Geodesic
Monotonicity of the maximum of inner product norms
Commentationes Mathematicae Universitatis Carolinae, Tome 45 (2004) no. 3, pp. 383-388.

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Let $\Bbb K$ be the field of real or complex numbers. In this note we characterize all inner product norms $p_1,\ldots ,p_m$ on $\Bbb K^n$ for which the norm $x\longmapsto \max \{p_1(x),\ldots ,p_m(x)\}$ on $\Bbb K^n$ is monotonic.
Classification : 15A60, 15A63, 52A21
Keywords: finite dimensional vector space; monotonic norm; absolute norm; inner pro\-duct norm 
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     title = {Monotonicity of the maximum of inner product norms},
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Lavrič, Boris. Monotonicity of the maximum of inner product norms. Commentationes Mathematicae Universitatis Carolinae, Tome 45 (2004) no. 3, pp. 383-388. http://geodesic.mathdoc.fr/item/CMUC_2004__45_3_a0/