On existence subspaces in \(C(Q)\)

DOI10.1007/BF02743171zbMath0959.46013OpenAlexW2023657313MaRDI QIDQ1974363

G. M. Ustinov

Publication date: 20 April 2001

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

Full work available at URL: https://doi.org/10.1007/bf02743171

zbMATH Keywords

Lindenstrauss spaceChoquet simplexChebyshev subspaceexistence subspace

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Isometric theory of Banach spaces (46B04) Banach spaces of continuous, differentiable or analytic functions (46E15) Convex sets in topological linear spaces; Choquet theory (46A55)

Cites Work

• Continuity properties of Chebyshev centers
• Structure in simplexes. II
• Uniqueness of Hahn-Banach Extensions and Unique Best Approximation
• Spaces of Affine Continuous Functions on Simplexes
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