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On the representation of increasing linear functionals on Riesz spaces by measures

Published online by Cambridge University Press:  26 February 2010

D. H. Fremlin  and
M. Talagrand
D. H. Fremlin
Affiliation:
University of Essex, Department of Mathematics, Wivenhoe Park, Colchester CO4 3SQ
M. Talagrand
Affiliation:
Equipe d'Analyse, Town 46, 4e étage, Université PARIS VI, 4 Place Jussieu, 75230 PARIS cedex 05
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Extract

Suppose that X is a set, and E a Riesz subspace of ℝx. Let f : E → ℝ be an increasing linear functional which is smooth in the sense of [1, 72C]; i.e.

Type
Research Article
Information
Mathematika , Volume 25 , Issue 2 , December 1978 , pp. 213 - 215
Copyright
Copyright © University College London 1978

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References

1.Fremlin, D. H.. Topological Riesz Spaces and Measure Theory (Cambridge, U.P., 1974).CrossRefGoogle Scholar