150974 20251017144610.0 doi 10.1016/j.aim.2021.107679 sideral 123956 ART-2021-123956 eng García-Lirola, L.C. Universidad de Zaragoza (orcid)0000-0001-9211-4475 Uniformly convex renormings and generalized cotypes 2021 Access copy available to the general public Unrestricted We are concerned about improvements of the modulus of convexity by renormings of a super-reflexive Banach space. Typically optimal results are beyond Pisier''s power functions bounds tp, with p=2, and they are related to the notion of generalized cotype. We obtain an explicit upper bound for all the moduli of convexity of equivalent renormings and we show that if this bound is equivalent to t2, the best possible, then the space admits a renorming with modulus of power type 2. We show that a UMD space admits a renormings with modulus of convexity bigger, up to a multiplicative constant, than its cotype. We also prove the super-multiplicativity of the supremum of the set of cotypes. info:eu-repo/grantAgreement/ES/MINECO/ MTM2017-83262-C2-2-P info:eu-repo/semantics/openAccess by-nc-nd https://creativecommons.org/licenses/by-nc-nd/4.0/deed.es 1.675 2021 MATHEMATICS 59 / 333 = 0.177 2021 Q1 T1 1.935 2021 Mathematics (miscellaneous) 2021 Q1 2.6 2021 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Raja, M. 2006 015 Universidad de Zaragoza Dpto. Matemáticas Área Análisis Matemático 383 (2021), 107679 [23 pp.] Adv. math. Advances in Mathematics 0001-8708 447788 http://zaguan.unizar.es/record/150974/files/texto_completo.pdf Versión publicada 1265601 http://zaguan.unizar.es/record/150974/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:150974 articulos driver 2025-10-17-14:16:54 ARTICLE