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Título:
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Geometry of Banach spaces with property ?
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Autores:
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Granero, A. S. ;
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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Hebrew University Magnes Press, 1999-12
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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: Álgebra
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Tipo = Artículo
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Resumen:
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We prove that every Banach space can be isometrically and 1-complementably embedded into a Banach space which satisfies property ? and has the same character of density. Then we show that, nevertheless, property ? satisfies a hereditary property. We study strong subdifferentiability of norms with property ? to characterize separable polyhedral Banach spaces as those admitting a strongly subdifferentiable ? norm. In general, a Banach space with such a norm is polyhedral. Finally, we provide examples of non-reflexive spaces whose usual norm fails property ? and yet it can be approximated by norms with this property, namely (L 1[0,1], ?·?1) and (C(K), ?·??) whereK is a separable Hausdorff compact space
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En línea:
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https://eprints.ucm.es/id/eprint/22290/1/Jimenez19.pdf
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