Original Articles

A vector lattice version of r˚ adström's embedding theorem

Published in: Quaestiones Mathematicae
Volume 30 , issue 3 , 2007 , pages: 285–308

DOI: 10.2989/16073600709486200

Author(s): C.C.A. Labuschagne , A.L. Pinchuck , C.J. van Alten

Keywords: BANACH SPACE , BANACH LATTICE , HAUSDORFF METRIC , HYPERSPACE , RADSTROM'S EMBEDDING , RIESZ SPACE , VECTOR LATTICE

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Abstract

R˚ adström's embedding theorem for 'near vector spaces', which are essentially vector spaces without additive inverses, is extended to embeddings of 'near vector lattices', which are essentially vector lattices without additive inverses, into vector lattices.

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