On the concept of non-ultrametric non-Archimedean analysis

Javier Cabello Sánchez, Francisco J. Carmona Fuertes

Given some non-Archimedean field $\mathbb{K}$ and some $\mathbb{K}$-linear space $X$, the usual way to define a norm over $X$ involves the {\em ultrametric inequality} $\|x+y\|\leq…