2026-06-07T01:37:46Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/500872023-08-27T12:44:14Zcom_20.500.14352_14col_20.500.14352_15

Asymptotic structure, l(p)-estimates of sequences, and compactness of multilinear mappings Dimant, V. Gonzalo, R. Jaramillo Aguado, Jesús Ángel 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. 2023-06-20T09:38:17Z 2023-06-20T09:38:17Z 2009 journal article 0022-247X 10.1112/blms/bdp077 https://hdl.handle.net/20.500.14352/50087 http://www.sciencedirect.com/science/article/pii/S0022247X08005143 http://www.sciencedirect.com/ eng MTM2006-03531 restricted access Academic Press- Elsevier Science