Banach spaces antiproximinal in their biduals

DOI10.1016/0021-9045(86)90028-6zbMath0595.41034OpenAlexW2010616164MaRDI QIDQ1077653

Kenneth R. Davidson

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-9045(86)90028-6

zbMATH Keywords

Banach spacesSchauder basisantiproximinalproximinal

Mathematics Subject Classification ID

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

Related Items

Banach spaces not antiproximinal in their second dual

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Continuous selections. I
• An operator on \(L^ p\) without best compact approximation
• Approximation by compact operators on certain Banach spaces
• A decomposition for B(X)\(^*\) and unique Hahn-Banach extensions
• The disc algebra is not an existence subspace of its bidual
• Spaces of mappings as sequence spaces