Geodesic
Quaternion Normed Space with Isometry Group~$\mathbb{Z}_2$
Funkcionalʹnyj analiz i ego priloženiâ, Tome 42 (2008) no. 3, pp. 90-92.

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In a finite-dimensional linear space over the quaternion field, we construct a norm with the following property. Any linear isometry is one of the two transformations $x\mapsto x$ and $x\mapsto-x$.
Keywords: quaternion normed space, isometry. 
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R. S. Ismagilov; Yu. I. Lyubich. Quaternion Normed Space with Isometry Group~$\mathbb{Z}_2$. Funkcionalʹnyj analiz i ego priloženiâ, Tome 42 (2008) no. 3, pp. 90-92. http://geodesic.mathdoc.fr/item/FAA_2008_42_3_a11/

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