We consider ordered cones of continuous cone-valued functions on a locally compact Hausdorff space, endowed with appropriate locally convex topologies. Using suitable sets of such functions as test systems a Korovkin type approximation theorem for equicontinuous nets of positive operators is established. As in the classical theory, convergence is characterized both through envelopes for functions and through measure theoretical conditions.
Positivity – Springer Journals
Published: Jun 4, 2016
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