Abstract
In a certain class of convex sets (including the subspaces of finite-codimension), a precise characterization is given of those convex sets which are Chebyshev.
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References
J. Blatter and E.W. Cheney, On the existence of extremal projections, J. Approximation Theory, 6(1972), 72–79.
F. Deutsch, Representers of linear functionals, norm-attaining functionals, and best approximation by cones and linear varieties in inner product spaces, J. Approximation Theory, to appear.
W. Pollul, Reflexivitat und Existenz-Tielralime in der linearen Approximationstheorie, Dissertation, Bonn, 1972.
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© 1982 Birkhäuser Verlag Basel
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Deutsch, F. (1982). Which Closed Convex Subsets of an Inner Product Space are Chebyshev?. In: Schempp, W., Zeller, K. (eds) Multivariate Approximation Theory II. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 61. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7189-1_10
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DOI: https://doi.org/10.1007/978-3-0348-7189-1_10
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-7191-4
Online ISBN: 978-3-0348-7189-1
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