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Quaternion normed space with isometry group \(\mathbb Z_{2}\) - MaRDI portal

Quaternion normed space with isometry group \(\mathbb Z_{2}\) (Q1002827)

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scientific article; zbMATH DE number 5519885
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Quaternion normed space with isometry group \(\mathbb Z_{2}\)
scientific article; zbMATH DE number 5519885

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    Quaternion normed space with isometry group \(\mathbb Z_{2}\) (English)
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    26 February 2009
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    In a finite-dimensional linear space over the quaternions, the authors construct a norm with the property that any linear isometry is one of the two transformations \(x\mapsto x\) and \(x\mapsto -x\).
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    quaternion normed space
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    isometry
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