A discrete integral representation for polynomials of fixed maximal degree and their universal Korovkin closure.

DOI10.1515/CRLL.1986.370.74zbMath0586.32002OpenAlexW251600012MaRDI QIDQ3712573

Michael Pannenberg

Publication date: 1986

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002203855

zbMATH Keywords

spectral radiusfunction algebrafunction spaceuniversal Korovkin closuresspectral contractioncomplex commutative unital Banach algebraintegral representation for polynomials of fixed degree

Mathematics Subject Classification ID

General theory of commutative topological algebras (46J05) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by positive operators (41A36) Entire functions of several complex variables (32A15) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items (5)

A characterization of C(X) among algebras on planar sets by the existence of a finite universal Korovkin system ⋮ A counterexample in Korovkin theory ⋮ Finite universal Korovkin systems in tensor products of commutative Banach algebras ⋮ Difference operators, distributions and functional equations ⋮ A characterization of a class of locally compact abelian groups via Korovkin theory

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