On the isotropic constant of non-symmetric convex bodies
type: Item
instance of: scholarly article
title: On the isotropic constant of non-symmetric convex bodies
zbMATH Open document ID: 0871.52007
DOI: 10.1007/BF02774032
author: O. Diekmann
published in: Israel Journal of Mathematics
publication date: 1997-05-19T00:00:00Z
review text: The isotropic constant \(L_K\) is an affine invariant of a convex body \(K\). It is well-known that for symmetric bodies in \(\mathbb{R}^n\) the invariant \(L_K\) has an upper bound \(\sqrt n\) (up to a constant factor). Here it is shown that this is also true in the general case. This is achieved by introducing the isotropic constants for finite point sets and proving such an inequality for this case.
Mathematics Subject Classification ID: 52A40
Mathematics Subject Classification ID: 52A21
zbMATH DE Number: 1011394
zbMATH Keywords: isotropic constant
zbMATH Keywords: convex body
reviewed by: Erhard Heil
MaRDI profile type: Publication
cites work: Q4839519
cites work: Q4728828
description: scientific article; zbMATH DE number 1011394