|
Título:
|
Characterizations of inner product spaces by means of norm one points
|
|
Autores:
|
Mendoza Casas, José ;
Pakhrou, Tijani
|
|
Tipo de documento:
|
texto impreso
|
|
Editorial:
|
Matematisk Institut, Universitetsparken NY Munkegade, 2005
|
|
Dimensiones:
|
application/pdf
|
|
Nota general:
|
info:eu-repo/semantics/restrictedAccess
|
|
Idiomas:
|
|
|
Palabras clave:
|
Estado = Publicado
,
Materia = Ciencias: Matemáticas: Análisis funcional y teoría de operadores
,
Tipo = Artículo
|
|
Resumen:
|
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.
|
|
En línea:
|
https://eprints.ucm.es/id/eprint/16864/1/Mendoza05.pdf
|
