Korovkin-type theorems for positive functionals in spaces of continuous affine functions

DOI10.1007/BF02843736zbMath0681.46029MaRDI QIDQ1823425

Francesco Altomare

Publication date: 1987

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

zbMATH Keywords

Banach latticesconvex set\(C^*\)-algebrasnets of positive linear formsproblems of Korovkin-typespaces of continuous and affine functions defined on a compactspaces of continuous and affine functions defined on a compact convex set

Mathematics Subject Classification ID

Banach spaces of continuous, differentiable or analytic functions (46E15) Approximation by positive operators (41A36)

Related Items (3)

Positive linear forms and their determining subspaces ⋮ A characterization of the Korovkin closure with respect to functionals ⋮ Test closures of sets in Banach spaces generated by linear functionals

Cites Work

• Korovkin approximation of homomorphisms in involution algebras
• Korovkin sets in the space of continuous functions for operators of the class \(S^ 0_ m\)
• Korovkin sets for an operator on a space of continuous functions
• Chebyshev Subspaces and Convergence of Positive Linear Operators
• Convergence of Sequences of Linear Functionals
• MINKOWSKI DUALITY AND ITS APPLICATIONS
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