Regularization of star bodies by random hyperplane cut off
Studia Mathematica, Tome 159 (2003) no. 2, pp. 247-261

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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
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 hyperplane cut off},
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 hyperplane cut off
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 hyperplane cut off
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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

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