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ON THE MARGINALS OF PROBABILITY CONTENTS ON LATTICES

Part of: Classical measure theory

Published online by Cambridge University Press:  06 February 2012

Heinz König
Heinz König*
Affiliation:
Fakultät für Mathematik und Informatik, Universität des Saarlandes, D-66041 Saarbrücken, Germany (email: [email protected])
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Abstract

The paper extends the fundamental existence assertion for probability contents and measures with given marginals: the extension is from algebras to lattices, and thus is in accord with an actual trend in measure and integration. The proof of the basic theorem is a rapid application of a former Hahn–Banach type separation theorem.

MSC classification

Secondary: 28A12: Contents, measures, outer measures, capacities
Type
Research Article
Information
Mathematika , Volume 58 , Issue 2 , July 2012 , pp. 319 - 323
Copyright
Copyright © University College London 2012

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References

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[3]König, H., Measure and Integration, Springer (Berlin, 1997), reprint 2009.Google Scholar
[4]König, H., Upper envelopes of inner premeasures. Ann. Inst. Fourier 50(2) (2000), 401–422.Google Scholar
[5]Ramachandran, D., Perfect measures and related topics. In Handbook of Measure Theory (ed. Pap, E.), Elsevier (New York, 2002), 766–786.Google Scholar
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