Uniformly convex renormings and generalized cotypes

Raja Baño, Matías; García-Lirola, Luis Carlos

Publication:
Uniformly convex renormings and generalized cotypes

dc.contributor.author	Raja Baño, Matías
dc.contributor.author	García-Lirola, Luis Carlos
dc.contributor.department	Matemáticas
dc.date.accessioned	2024-02-20T08:03:52Z
dc.date.available	2024-02-20T08:03:52Z
dc.date.issued	2021
dc.description	Acceso restringido
dc.description.abstract	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.	es
dc.format	application/pdf	es
dc.format.extent	23	es
dc.identifier.citation	Advances in Mathematics 383 (2021) 107679
dc.identifier.doi	https://doi.org/10.1016/j.aim.2021.107679
dc.identifier.issn	0001-8708
dc.identifier.uri	http://hdl.handle.net/10201/139542
dc.language	eng	es
dc.publisher	Elsevier
dc.relation	This work was supported by the Grants of Ministerio de Economía, Industria y Competitividad MTM2017-83262-C2-2-P; and Fundación Séneca Región de Murcia 20906/PI/18. The first author is also supported by a postdoctoral grant from Fundación Séneca.	es
dc.rights	info:eu-repo/semantics/openAccess	es
dc.subject	Super-reflexive Banach space	en
dc.subject	Uniform convexity	en
dc.subject	Renorming	en
dc.subject	Cotype	en
dc.subject	UMD space	en
dc.subject.other	CDU::5 - Ciencias puras y naturales::51 - Matemáticas::517 - Análisis	es
dc.title	Uniformly convex renormings and generalized cotypes	es
dc.type	info:eu-repo/semantics/article	es
dspace.entity.type	Publication	es