Unique continuous selections for metric projections of C(X) onto finite- dimensional vector subspaces

DOI10.1016/0021-9045(90)90004-AzbMath0701.41046OpenAlexW1976953472MaRDI QIDQ914098

Joerg Blatter

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0021-9045(90)90004-a

zbMATH Keywords

almost Chebyshev subspacesChebyshev subspaces Gk-Chebyshev subspacesMairhuber's theorem

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (2)

The almost chebyshev property in linear semi-infinite programming ⋮ Unique continuous selections for metric projections of \(C(X)\) onto finite-dimensional vector subspaces. II

Cites Work

• \(n\)-parameter families and best approximation
• On the unicity of solutions of problems of best approximations
• Continuous selections and maximal alternators for spline approximation
• The set of continuous selections of a metric projection in C(X)
• Order compactifications of totally ordered topological spaces
• The character space of the algebra of regulated functions
• An extension to Mairhuber's theorem. On metric projections and discontinuity of multivariate best uniform approximation
• Continuous selections for metric projections
• On continuous selections for metric projections in spaces of continuous functions
• On Haar's Theorem Concerning Chebychev Approximation Problems Having Unique Solutions
• Weakly interpolating subspaces
• Interposition and Lattice Cones of Functions
• On Čebyšev and almost Čebyšev subspaces
• Almost Čebyšev systems of continuous functions
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