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

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Aequationes mathematicae Aims and scope Submit manuscript

Summary.

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

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Authors and Affiliations

  1. Department of Mathematics, National Technical University of Athens, Zografou Campus, 15780, Athens, Greece

    Themistocles M. Rassias

  2. Inst. für Technische Mathematik, Universität Innsbruck, Technikerstr. 13, 6020, Innsbruck, Austria

    Peter Wagner

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  1. Themistocles M. Rassias
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  2. Peter Wagner
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Correspondence to Themistocles M. Rassias.

Additional information

Manuscript received: May 16, 2001 and, in final form, December 12, 2001

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Rassias, T.M., Wagner, P. Volume preserving mappings in the spirit of the Mazur-Ulam theorem . Aequat. Math. 66, 85–89 (2003). https://doi.org/10.1007/s00010-003-2669-7

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  • DOI: https://doi.org/10.1007/s00010-003-2669-7

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