Representation and approximation by series of continuous functions

DOI10.1007/S10474-008-8064-ZzbMath1265.54088OpenAlexW2065549478MaRDI QIDQ1046871

J. Blot

Publication date: 29 December 2009

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

Full work available at URL: http://hdl.handle.net/10234/19833

zbMATH Keywords

separationLindelöf spaceseparable metrizable spaceparacompact locally compact space\(S\)-separationapproximation by series of functionsLindelöf locally compact space

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Realcompactness and realcompactification (54D60) Algebraic properties of function spaces in general topology (54C40) Extension of maps (54C20) Real-valued functions in general topology (54C30) Rings and algebras of continuous, differentiable or analytic functions (46E25)

Related Items (1)

Approximation in different smoothness spaces with the RAFU method

Cites Work

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• On the uniform closure of a linear space of bounded real-valued functions
• Generation of the uniformly continuous functions.
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• 2-universally complete Riesz spaces and inverse-closed Riesz spaces
• An Elementary Proof of the Stone-Weierstrass Theorem
• On Inverse-Closed Subalgebras of C (X )^†
• An approximation technique for real-valued functions

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