2026-06-07T01:37:50Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/500872023-08-27T12:44:14Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Dimant, V.
author
Gonzalo, R.
author
Jaramillo Aguado, Jesús Ángel
2023-06-20T09:38:17Z
2023-06-20T09:38:17Z
2009
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/
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.
eng
Asymptotic structure, l(p)-estimates of sequences, and compactness of multilinear mappings
journal article
URL
https://docta.ucm.es/bitstreams/29285e31-77f9-462c-b445-6ac9ecc9844b/download
File
MD5
cce024eb8e3c0c89c81ef54ad247535b
210433
application/pdf
Jaramillo10.pdf