Some remarks on the geometry of convex sets

  • Keith Ball
Conference paper

DOI: 10.1007/BFb0081743

Part of the Lecture Notes in Mathematics book series (LNM, volume 1317)
Cite this paper as:
Ball K. (1988) Some remarks on the geometry of convex sets. In: Lindenstrauss J., Milman V.D. (eds) Geometric Aspects of Functional Analysis. Lecture Notes in Mathematics, vol 1317. Springer, Berlin, Heidelberg

Abstract

We prove a strengthening of Santalo's inequality for the unit balls of normed spaces with 1-unconditional bases and observe that all central sections of the unit cube in Rn (for n ≥ 10) have smaller volume than those of the Euclidean ball of volume 1.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag 1988

Authors and Affiliations

  • Keith Ball
    • 1
  1. 1.Department of Pure Mathematics and Mathematical StatisticsCambridge UniversityCambridgeEngland

Personalised recommendations