Ball proximinality of equable spaces

DOI10.1007/BF03191217zbMath1184.46015MaRDI QIDQ1022276

S. Lalithambigai

Publication date: 10 June 2009

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/42151

zbMATH Keywords

metric projectionproximinal subspacesball proximinal subspacesequability

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)

Related Items (8)

Strong ball proximinality of the space of compact operators ⋮ Strong ball proximinality and continuity of metric projection in \(L_1\)-predual 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 ⋮ Survey of last ten years of work done in India in some selected areas of functional analysis and operator theory

Cites Work

• Unnamed Item
• Unnamed Item
• \(M\)-ideals in Banach spaces and Banach algebras
• Some remarks on proximinality in higher dual spaces
• Best simultaneous of bounded functions with values in certain Banach spaces
• Approximation by continuous vector valued functions
• Best approximation and intersections of balls in Banach spaces
• On the proximinality of the unit ball of proximinal subspaces in Banach spaces: A counterexample
• Approximation of set-valued functions by continuous functions
• Grothendieck spaces in approximation theory
• Strong proximinality and polyhedral spaces

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