Some geometric properties of relative Chebyshev centres in Banach spaces

DOI10.1090/conm/737/14859zbMath1441.46007OpenAlexW2979796911MaRDI QIDQ5208817

Soumitra Daptari, Tanmoy Paul

Publication date: 22 January 2020

Published in: Recent Trends in Operator Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/737/14859

zbMATH Keywords

\(1\frac{1}{2}\) ball propertyproperty \(R_1\)upper Hausdorff semi-continuity

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Isometric theory of Banach spaces (46B04) Banach spaces of continuous, differentiable or analytic functions (46E15)

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Cites Work

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• Approximation by certain subspaces in the Banach space of continuous vector-valued functions
• Relative Chebyshev centers in normed linear spaces. I
• On restricted centers of sets
• Chebyshev centers and uniform convexity
• Strongly proximinal subspaces of finite codimension in C(K)
• The two‐ball property: transitivity and examples
• The $n$-ball properties in real and complex Banach spaces.
• Existence of Chebyshev Centers, Best n-Nets and Best Compact Approximants
• Restricted Centers in C(Ω)
• Best approximation and intersections of balls in Banach spaces
• Strong proximinality and polyhedral spaces

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