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A density theorem for locally convex lattices

Authors
Publisher
Abstract and Applied Analysis
Publication Date
Disciplines
  • Mathematics

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.

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