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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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