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Article Dans Une Revue Discrete and Computational Geometry Année : 2002

Hyperplane projections of the unit ball of l(p)(n)

A Naor
  • Fonction : Auteur

Résumé

Let B-p(n) = {x is an element of R-n; Sigma(i=1)(n) \x(i)\(p) less than or equal to 1}, 1 less than or equal to p less than or equal to +infinity. We study the extreme values of the volume of the orthogonal projection of B-p(n) onto hyperplanes H subset of R-n. For a fixed H, we prove that the ratio vol(PHBpn)/vol(B-p(n-1)) is non-decreasing in p is an element of [1, +infinity].
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Dates et versions

hal-00693644 , version 1 (02-05-2012)

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  • HAL Id : hal-00693644 , version 1

Citer

Franck Barthe, A Naor. Hyperplane projections of the unit ball of l(p)(n). Discrete and Computational Geometry, 2002, 27 (2), pp.215--226. ⟨hal-00693644⟩
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