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Entropy Numbers and Duality for Operators with Values in a Hilbert Space

  • H. König
  • V. D. Milman
  • N. Tomczak-Jaegermann
Part of the Progress in Probability book series (PRPR, volume 20)

Abstract

Let Y be a Banach space and let TY be a compact body. Let KY be a compact set. Recall that the covering number N(K, T) is defined by
$$N(K,T)=inf\left\{ N:\exists y1,...,yNinYsuchthatK\subset \underset{1}{\overset{N}{\mathop{\bigcup }}}\,(yi+T) \right\}$$
.

Keywords

Hilbert Space Convex Body Isoperimetric Inequality Absolute Constant Random Projection 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Boston 1990

Authors and Affiliations

  • H. König
    • 1
  • V. D. Milman
    • 2
  • N. Tomczak-Jaegermann
    • 3
  1. 1.Mathematisches SeminarUniversität KielKiel 1West Germany
  2. 2.School of Mathematical Sciences, Raymond and Beverley Sackler, Faculty of Exact SciencesTel Aviv UniversityTel AvivIsrael
  3. 3.Department of MathematicsUniversity of AlbertaEdmontonCanada

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