Archiv der Mathematik

, Volume 73, Issue 3, pp 186–192 | Cite as

On mappings preserving inner product modulo an ideal

  • Jacek Chmieliński
  • Roman Ger


Motivated by a recent paper of J. Chmieliński and J. Rätz [2], under considerably less restrictive or alternate assumptions and using different methods we show that every map between two inner product spaces preserving the inner products up to a "negligible" set of arguments has to be almost everywhere equal to an exact solution of the orthogonality equation.


Exact Solution Product Space Alternate Assumption Orthogonality Equation Product Modulo 
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Copyright information

© Birkhäuser Verlag, Basel 1999

Authors and Affiliations

  • Jacek Chmieliński
    • 1
  • Roman Ger
    • 2
  1. 1.Instytut Matematyki, WSP w Krakowie, Podchorażych 2, 30-084 Kraków, PolandPL
  2. 2.Instytut Matematyki, Uniwersytetu Ślaskiego, Bankowa 14, 40-007 Katowice, PolandPL

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