On the uniform closure of a linear space of bounded real-valued functions

DOI10.1007/BF01773506zbMath0539.54007OpenAlexW1990535073MaRDI QIDQ794011

Aníbal Moltó, José L. Blasco

Publication date: 1983

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01773506

zbMATH Keywords

zero setStone-Weierstrass theoremHausdorff compactificationalgebra of all bounded real-valued functionsS-separationuniform density of a linear subspace

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Subspaces in general topology (54B05) Algebraic properties of function spaces in general topology (54C40) Banach spaces of continuous, differentiable or analytic functions (46E15) Real-valued functions in general topology (54C30)

Related Items (4)

Semilattices and lattices of bounded continuous functions ⋮ Uniform approximation theorems for real-valued continuous functions ⋮ Representation and approximation by series of continuous functions ⋮ Stone-Weierstrass theorems in \(C^*(X)\)

Cites Work

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• Certain generalizations of the Weierstrass approximation theorem
• Concrete representation of abstract (M)-spaces. (A characterization of the space of continuous functions.)
• Approximation of Real Continuous Functions of Lindelof Spaces
• Applications of the Theory of Boolean Rings to General Topology

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