Weierstrass-Stone theorems for set-valued mappings

DOI10.1016/0021-9045(82)90066-1zbMath0493.41042OpenAlexW1990605453MaRDI QIDQ1168528

João B. Prolla, Silvio Machodo

Publication date: 1982

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(82)90066-1

zbMATH Keywords

Chebyshev radiusapproximation of set-valued mappingsWeierstrass-Stone subspaces

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Banach spaces of continuous, differentiable or analytic functions (46E15) Simultaneous approximation (41A28)

Related Items (6)

An application of the Stone-Weierstrass theorem ⋮ New results in the theory of multivalued mappings. I: Topological characteristics and solvability of operator relations ⋮ A methodology for the constructive approximation of nonlinear operators defined on noncompact sets ⋮ A note on a Stone-Weierstrass type theorem for set-valued mappings ⋮ Unnamed Item ⋮ A note on Machado-Bishop theorem in weighted spaces with applications

Cites Work

• Weighted approximation for algebras and modules of continuous functions. Real and self-adjoint complex cases
• Approximation properties of vector valued functions
• Approximation of set-valued functions by continuous functions
• Grothendieck spaces in approximation theory
• Unnamed Item

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