Dvoretzky’s Theorem

  • Chuanming Zong
  • James J. Dudziak
Part of the Universitext book series (UTX)


Definition 7.1. Given a number є strictly between 0 and 1, an n-dimensional convex set K is called an є-sphere if there exists a positive number r such that
$$rB \subseteq K \subseteq r\left( {1 + \varepsilon } \right)B.$$


Convex Body Geodesic Distance Symmetric Convex Body Minkowski Norm Dimensional Normed Space 
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Copyright information

© Springer-Verlag New York, Inc. 1996

Authors and Affiliations

  • Chuanming Zong
    • 1
  • James J. Dudziak
    • 2
  1. 1.Institute of MathematicsThe Chinese Academy of SciencesBeijingPR China
  2. 2.Department of MathematicsBucknell UniversityLewisburgUSA

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