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Weak bases in p -adic spaces

N. De Grande-De Kimpe, J. Kąkol, C. Perez-Garcia, W. H. Schikhof (2002)

Bollettino dell'Unione Matematica Italiana

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.

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