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A decomposition theorem in tensor products of Archimedean vector lattices

Part of: Topological linear spaces and related structures

Published online by Cambridge University Press:  26 February 2010

D. H. Fremlin  and
M. Talagrand
D. H. Fremlin
Affiliation:
Mathematics Department, University of Essex, Wivenhoe Park, Colchester, U.K.
M. Talagrand
Affiliation:
Equipe d'Analyse-Tour 46, Universite Paris VI, 4 Place Jussieu, 75230 Paris Cedex 05, France.
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Abstract

A natural and welcomed decomposition theorem for elements in the positive cone of the tensor product of Archimedean vector lattices leads to substantial simplifications in the theory of tensor products of Archimedean vector lattices.

MSC classification

Secondary: 46A40: Ordered topological linear spaces, vector lattices
Type
Research Article
Information
Mathematika , Volume 26 , Issue 2 , December 1979 , pp. 302 - 305
Copyright
Copyright © University College London 1979

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References

1.Fremlin, D. H.. “Tensor products of Archimedean vector lattices”, Amer. J. Math., 94(1972), 777–798.CrossRefGoogle Scholar
2.Schaefer, H. H.. Topological Vector Spaces (Macmillan, 1966).Google Scholar