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A variant of Wigner’s functional equation

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Abstract

We characterize mappings between inner product spaces satisfying a certain pair of functional equations. As a consequence a short proof of Wigner’s theorem for real, complex or quaternionic inner spaces is presented.

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Authors and Affiliations

  1. Faculty of Maritime Studies and Transport, University of Ljubljana, Pot pomorščakov 4, 6320, Portorož, Slovenia

    Aleksej Turnšek

  2. Institute of Mathematics, Physics and Mechanics, Jadranska 19, 1000, Ljubljana, Slovenia

    Aleksej Turnšek

Authors
  1. Aleksej Turnšek
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Correspondence to Aleksej Turnšek.

Additional information

This research was supported in part by the Ministry of Science and Education of Slovenia.

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Turnšek, A. A variant of Wigner’s functional equation. Aequat. Math. 89, 949–956 (2015). https://doi.org/10.1007/s00010-014-0296-0

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  • DOI: https://doi.org/10.1007/s00010-014-0296-0

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