La conjecture de la couronne en analyse complexe et p-adique
La propiedad de Orlicz-Pettis en análisis p-ádico.
Limited spaces
Limites uniformes de polynômes dans un corps valué complet non archimédien
Linear extenders and the Axiom of Choice
In set theory without the Axiom of Choice ZF, we prove that for every commutative field , the following statement : “On every non null -vector space, there exists a non null linear form” implies the existence of a “-linear extender” on every vector subspace of a -vector space. This solves a question raised in Morillon M., Linear forms and axioms of choice, Comment. Math. Univ. Carolin. 50 (2009), no. 3, 421-431. In the second part of the paper, we generalize our results in the case of spherically...
Local convexity is a three-space property for non-archimedean Fréchet spaces
Local invertibility of non-archimedean vector-valued functions
Locally convex spaces over nonspherically complete valued fields