On the proximinality of the unit ball of proximinal subspaces in Banach spaces: A counterexample

DOI10.1090/S0002-9939-05-08152-9zbMath1071.41033WikidataQ124804057 ScholiaQ124804057MaRDI QIDQ4674770

Fathi B. Saidi

Publication date: 18 May 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Banach spacebest approximationrenormingproximinality

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Uniqueness of best approximation (41A52)

Related Items (13)

Some equivalent conditions of proximinality in nonreflexive Banach spaces ⋮ Strong ball proximinality and continuity of metric projection in \(L_1\)-predual spaces ⋮ Unnamed Item ⋮ Ball proximinal and strongly ball proximinal hyperplanes ⋮ Proximinality and renormings: some new examples ⋮ Proximinal faces of some Banach spaces ⋮ Stability of ball proximinality ⋮ E-proximinal subspaces ⋮ Various notions of best approximation property in spaces of Bochner integrable functions ⋮ Unnamed Item ⋮ A remark on the stability of approximative compactness ⋮ Ball proximinality of equable spaces ⋮ Ball proximinality of 𝑀-ideals of compact operators

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