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Título:
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Asymptotic structure, l(p)-estimates of sequences, and compactness of multilinear mappings
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Autores:
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Dimant, V. ;
Gonzalo, R. ;
Jaramillo Aguado, Jesús Ángel
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Tipo de documento:
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texto impreso
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Editorial:
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Academic Press- Elsevier Science, 2009
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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: Análisis funcional y teoría de operadores
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Tipo = Artículo
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Resumen:
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We relate the moduli of asymptotic uniform smoothness and convexity of a Banach space with the existence of upper and lower l(p)-estimates of sequences in the space. To this end, we introduce two properties which are related to the (m(p))-property defined by Kalton and Werner. In this way we obtain a connection between the moduli of asymptotic uniform smoothness and convexity, and compactness or weak-sequential continuity of multilinear mappings. Finally, we give some applications to the existence of analytic and asymptotically flat norms on a Banach space.
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En línea:
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https://eprints.ucm.es/id/eprint/16252/1/Jaramillo10.pdf
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