Location problem and inner product spaces
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http://hdl.handle.net/10045/135767
Full metadata record
DC Field | Value | Language |
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dc.contributor | Curvas Alpha-Densas. Análisis y Geometría Local | es_ES |
dc.contributor.author | Pakhrou, Tijani | - |
dc.contributor.other | Universidad de Alicante. Departamento de Matemáticas | es_ES |
dc.date.accessioned | 2023-07-05T07:31:21Z | - |
dc.date.available | 2023-07-05T07:31:21Z | - |
dc.date.issued | 2023-07-04 | - |
dc.identifier.citation | Journal of Functional Analysis. 2023, 285(8): 110078. https://doi.org/10.1016/j.jfa.2023.110078 | es_ES |
dc.identifier.issn | 0022-1236 (Print) | - |
dc.identifier.issn | 1096-0783 (Online) | - |
dc.identifier.uri | http://hdl.handle.net/10045/135767 | - |
dc.description.abstract | In this work we solve a problem that has been open for more than 110 years (see [21]). We prove that a real normed space (X, || · ||) of dimension greater than or equal to three is an inner product space if and only if, for every three points a1, a2, a3 ∈ X, the set of points at which the function x ∈ X → γ(||x − a1||, ||x − a2||, ||x − a3||) attains its minimum, intersects the convex hull of these three points, where γ is a symmetric monotone norm on R3. | es_ES |
dc.language | eng | es_ES |
dc.publisher | Elsevier | es_ES |
dc.rights | © 2023 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). | es_ES |
dc.subject | Optimal location | es_ES |
dc.subject | Chebyshev centers | es_ES |
dc.subject | Medians | es_ES |
dc.subject | Inner product spaces | es_ES |
dc.title | Location problem and inner product spaces | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.peerreviewed | si | es_ES |
dc.identifier.doi | 10.1016/j.jfa.2023.110078 | - |
dc.relation.publisherversion | https://doi.org/10.1016/j.jfa.2023.110078 | es_ES |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es_ES |
Appears in Collections: | INV - CADAGL - Artículos de Revistas INV - GAM - Artículos de Revistas |
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File | Description | Size | Format | |
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Pakhrou_2023_JFunctAnal.pdf | 383,85 kB | Adobe PDF | Open Preview | |
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