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arXiv · 2102.11059

A precision on the concept of strict convexity in non-Archimedean analysis

Javier Cabello Sánchez·José Navarro Garmendia
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Abstract

We prove that the only non-Archimedean strictly convex spaces are the zero space and the one-dimensional linear space over $\, \mathbb{Z}/3\mathbb{Z}$, with any of its trivial norms.

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Javier Cabello Sánchez, José Navarro Garmendia. 2021-02-22. A precision on the concept of strict convexity in non-Archimedean analysis. https://doi.org/10.1016/j.na.2021.112304

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