RT Journal Article
T1 Asymptotic structure, l(p)-estimates of sequences, and compactness of multilinear mappings
A1 Dimant, V.
A1 Gonzalo, R.
A1 Jaramillo Aguado, Jesús Ángel
AB 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.
PB Academic Press- Elsevier Science
SN 0022-247X
YR 2009
FD 2009
LK https://hdl.handle.net/20.500.14352/50087
UL https://hdl.handle.net/20.500.14352/50087
LA eng
NO D.G.I. (Spain)
DS Docta Complutense
RD 8 abr 2025