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An example of nonexistence of a Steiner point in a Banach space

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Publication:1957080
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DOI10.1134/S0001434610030260zbMath1211.46005OpenAlexW2037263096MaRDI QIDQ1957080

P. A. Borodin

Publication date: 24 September 2010

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434610030260


zbMATH Keywords

reflexive spaceHilbert spaceBanach spaceSteiner point


Mathematics Subject Classification ID

Isometric theory of Banach spaces (46B04) Linear function spaces and their duals (46E99)


Related Items (9)

Existence of Lipschitz selections of the Steiner map ⋮ On the existence of shortest networks in Banach spaces ⋮ Classification of metric spaces whose Steiner-Gromov ratio is equal to one ⋮ Banach spaces with shortest network length depending only on pairwise distances between points ⋮ Steiner points in the space of continuous functions ⋮ Chebyshev centres, Jung constants, and their applications ⋮ Steiner problem in the Gromov-Hausdorff space: the case of finite metric spaces ⋮ A continuity criterion for Steiner-type ratios in the Gromov-Hausdorff space ⋮ Estimates of Steiner subratio and Steiner-Gromov ratio



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