TY - JOUR AU - Dimant, V. AU - Gonzalo, R. AU - Jaramillo Aguado, Jesús Ángel PY - 2009 DO - 10.1112/blms/bdp077 SN - 0022-247X UR - https://hdl.handle.net/20.500.14352/50087 T2 - Journal of Mathematical Analysis and Applications 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... LA - eng M2 - 680 PB - Academic Press- Elsevier Science KW - Banach spaces KW - Asymptotic structure KW - Multilinear operators KW - Polynomials TI - Asymptotic structure, l(p)-estimates of sequences, and compactness of multilinear mappings TY - journal article VL - 350 ER -