Author:
Franchetti C.,Papini P. L.
Abstract
SynopsisGiven 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.
Publisher
Cambridge University Press (CUP)
Reference8 articles.
1. Sheltered points in normed spaces
2. Čebyšev sets in Hilbert spaces;Asplund;Trans. Amer. Math. Soc.,1969
Cited by
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