Show simple item record

dc.creatorAlbiac Alesanco, Fernando Josées_ES
dc.creatorAnsorena, José L.es_ES
dc.creatorCúth, Marekes_ES
dc.creatorDoucha, Michales_ES
dc.identifier.citationAlbiac, F.; Ansorena, J. L.; Cuth, M.; Doucha, M.. (2021). Lipschitz algebras and Lipschitz-Free spaces over unbounded metric spaces. International Mathematics Research Notices .en
dc.description.abstractWe investigate a way to turn an arbitrary (usually, unbounded) metric space M into a bounded metric space B in such a way that the corresponding Lipschitz-free spaces F(M) and F(B) are isomorphic. The construction we provide is functorial in a weak sense and has the advantage of being explicit. Apart from its intrinsic theoretical interest, it has many applications in that it allows to transfer many arguments valid for Lipschitz-free spaces over bounded spaces to Lipschitz-free spaces over unbounded spaces. Furthermore, we show that with a slightly modified pointwise multiplication, the space Lip(0)(M) of scalar-valued Lipschitz functions vanishing at zero over any (unbounded) pointed metric space is a Banach algebra with its canonical Lipschitz norm.en
dc.description.sponsorshipThis work was supported by the Spanish Ministry for Science and Innovation [PID2019-107701GBI00 for Operators, lattices, and structure of Banach spaces to F.A.]; the Spanish Ministry for Science, Innovation, and Universities [PGC2018-095366-B-I00 for Analisis Vectorial, Multilineal, y Aproximacion to F.A. and J.L.A.]; the Charles University Research program [UNCE/SCI/023 to M.C.]; and the GAC. R project [EXPRO 20-31529X and RVO: 67985840 to M.D.].en
dc.publisherOxford University Pressen
dc.relation.ispartofInternational Mathematics Research Notices, 2021; rnab193en
dc.rights© The Author(s) 2021. Published by Oxford University Press. All rights reserved.esen
dc.subjectLipschitz-free spacesen
dc.subjectLipschitz algebrasen
dc.subjectUnbounded spacesen
dc.titleLipschitz algebras and Lipschitz-Free spaces over unbounded metric spacesen
dc.typeArtículo / Artikuluaes
dc.contributor.departmentEstadística, Informática y Matemáticases_ES
dc.contributor.departmentEstatistika, Informatika eta Matematikaeu
dc.contributor.departmentInstitute for Advanced Materials and Mathematics - INAMAT2es_ES
dc.rights.accessRightsAcceso abierto / Sarbide irekiaes
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-107701GB-I00/ES/en
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-095366-B-I00/ES/en
dc.type.versionVersión aceptada / Onetsi den bertsioaes

Files in this item


This item appears in the following Collection(s)

Show simple item record

El Repositorio ha recibido la ayuda de la Fundación Española para la Ciencia y la Tecnología para la realización de actividades en el ámbito del fomento de la investigación científica de excelencia, en la Línea 2. Repositorios institucionales (convocatoria 2020-2021).
Logo MinisterioLogo Fecyt