Metric entropy of convex hulls in Banach spaces

Authors
Carl, B Kyrezi, I Pajor, A
Citation
B. Carl et al., Metric entropy of convex hulls in Banach spaces, J LOND MATH, 60, 1999, pp. 871-896
Citations number
28
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES
ISSN journal
00246107 → ACNP
Volume
60
Year of publication
1999
Part
3
Pages
871 - 896
Database
ISI
SICI code
0024-6107(199912)60:<871:MEOCHI>2.0.ZU;2-0
Abstract
The paper presents diverse methods for estimating the covering number of a precompact subset of a Banach space when the entropy of the set of its extr emal points is already known. In the case of a Hilbert space, the Gelfand d iameters of the subset are also estimated.