A density theorem for locally convex lattices

Dimitrie Kravvaritis and Gavriil Păltineanu

Abstract and Applied Analysis, 2004, vol. 2004, 1-7

Abstract:

Let E be a real, locally convex, locally solid vector lattice of (AM)-type. First, we prove an approximation theorem of Bishop's type for a vector subspace of such a lattice. Second, using this theorem, we obtain a generalization of Nachbin's density theorem for weightedspaces.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:619635

DOI: 10.1155/S1085337504303088

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