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Asymptotic structure, l(p)-estimates of sequences, and compactness of multilinear mappings

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Dimant, V. y Gonzalo, R. y Jaramillo Aguado, Jesús Ángel (2009) Asymptotic structure, l(p)-estimates of sequences, and compactness of multilinear mappings. Journal of Mathematical Analysis and Applications, 350 (2). pp. 680-693. ISSN 0022-247X

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URL Oficial: http://www.sciencedirect.com/science/article/pii/S0022247X08005143


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Resumen

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.


Tipo de documento:Artículo
Palabras clave:Banach spaces; Asymptotic structure; Multilinear operators; Polynomials
Materias:Ciencias > Matemáticas > Análisis funcional y teoría de operadores
Código ID:16252
Depositado:10 Sep 2012 09:41
Última Modificación:07 Feb 2014 09:25

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