Introduction à l’analyse -adique
Kolmogorov diameters and orthogonality in non-Archimedean normed spaces.
The Kolmogorov n-diameter of a bounded set B in a non-archimedean normed space, as defined by the first author in a previous paper, is studied in terms of the norms of orthogonal subsets of B with n + 1 points.
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
Mesures p-adiques et éléments analytiques.
Minimal-Hausdorff -adic locally convex spaces
Mixed vector space topologies
Modular spaces over a field with valuation generated by a (ω,ϑ)-convex modular
Motzkin factorization in algebras of analytic elements
Nearly ring homomorphisms and nearly ring derivations on non-Archimedean Banach algebras.
Non Archimedean metric induced fuzzy uniform spaces.
Non-archimedean Eberlein-Šmulian theory.
Non-archimedean -spaces.
Non-archimedean induced representations of compact zerodimensional groups