The Uniform Closure of Convex Semi-Lattices

João B. Prolla
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João B. Prolla: IMECC - UNICAMP

A chapter in Approximation, Probability, and Related Fields, 1994, pp 413-421 from Springer

Abstract: Abstract Let X be a compact Hausdorff space, and let C(X IR) be the Banach lattice of all continuous real-valued functions on X with the sup-norm and pointwise ordering. We describe the uniform closure of convex (resp. convex conic) semi-lattices, i.e. inflattices and sup-lattices. Our result is an improvement on the classical Choquet-Deny Theorem.

Date: 1994
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DOI: 10.1007/978-1-4615-2494-6_32

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