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Approximation properties of sets with bounded complements
Published online by Cambridge University Press: 14 November 2011
Synopsis
Given a Banach space X, we investigate the behaviour of the metric projection PF onto a subset F with a bounded complement.
We highlight the special role of points at which d(x, F) attains a maximum. In particular, we consider the case of X as a Hilbert space: this case is related to the famous problem of the convexity of Chebyshev sets.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 89 , Issue 1-2 , 1981 , pp. 75 - 86
- Copyright
- Copyright © Royal Society of Edinburgh 1981
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