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

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.

Published in Nonlinear Analysis, DOI: https://doi.org/10.1016/j.na.2021.112304

Cited by in corpus (1)

• On the concept of non-ultrametric non-Archimedean analysis