Abstract
In Theorem 3.5 we saw that every closed convex subset of a Hilbert space is a Chebyshev set. In this chapter we will study the converse problem of whether or not every Chebyshev subset of a Hilbert space must be convex.
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© 2001 Springer-Verlag New York, Inc.
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Deutsch, F. (2001). Convexity of Chebyshev Sets. In: Best Approximation in Inner Product Spaces. CMS Books in Mathematics / Ouvrages de mathématiques de la SMC. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-9298-9_12
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DOI: https://doi.org/10.1007/978-1-4684-9298-9_12
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-2890-0
Online ISBN: 978-1-4684-9298-9
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