A characterization of C(X) among algebras on planar sets by the existence of a finite universal Korovkin system

DOI10.1007/BF01457870zbMath0608.41022MaRDI QIDQ1086451

B. George

Publication date: 1987

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164278

zbMATH Keywords

uniform algebrauniversal Korovkin system

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Polynomial convexity, rational convexity, meromorphic convexity in several complex variables (32E20) Approximation by positive operators (41A36) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30) Algebras of holomorphic functions of several complex variables (32A38)

Related Items

Finite universal Korovkin systems in tensor products of commutative Banach algebras ⋮ A characterization of a class of locally compact abelian groups via Korovkin theory

Cites Work

• A minimal boundary for function algebras
• Korovkin approximation in Waelbroeck algebras
• Approximation and Abstract Boundaries
• A discrete integral representation for polynomials of fixed maximal degree and their universal Korovkin closure.
• The Slice Product of Function Algebras
• Constructive Techniques in Rational Approximation
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