A relationship between the 1\(\frac12\)-ball property and the strong 1\(\frac12\)-ball property

DOI10.1016/0021-9045(89)90048-8zbMath0679.46014OpenAlexW2082609753MaRDI QIDQ1822725

Sung-Ho Park

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-9045(89)90048-8

zbMATH Keywords

property Sintersection properties of ballsproximinal setsstrong 1\(\frac12\)-ball property

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 (1)

Uniform Hausdorff strong uniqueness

Cites Work

• Strong uniqueness and Lipschitz continuity of metric projections: A generalization of the classical Haar theory
• Approximation by certain subspaces in the Banach space of continuous vector-valued functions
• A remark on the lower semi-continuity of the set-valued metric projection
• On the lower semicontinuity of the set-valued metric projection
• Lipschitz conditions on uniform approximation operators
• Continuous selections for metric projections
• Continuity of the set-valued metric projection
• A survey of metric selections
• The $n$-ball properties in real and complex Banach spaces.
• Intersection Properties of Balls and Subspaces in Banach Spaces
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