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ON THE MARGINALS OF PROBABILITY CONTENTS ON LATTICES

Published online by Cambridge University Press:  06 February 2012

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.

Type
Research Article
Copyright
Copyright © University College London 2012

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References

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