Biduality and density in Lipschitz function spaces
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Campo DC | Valor | Idioma |
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dc.contributor | Curvas Alpha-Densas. Análisis y Geometría Local | es_ES |
dc.contributor.author | Jiménez Vargas, Antonio | - |
dc.contributor.author | Sepulcre, Juan Matias | - |
dc.contributor.author | Villegas Vallecillos, Moisés | - |
dc.contributor.other | Universidad de Alicante. Departamento de Matemáticas | es_ES |
dc.date.accessioned | 2018-02-12T11:44:43Z | - |
dc.date.available | 2018-02-12T11:44:43Z | - |
dc.date.issued | 2017 | - |
dc.identifier.citation | Mathematica Scandinavica. 2017, 121(1): 92-100. doi:10.7146/math.scand.a-25987 | es_ES |
dc.identifier.issn | 0025-5521 (Print) | - |
dc.identifier.issn | 1903-1807 (Online) | - |
dc.identifier.uri | http://hdl.handle.net/10045/73451 | - |
dc.description.abstract | For pointed compact metric spaces (X,d), we address the biduality problem as to when the space of Lipschitz functions Lip0(X,d) is isometrically isomorphic to the bidual of the space of little Lipschitz functions lip0(X,d), and show that this is the case whenever the closed unit ball of lip0(X,d) is dense in the closed unit ball of Lip0(X,d) with respect to the topology of pointwise convergence. Then we apply our density criterion to prove in an alternative way the real version of a classical result which asserts that Lip0(X,dα) is isometrically isomorphic to lip0(X,dα)∗∗ for any α∈(0,1). | es_ES |
dc.description.sponsorship | This research was partially supported by MICINN under project MTM 2010-17687. | es_ES |
dc.language | eng | es_ES |
dc.publisher | Mathematica Scandinavica | es_ES |
dc.rights | © Mathematica Scandinavica | es_ES |
dc.subject | Lipschitz function | es_ES |
dc.subject | Little Lipschitz function | es_ES |
dc.subject | Hölder function | es_ES |
dc.subject | Lipschitz-free Banach space | es_ES |
dc.subject.other | Análisis Matemático | es_ES |
dc.title | Biduality and density in Lipschitz function spaces | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.peerreviewed | si | es_ES |
dc.identifier.doi | 10.7146/math.scand.a-25987 | - |
dc.relation.publisherversion | http://dx.doi.org/10.7146/math.scand.a-25987 | es_ES |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/MICINN//MTM2010-17687 | - |
Aparece en las colecciones: | INV - CADAGL - Artículos de Revistas INV - GAM - Artículos de Revistas |
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