Regularization of star bodies by random hyperplane cut off

• Autorzy: V. D. Milman , A. Pajor
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 52A20: Convex sets in n dimensions (including convex hypersurfaces)
• 46B09: Probabilistic methods in Banach space theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2003
• Tom: 159
• Numer: 2
• Strony: 247-261

Daty

wydano

2003

Twórcy

autor

V. D. Milman

• Department of Mathematics, Tel Aviv University, Ramat Aviv, Israel

autor

A. Pajor

• Équipe d'Analyse et Mathématiques Appliquées, Université de Marne-la-Vallée, 5 boulevard Descartes, Champs sur Marne, 77454 Marne-la-Vallée Cedex 2, France

Identyfikatory

DOI

10.4064/sm159-2-6