Geodesic
Weak bases in $p$-adic spaces
Bollettino della Unione matematica italiana, Série 8, 5B (2002) no. 3, pp. 667-676.

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

We study polar locally convex spaces over a non-archimedean non-trivially valued complete field with a weak topological basis. We prove two completeness theorems and a Hahn-Banach type theorem for locally convex spaces with a weak Schauder basis.
Si studiano spazi polari localmente convessi su un non trivialmente valutato campo completo non archimedeo con una debole base topologica. Dimostriamo due teoremi di completezza e un teorema tipo Hahn-Banach per spazi localmente convessi con una debole base di Schauder. 
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     title = {Weak bases in $p$-adic spaces},
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De Grande-De Kimpe, N.; Kąkol, J.; Perez-Garcia, C.; Schikhof, W. H. Weak bases in $p$-adic spaces. Bollettino della Unione matematica italiana, Série 8, 5B (2002) no. 3, pp. 667-676. http://geodesic.mathdoc.fr/item/BUMI_2002_8_5B_3_a5/

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