Summary
In this paper we present a unified treatment of Wigner's unitarity-antiunitarity theorem simultaneously in the real and the complex case. Its elementary nature, emphasized by V. Bargmann in 1964, is underlined here by removing unnecessary hypotheses, the most important being the completeness of the inner product spaces involved. At the end, we shall obtain connections to some recent results in geometry.
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Rätz, J. On Wigner's theorem: Remarks, complements, comments, and corollaries. Aeq. Math. 52, 1–9 (1996). https://doi.org/10.1007/BF01818323
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DOI: https://doi.org/10.1007/BF01818323