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Topological measure spaces: two counter-examples

Published online by Cambridge University Press:  24 October 2008

D. H. Fremlin
Affiliation:
University of Essex

Extract

The ‘Radon measures’ of N. Bourbaki(1) enjoy many striking properties. Among the most important of these is the ‘strong Radon-Nikodým theorem’ that the dual of L1-(μ) can always be identified with L(μ) ((1), chap. 5, §5, no. 8, theorem 4). As this is certainly not true of non-σ-finite measures in general, it is natural to ask what are the special properties on which it relies.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1975

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References

REFERENCES

(1)Bourbaki, N.Éléments de mathématique, vol. VI (Intégration). (Hermann, 1965, 1967, 1969.)Google Scholar
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