Numerical ranges over finite fields (Q273125)
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scientific article; zbMATH DE number 6571656
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical ranges over finite fields |
scientific article; zbMATH DE number 6571656 |
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Numerical ranges over finite fields (English)
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21 April 2016
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numerical range
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field of values
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finite fields
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For any prime p congruent to 3 modulo 4, let \(M_n(\mathbb Z_p[i])\) denote the set of \(n\times n\) matrices over \(\mathbb Z_p[i]\). The finite filed numerical range of matrices in \(M_n(\mathbb Z_p[i])\) is defined by NEWLINE\[NEWLINE W(M)=\{x^*Mx:x \in \mathbb Z_p[i]^n, x^*x=1\}. NEWLINE\]NEWLINE In the present paper, the authors study the properties of \(W(M)\).
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