On some generalizations of the Kakutani-Stone and Stone-Weierstrass theorems

DOI10.1007/BF01874642zbMath0797.54028MaRDI QIDQ1324760

M. Isabel Garrido, Francisco Montalvo

Publication date: 19 October 1994

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/39942

zbMATH Keywords

uniform approximationStone-Weierstrass theoremuniform closureuniform density theorem

Mathematics Subject Classification ID

(C)- and (C^*)-embedding (54C45) Real-valued functions in general topology (54C30)

Related Items (5)

Semilattices and lattices of bounded continuous functions ⋮ Elementary approach to homogeneous \(C^*\)-algebras ⋮ \(C(X)\)-objects in the category of semi-affine lattices ⋮ Generation of uniformly closed algebras of functions ⋮ Stone-Weierstrass theorems in \(C^*(X)\)

Cites Work

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• Allgemeine Approximationskriterien mit Anwendungen
• Hausdorff compactifications and Lebesgue sets
• Certain generalizations of the Weierstrass approximation theorem
• Concrete representation of abstract (M)-spaces. (A characterization of the space of continuous functions.)
• On approximation theorems for uniform spaces
• Applications of the Theory of Boolean Rings to General Topology

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