Convex antiproximinal sets in spaces \(c_0\) and \(c\)

DOI10.1007/BF01149018zbMath0327.41030OpenAlexW1992806902MaRDI QIDQ1226249

S. Kobzas

Publication date: 1975

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01149018

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (4)

Example of an antiproximinal, but not a 2-antiproximinal convex closed bounded body. ⋮ Antiproximinal sets in Banach spaces of continuous vector-valued functions ⋮ Antiproximinal norms in Banach spaces ⋮ The \(n\)-antiproximinal sets

Cites Work

• Unnamed Item
• Some results on nearest points and support properties of convex sets in \(c_ 0\)
• A course on optimization and best approximation
• A NOTE ON NEAREST POINTS

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