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https://doi.org/10.1016/j.aim.2021.107679
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Campo DC | Valor | Lengua/Idioma |
---|---|---|
dc.contributor.author | Raja Baño, Matías | - |
dc.contributor.author | García-Lirola, Luis Carlos | - |
dc.contributor.other | Facultades, Departamentos, Servicios y Escuelas::Facultades de la UMU::Facultad de Matemáticas | es |
dc.contributor.other | Facultades, Departamentos, Servicios y Escuelas::Departamentos de la UMU::Matemáticas | es |
dc.date.accessioned | 2024-02-20T08:03:52Z | - |
dc.date.available | 2024-02-20T08:03:52Z | - |
dc.date.issued | 2021 | - |
dc.identifier.citation | Advances in Mathematics 383 (2021) 107679 | es |
dc.identifier.issn | 0001-8708 | - |
dc.identifier.uri | http://hdl.handle.net/10201/139542 | - |
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.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 |
dc.identifier.doi | https://doi.org/10.1016/j.aim.2021.107679 | - |
Aparece en las colecciones: | Artículos: Matemáticas |
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