Uniform separation of points and measures and representation by sums of algebras

DOI10.1007/BF02765032zbMath0628.46017OpenAlexW1994566194MaRDI QIDQ1093133

Yaki Sternfeld

Publication date: 1986

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02765032

zbMATH Keywords

measure separating familypurely atomic measuresuniform separation of points

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Spaces of measures (46E27)

Related Items (7)

Geometry of good sets in \(n\)-fold Cartesian product ⋮ On the representation by sums of algebras of continuous functions ⋮ When is \(f(x_1,x_1,\dots,x_n)= u_1(x_1)+ u_2(x_2)+\cdots+ u_n(x_n)\)? ⋮ On the representation by linear superpositions ⋮ A Chebyshev-type alternation theorem for best approximation by a sum of two algebras ⋮ Approximation by sums of ridge functions with fixed directions ⋮ A note on the representation of continuous functions by linear superpositions

Cites Work

• Approximation by a sum of two algebras. The lightning bolt principle
• Superpositions of continuous functions
• Uniformly separating families of functions
• Dimension of metric spaces and Hilbert’s problem 13
• Unnamed Item

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