On Wigner’s theorem: Remarks, complements, comments, and corollaries. (English) Zbl 0860.39033
The author uses functional equations to present a very simple proof of Wigner’s unitarity-antiunitarity theorem (simultaneously in the real and the complex case) and it is shown how some hypotheses (like the completeness of the inner product spaces) can be eliminated. Some connections with special classes of geometrical transformations are given.
Reviewer: C.Alsina (Barcelona)
MSC:
| 39B42 | Matrix and operator functional equations |
| 46C05 | Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) |
References:
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