scientific article; zbMATH DE number 7546771

zbMath1501.46018MaRDI QIDQ5084079

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Publication date: 23 June 2022

Full work available at URL: https://pjm.ppu.edu/sites/default/files/papers/PJM_November_2021_524_to_530.pdf

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zbMATH Keywords

hyperplanesstrongly proximinalnorm attaining functionalproximinalball proximinal\(E\)-proximinal

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Cites Work

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• Strong ball proximinality and continuity of metric projection in \(L_1\)-predual spaces
• Ball proximinal and strongly ball proximinal hyperplanes
• Proximinality and renormings: some new examples
• E-proximinal subspaces
• On a Garkavi Type Theorem forM-Ideals of Finite Codimension
• On the proximinality of the unit ball of proximinal subspaces in Banach spaces: A counterexample
• Local Uniform Strong Proximinality of the Space of Continuous Vector-Valued Functions
• Strong proximinality and polyhedral spaces

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