Chebyshev centers and some geometric properties of Banach spaces
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Publication:504909
DOI10.1016/j.jmaa.2016.12.026zbMath1367.46015OpenAlexW2567226646MaRDI QIDQ504909
Publication date: 17 January 2017
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.12.026
Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)
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Cites Work
- Convexity and well-posed problems
- Approximation by certain subspaces in the Banach space of continuous vector-valued functions
- Relative Chebyshev centers in normed linear spaces. I
- Continuity properties of Chebyshev centers
- On restricted centers of sets
- A generalization of local uniform convexity of the norm
- Chebyshev centers and uniform convexity
- Compactly uniformly convex spaces and property \((\beta)\) of Rolewicz
- Strong proximinality of closed convex sets
- Continuous Selections and Approximate Selection for Set-Valued Mappings and Applications to Metric Projections
- Existence of Chebyshev Centers, Best n-Nets and Best Compact Approximants
- An Introduction to Banach Space Theory
- Convergence of Slices, Geometric Aspects in Banach Spaces and Proximinality
- The best possible net and the best possible cross-section of a set in a normed space
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