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Aequationes mathematicae

, Volume 66, Issue 1–2, pp 85–89 | Cite as

Volume preserving mappings in the spirit of the Mazur-Ulam theorem

  • Themistocles M. Rassias
  • Peter Wagner
Research paper

Summary.

In this article we describe all volume preserving mappings (linear or not) from a real finite dimensional vector space into itself.

Mathematics Subject Classification (2000).

39B42 

Keywords.

Volume preservation Mazur-Ulam theorem Special linear group 

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Copyright information

© Birkhäuser-Verlag 2003

Authors and Affiliations

  1. 1.Department of MathematicsNational Technical University of AthensAthensGreece
  2. 2.Inst. für Technische MathematikUniversität InnsbruckInnsbruckAustria

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