Antiproximinal norms in Banach spaces
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Publication:1604400
DOI10.1006/jath.2001.3636zbMath1037.46012OpenAlexW2054281510WikidataQ56935765 ScholiaQ56935765MaRDI QIDQ1604400
Jonathan M. Borwein, José Pedro Moreno, Mar Jiménez-Sevilla
Publication date: 4 July 2002
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/9c421ea03cf261316447cdf8948afacb54a71ee4
Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)
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Cites Work
- Antiproximinal sets in spaces of continuous functions on compacta
- Differentiability of convex functions and the convex point of continuity property in Banach spaces
- Fréchet differentiable norms on spaces of countable dimension
- Convex antiproximinal sets in spaces \(c_0\) and \(c\)
- Analytic and polyhedral approximation of convex bodies in separable polyhedral Banach spaces
- The relationship between Goldstine's theorem and the convex point of continuity property
- Antiproximinal sets in spaces of continuous functions
- Antiproximal sets
- Geometric aspects of convex sets with the Radon-Nikodym property
- On geometry of Banach spaces with property \(\alpha\)
- Some results on nearest points and support properties of convex sets in \(c_ 0\)
- Counterexamples Concerning Support Theorems for Convex Sets in Hilbert Space
- A Counterexample to a Problem on Points of Continuity in Banach Spaces
- Balls intersection properties of Banach spaces
- A note on norm attaining functionals
- Mazur Intersection Properties and Differentiability of Convex Functions in Banach Spaces
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