Almost Isometries of Balls (Preprint)

Abstract

Let f be a bi-Lipschitz mapping of the Euclidean ball BRn into ell2 with both Lipschitz constants close to one. We investigate the shape of f(BRn). We give examples of such a mapping f, which has the Lipschitz constants arbitrarily close to one and at the same time has in the supremum norm the distance at least one from every isometry of Rn.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2001
Accession Number
ADA640824

Entities

People

  • Eva Matouskova

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  • University of South Carolina

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Fields of Study

  • Mathematics

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  • Astronomy/Astrophysics
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