Representers of linear functionals, norm-attaining functionals, and best approximation by cones and linear varieties in inner product spaces

DOI10.1016/0021-9045(82)90042-9zbMath0501.41022OpenAlexW2025765168MaRDI QIDQ1172225

Frank Deutsch

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)90042-9

zbMATH Keywords

inner product spaceChebyshev setRiesz representer

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Linear function spaces and their duals (46E99) Inner product spaces and their generalizations, Hilbert spaces (46C99)

Related Items (4)

On transitivity of proximinality ⋮ Proximinality in subspaces of \(c_0\) ⋮ The method of subspace corrections ⋮ Strong subdifferentiability of convex functionals and proximinality

Cites Work

• On the existence of extremal projections
• A proof that every Banach space is subreflexive
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