A+ CATEGORY SCIENTIFIC UNIT

Regularization of star bodies by random hyperplane cut off

Volume 159 / 2003

V. D. Milman, A. Pajor Studia Mathematica 159 (2003), 247-261 MSC: 46B09, 52A20. DOI: 10.4064/sm159-2-6

Abstract

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.

Authors

  • V. D. MilmanDepartment of Mathematics
    Tel Aviv University
    Ramat Aviv, Israel
    e-mail
  • A. PajorÉquipe d'Analyse et Mathématiques Appliquées
    Université de Marne-la-Vallée
    5 boulevard Descartes, Champs sur Marne
    77454 Marne-la-Vallée Cedex 2, France
    e-mail

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