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A density theorem for locally convex lattices

Author

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  • Dimitrie Kravvaritis
  • Gavriil Păltineanu

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.

Suggested Citation

  • Dimitrie Kravvaritis & Gavriil Păltineanu, 2004. "A density theorem for locally convex lattices," Abstract and Applied Analysis, Hindawi, vol. 2004, pages 1-7, January.
    • Handle: RePEc:hin:jnlaaa:619635
    DOI: 10.1155/S1085337504303088
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