Characterization of Jordan homomorphism on \(M_ n\) using preserving properties (Q1375513)
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scientific article; zbMATH DE number 1100760
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Characterization of Jordan homomorphism on \(M_ n\) using preserving properties |
scientific article; zbMATH DE number 1100760 |
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Characterization of Jordan homomorphism on \(M_ n\) using preserving properties (English)
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1 July 1998
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The authors prove that any continuous mapping from \(M_n\) to itself which preserves the spectrum, the set of rank 1 matrices, and the property that two matrices commute must be an algebra automorphism or antiautomorphism.
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preserving properties
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Jordan homomorphism
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spectrum
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rank 1 matrices
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