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math.FA2021★ 3 cited
A precision on the concept of strict convexity in non-Archimedean analysis
Javier Cabello Sánchez, José Navarro Garmendia
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 norm…
math.FA2020
The Banach space of quasinorms on a finite-dimensional space
Javier Cabello Sánchez, Daniel Morales González
Our main result states that, given a finite-dimensional vector space , the pseudometric defined in the set of continuous quasinorms …