The Mazur–Ulam theorem

  title={The Mazur–Ulam theorem},
  author={Bogdan Nica},
  journal={Expositiones Mathematicae},
  • Bogdan Nica
  • Published 10 June 2013
  • Mathematics
  • Expositiones Mathematicae
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A Proof of the Mazur-Ulam Theorem
Since the partial derivative F1 (a, a) = -h'(a) = ("n+p)/p 0, the implicit function theorem guarantees the existence of an interval (a 6, a + 6) with 3 > 0 on which (15) can be solved explicitly for
Ulam: Sur les transformations isométriques d’espaces vectoriels normés
  • C. R. Acad. Sci. Paris
  • 1932
Maps which preserve equality of distance
Acknowledgment. I thank Jussi Väisälä for his interest in this note
  • Acknowledgment. I thank Jussi Väisälä for his interest in this note
Functional analysis, Wiley-Interscience Series in Pure and Applied Mathematics
  • 2002
Ulam : Sur les transformations isométriques d ’ espaces vectoriels normés , C . R
  • . Acad . Sci . Paris
  • 1932
Sur les transformations isométriques d'espaces vectoriels normés
  • C. R. Acad. Sci. Paris
  • 1932