A precision on the concept of strict convexity in non-Archimedean analysis
Functional Analysis
2021-02-23 v1
Abstract
We prove that the only non-Archimedean strictly convex spaces are the zero space and the one-dimensional linear space over , with any of its trivial norms.
Keywords
Cite
@article{arxiv.2102.11059,
title = {A precision on the concept of strict convexity in non-Archimedean analysis},
author = {Javier Cabello Sánchez and José Navarro Garmendia},
journal= {arXiv preprint arXiv:2102.11059},
year = {2021}
}
Comments
Published in Nonlinear Analysis, DOI: https://doi.org/10.1016/j.na.2021.112304