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Non-archimedean Nachbin-spaces. (English) Zbl 0538.46058

In the present note we characterize localizability in non-archimedean Nachbin-spaces and we describe the closure of polynomial algebras and Stone-Weierstrass subspaces.

MSC:

46S10 Functional analysis over fields other than \(\mathbb{R}\) or \(\mathbb{C}\) or the quaternions; non-Archimedean functional analysis
46E10 Topological linear spaces of continuous, differentiable or analytic functions
46E40 Spaces of vector- and operator-valued functions
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