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Symmetry transformations in indefinite metric spaces: A generalization of Wigner's theorem

✍ Scribed by P.M. Van den Broek

Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
565 KB
Volume
127
Category
Article
ISSN
0378-4371

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✦ Synopsis

We formulate and prove a generalization to indefinite metric spaces of Uhlhorn's version of Wigner's theorem.

πŸ“œ SIMILAR VOLUMES

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We present an analogue of Uhlhorn's version of Wigner's theorem on symmetry transformations for the case of indefinite inner product spaces. This significantly generalizes a result of Van den Broek. The proof is based on our main theorem, which describes the form of all bijective transformations on

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## Abstract An analog to the Gleason theorem for measures on logics of projections in indefinite metric spaces is proved.