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Descripción
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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 p-estimates of sequences in the space. To this end, we introduce two properties which are related to the (mp)-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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Internacional
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Si |
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JCR del ISI
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Si |
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Título de la revista
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JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS |
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ISSN
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0022-247X |
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Factor de impacto JCR
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1,046 |
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Información de impacto
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Volumen
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DOI
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doi:10.1016/j.jmaa.2008.05.046 |
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Número de revista
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350 |
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Desde la página
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680 |
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Hasta la página
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693 |
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Mes
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ENERO |
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Ranking
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