Hyers-Ulam constants of Hilbert spaces

Taneli Huuskonen; Jussi Väısälä

Studia Mathematica (2002)

  • Volume: 153, Issue: 1, page 31-40
  • ISSN: 0039-3223

Abstract

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

How to cite

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Taneli Huuskonen, and Jussi Väısälä. "Hyers-Ulam constants of Hilbert spaces." Studia Mathematica 153.1 (2002): 31-40. <http://eudml.org/doc/284940>.

@article{TaneliHuuskonen2002,
abstract = {The best constant in the Hyers-Ulam theorem on isometric approximation in Hilbert spaces is equal to the Jung constant of the space.},
author = {Taneli Huuskonen, Jussi Väısälä},
journal = {Studia Mathematica},
keywords = {-nearisometry; isometry; Hyers-Ulam constant; Jung constant},
language = {eng},
number = {1},
pages = {31-40},
title = {Hyers-Ulam constants of Hilbert spaces},
url = {http://eudml.org/doc/284940},
volume = {153},
year = {2002},
}

TY - JOUR
AU - Taneli Huuskonen
AU - Jussi Väısälä
TI - Hyers-Ulam constants of Hilbert spaces
JO - Studia Mathematica
PY - 2002
VL - 153
IS - 1
SP - 31
EP - 40
AB - The best constant in the Hyers-Ulam theorem on isometric approximation in Hilbert spaces is equal to the Jung constant of the space.
LA - eng
KW - -nearisometry; isometry; Hyers-Ulam constant; Jung constant
UR - http://eudml.org/doc/284940
ER -

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