Skip to Main content Skip to Navigation
Journal articles

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

Abstract : 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].
Document type :
Journal articles
Complete list of metadatas

https://hal-upec-upem.archives-ouvertes.fr/hal-00693644
Contributor : Admin Lama <>
Submitted on : Wednesday, May 2, 2012 - 9:50:35 PM
Last modification on : Thursday, March 19, 2020 - 12:26:02 PM

Identifiers

  • HAL Id : hal-00693644, version 1

Citation

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

Share

Metrics

Record views

122