studia Mathematica
%D 2003
%P 247-261
%V 159
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/sm159-2-6/
%R 10.4064/sm159-2-6
%G en
%F 10_4064_sm159_2_6
V. D. Milman; A. Pajor. Regularization of star bodies by random
 hyperplane cut off. Studia Mathematica, Tome 159 (2003) no. 2, pp. 247-261. doi: 10.4064/sm159-2-6

Cité par Sources :