The covering numbers and "low M*-estimate" for quasi-convex bodies

Citation
Ae. Litvak et al., The covering numbers and "low M*-estimate" for quasi-convex bodies, P AM MATH S, 127(5), 1999, pp. 1499-1507
Citations number
21
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
127
Issue
5
Year of publication
1999
Pages
1499 - 1507
Database
ISI
SICI code
0002-9939(199905)127:5<1499:TCNA"M>2.0.ZU;2-O
Abstract
This article gives estimates on the covering numbers and diameters of rando m proportional sections and projections of quasi-convex bodies in R-n. Thes e results were known for the convex case and played an essential role in th e development of the theory. Because duality relations cannot be applied in the quasi-convex setting, new ingredients were introduced that give new un derstanding for the convex case as well.