Subspaces of finite codimension: The existence of elements of best approximation

DOI10.1007/BF01652513zbMath0572.46012OpenAlexW2092535465MaRDI QIDQ1062243

L. P. Vlasov

Publication date: 1985

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01652513

zbMATH Keywords

proximal finite-codimensional subspaces of a Banach space

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Geometry and structure of normed linear spaces (46B20)

Related Items (5)

The existence of elements of best approximation in the complex space C(Q) ⋮ Existence of best approximation elements in \(C(Q, X)\) ⋮ Proximinal subspaces of \(C(\mathcal Q)\) of finite codimension ⋮ Strong subdifferentiability of convex functionals and proximinality ⋮ Proximinal subspaces of finite codimension in direct sum spaces

Cites Work

• Elements of best approximation relative to subspaces of finite codimension
• On the existence of extremal projections
• Cebysev subspaces of finite codimension in \(C(X)\)
• Convex Analysis
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