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Characterizations of inner product spaces by means of norm one points



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Mendoza Casas, José y Pakhrou, Tijani (2005) Characterizations of inner product spaces by means of norm one points. Mathematica Scandinavica, 97 (1). pp. 104-114. ISSN 0025-5521

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URL Oficial: http://www.mscand.dk/article.php?id=2869

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Let X be a a real normed linear space of dimension at least three, with unit sphere S-X. In this paper we prove that X is an inner product space if and only if every three point subset of S-X has a Chebyshev center in its convex hull. We also give other characterizations expressed in terms of centers of three point subsets of S-X only. We use in these characterizations Chebyshev centers as well as Fermat centers and p-centers.

Tipo de documento:Artículo
Palabras clave:Chebyshev centers; characterizations of inner product spaces
Materias:Ciencias > Matemáticas > Análisis funcional y teoría de operadores
Código ID:16864
Depositado:25 Oct 2012 08:38
Última Modificación:07 Feb 2014 09:37

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