Abstract
Let H be a real inner product space with inner product <.,.>. For any subset K of H the metric projection PK:H → P(K) is monotone, i.e., for any (x,k), (x’,k’) ∈PK < k-k’,x-x’ > ≥ 0. This property is used to characterize closed convex sets in Hilbert space.
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© 1978 Birkhäuser Verlag Basel
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Berens, H., Westphal, U. (1978). Kodissipative Metrische Projektionen in Normierten Linearen Räumen. In: Butzer, P.L., Szökefalvi-Nagy, B. (eds) Linear Spaces and Approximation / Lineare Räume und Approximation. International Series of Numerical Mathematics / Intermationale Schriftenreihe zur Numberischen Mathematik / Sùrie Internationale D’analyse Numùruque, vol 40. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7180-8_12
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DOI: https://doi.org/10.1007/978-3-0348-7180-8_12
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