Mathematika

Table of Contents - July 2012 - Volume 58, Issue 02  

Research Article

ON THE MARGINALS OF PROBABILITY CONTENTS ON LATTICES

Heinz Königa1

a1 Fakultät für Mathematik und Informatik, Universität des Saarlandes, D-66041 Saarbrücken, Germany (email: hkoenig@math.uni-sb.de)

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.

(Received May 23 2011)

(Online publication February 06 2012)

MSC (2010)

  • 28A12 (primary)