Strong proximinality of exposed faces of \(C_0(T)\)

DOI10.1007/s41478-023-00616-0MaRDI QIDQ6118986

Unnamed Author, N. Prakash

Publication date: 21 March 2024

Published in: The Journal of Analysis (Search for Journal in Brave)

zbMATH Keywords

strongly proximinalexposed facenorm attaining functionalproximinalHausdorff metric continuity

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

• Strong ball proximinality and continuity of metric projection in \(L_1\)-predual spaces
• Ball proximinal and strongly ball proximinal hyperplanes
• Continuous selections. I
• Bounded continuous functions on a locally compact space
• Tietze extensions and continuous selections for metric projections
• Best approximative properties of exposed faces of \(l_1\)
• Proximinality in subspaces of \(c_0\)
• Strong proximinality of closed convex sets
• Minimal extremal subsets of the unit sphere
• Selected Selection Theorems
• Proximinal Subspaces of Finite Codimesion in General Normed Linear Spaces
• Local Uniform Strong Proximinality of the Space of Continuous Vector-Valued Functions
• Strong proximinality and polyhedral spaces
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