Sharp asymptotics of the metric entropy for ellipsoids

  • Authors:

  • Siegfried Graf;Harald Luschgy

  • Affiliations:

  • Fakultät für Mathematik und Informatik, Universität Passau, D-94030 Passau, Germany;FB IV-Mathematik, Universität Trier, D-54286 Trier, Germany

  • Venue:
  • Journal of Complexity
  • Year:
  • 2004

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Abstract

The sharp asymptotics for the (metric) entropy numbers of large ellipsoids in a Hilbert space is derived. The condition imposed is slow variation of the lengths of the semi-axes.