Semilattices and lattices of bounded continuous functions

DOI10.1016/0898-1221(95)00095-XzbMath0833.41029OpenAlexW1981964761MaRDI QIDQ1904169

João B. Prolla

Publication date: 18 December 1995

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(95)00095-x

zbMATH Keywords

semilatticesbounded functionsChoquet-Denjoy approximationKakutani-Stone approximation

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Cites Work

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• Ensembles sémi-réticulés et ensembles réticulés de fonctions continues
• On the uniform closure of a linear space of bounded real-valued functions
• Uniform approximation theorems for real-valued continuous functions
• On some generalizations of the Kakutani-Stone and Stone-Weierstrass theorems
• Certain generalizations of the Weierstrass approximation theorem
• A Stone-Weierstrass Theorem Without Closure Under Suprema
• Density of Infimum-Stable Convex Cones
• Semi-Algebras of Continuous Functions