Perez-Garcia, C. Compactoid sets in p-adic locally convex spaces with the Hahn-Banach extension property. (English) Zbl 0675.46040 Ann. Soc. Sci. Bruxelles, Sér. I 102, No. 3, 97-104 (1988). Summary: Let K be a non-archimedean, non-trivially valued, complete field with valuation \(| \cdot |\). Given a locally convex space E over K with the H.B.E.P., we obtain several descriptions of compactoid sets of E in terms of non-archimedean seminorms on the topological dual \(E'\). Cited in 1 Document MSC: 46S10 Functional analysis over fields other than \(\mathbb{R}\) or \(\mathbb{C}\) or the quaternions; non-Archimedean functional analysis 46A20 Duality theory for topological vector spaces 46A50 Compactness in topological linear spaces; angelic spaces, etc. Keywords:Hahn-Banach extension property; non-archimedean, non-trivially valued, complete field; compactoid sets; non-archimedean seminorms PDFBibTeX XMLCite \textit{C. Perez-Garcia}, Ann. Soc. Sci. Brux., Sér. I 102, No. 3, 97--104 (1988; Zbl 0675.46040)