Trace form preservers (Q1300863)
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scientific article; zbMATH DE number 1331331
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Trace form preservers |
scientific article; zbMATH DE number 1331331 |
Statements
Trace form preservers (English)
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9 February 2000
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Let \(K\) be a field, \(X\) the set of \(n\times n\) matrices over the field, and \(T^d(X)= \text{tr}(x^d)\). A field of characteristic \(p\) with \(|K|> d>2\) is considered. If \(d\) is not of the form \(p^m\) or \(2p^m\), then every preserver of \(T^d\) is \(\lambda\)-standard. The cases of large fields and small fields are discussed separately.
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trace form preservers
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linear transformations
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