On the Krein-Milman theorem in vector spaces over a non-Archimedean valued field \(K\)

DOI10.1016/0019-3577(90)90003-6zbMath0755.46043OpenAlexW1995998199MaRDI QIDQ1813429

S. Borrey

Publication date: 25 June 1992

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0019-3577(90)90003-6

zbMATH Keywords

Hausdorff locally convex spaceKrein-Milman like theoremsnonarchimedian complete valued fieldnontrivial valuation

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Radon-Nikodým, Kre?n-Milman and related properties (46B22) Convex sets in topological linear spaces; Choquet theory (46A55)

Related Items (1)

\((t)\)-orthogonality in \(p\)-adic Banach spaces

Cites Work

• A new approach to the Krein-Milman theorem
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