Glasgow Mathematical Journal



Comonotonic additive operators and their representations


Heinz J. Skala a1
a1 Hohefeld 18, 33100 Paderborn-Dahl, Germany

Abstract

In a recent illuminating paper, June M. Parker [5] discussed Choquet integral representations of comonotonic additive functionals and related concepts. In our paper we provide a generalization of the Choquet integral and use this to obtain an integral representation for comonotonic additive operators.

(Received June 13 1997)