Abstract

We consider spaces of continuous vector-valued functions on a locally compact Hausdorff space X, endowed with suitable locally convex topologies. Using a family of sets of such functions an order on the dual of the function space is defined. This order yields minimal elements which as in classical Choquet theory can be characterized in terms of a subset (Choquet boundary) of X, thus providing information about the support of their representation measures.

Author information

Contact details are reproduced from the original publication and may be historical.

Walter Roth

Dept. of Mathematics, Universiti Brunei Darussalam, Gadong BE1410, Brunei Darussalam

walter.roth@ubd.edu.bn

Keywords

  • Vector-valued functions
  • integral representation

Mathematics Subject Classification

46A22, 46A03, 46A20

References

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Suggested citation

W. Roth. “Choquet Theory for Vector-Valued Functions on a Locally Compact Space.” Journal of Convex Analysis 21 (2014), No. 4, 1141–1164. https://doi.org/10.68381/jca21060

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Published by Heldermann Verlag, 2014. Rights now held by Banach Press LLC.