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Hyers–Ulam constants of Hilbert spaces

Volume 153 / 2002

Taneli Huuskonen, Jussi Väısälä Studia Mathematica 153 (2002), 31-40 MSC: Primary 46B20; Secondary 46C05. DOI: 10.4064/sm153-1-3

Abstract

The best constant in the Hyers–Ulam theorem on isometric approximation in Hilbert spaces is equal to the Jung constant of the space.

Authors

  • Taneli HuuskonenMatematiikan laitos
    Helsingin yliopisto
    PL 4, Yliopistonkatu 5
    00014 Helsinki, Finland
    e-mail
  • Jussi VäısäläMatematiikan laitos
    Helsingin yliopisto
    PL 4, Yliopistonkatu 5
    00014 Helsinki, Finland
    e-mail

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