Hyperplane projections of the unit ball of ℓpn

F. Barthe, A. Naor

Research output: Contribution to journalArticle

Abstract

Let Bpn = {x ∈ℝni=1 n|xi|p ≤ 1}, 1 ≤ p ≤ + ∞. We study the extreme values of the volume of the orthogonal projection of Bpn onto hyperplanes H ℝ Rn. For a fixed H, we prove that the ratio vol(PHBpn)/vol(Bpn-1) is non-decreasing in p ∈ [1, +∞].

Original languageEnglish (US)
Pages (from-to)215-226
Number of pages12
JournalDiscrete and Computational Geometry
Volume27
Issue number2
DOIs
StatePublished - Mar 2002

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics

Fingerprint Dive into the research topics of 'Hyperplane projections of the unit ball of ℓ<sub>p</sub><sup>n</sup>'. Together they form a unique fingerprint.

  • Cite this