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Título:
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On denseness of certain norms in Banach spaces
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Autores:
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Jiménez Sevilla, María del Mar ;
Moreno, José Pedro
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Tipo de documento:
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texto impreso
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Editorial:
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Cambridge University Press, 1996
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Geometría diferencial
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Tipo = Artículo
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Resumen:
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We give several results dealing with denseness of certain classes of norms with many vertex points. We prove that, in Banach spaces with the Mazur or the weak* Mazur intersection property, every ball (convex body) can be uniformly approximated by balls (convex bodies) being the closed convex hull of their strongly vertex points. We also prove that given a countable set F, every norm can be uniformly approximated by norms which are locally linear at each point of F.
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En línea:
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https://eprints.ucm.es/id/eprint/22698/1/Jimenez25.pdf
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