Ein einfacher Beweis des Satzes von Alexandroff-Lester. (A simple proof of the theorem of Alexandroff-Lester) (Q917023)
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scientific article; zbMATH DE number 4155322
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ein einfacher Beweis des Satzes von Alexandroff-Lester. (A simple proof of the theorem of Alexandroff-Lester) |
scientific article; zbMATH DE number 4155322 |
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Ein einfacher Beweis des Satzes von Alexandroff-Lester. (A simple proof of the theorem of Alexandroff-Lester) (English)
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1990
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Assume V is an at least 3-dimensional vector space, Q is a quadratic form on V, there are nontrivial singular vectors in V but not in the radical of V. Then every 0-isomorphism is a metric automorphism with respect to Q. The author gives a new, short, and transparent proof for this theorem. Examples show the necessity of the assumptions.
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isometry
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semilinear
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Alexandroff
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quadratic form
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