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Generalization of Wigner's Unitary-Antiunitary Theorem for Indefinite Inner Product Spaces

✍ Scribed by Lajos Molnár


Publisher
Springer
Year
2000
Tongue
English
Weight
57 KB
Volume
210
Category
Article
ISSN
0010-3616

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Orthogonality Preserving Transformations
✍ Lajos Molnár 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 146 KB

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