Maximum Boundaries for Cones of Continuous Functions on a Compact Space and Integral Representations for Linear Functionals

Foo Chui Chen; Walter Roth

doi:10.46537/scibru.v15i0.11

Foo Chui Chen Universiti Brunei Darussalam
Walter Roth Universiti Brunei Darussalam

DOI: https://doi.org/10.46537/scibru.v15i0.11

Abstract

We present a simplified and easily accessible approach to the integral representation for continuous linear functionals on a cone of continuous real-valued functions on a compact set. The measures defining these integrals are supported by the maximum boundary of the respective cones.

Author Biography

Walter Roth, Universiti Brunei Darussalam

Department of Mathematics

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