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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On the entropy of the convex hull of finite sets


Author: Ioanna Kyrezi
Journal: Proc. Amer. Math. Soc. 128 (2000), 2393-2403
MSC (2000): Primary 46B07, 46B20, 47B37, 52A38
Published electronically: November 29, 1999
MathSciNet review: 1662261
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Abstract: We give estimates for the entropy numbers and the Gel$'$fand diameters of the symmetric convex hull of a finite number of points in a Banach or a Hilbert space.


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Additional Information

Ioanna Kyrezi
Affiliation: Université de Marne-la-Vallée, Equipe d’Analyse et de Mathématiques Appliquées, Cité Descartes, 5 Bd Descartes, Champs sur Marne, 77454 Marne-la-Vallée Cedex 2, France
Email: kyrezi@math.univ-mlv.fr

DOI: http://dx.doi.org/10.1090/S0002-9939-99-05302-2
PII: S 0002-9939(99)05302-2
Keywords: Metric entropy, entropy numbers, Gel$'$fand numbers
Received by editor(s): June 14, 1998
Received by editor(s) in revised form: September 22, 1998
Published electronically: November 29, 1999
Additional Notes: The author’s research was supported by Hellenic S.S.F
Communicated by: Dale Alspach
Article copyright: © Copyright 2000 American Mathematical Society