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Infinite dimensional spaces in the set of strongly norm-attaining Lipschitz maps

dc.contributor.authorAvilés, Antonio
dc.contributor.authorMartínez Cervantes, Gonzalo
dc.contributor.authorRueda Zoca, Abraham
dc.contributor.authorTradacete, Pedro
dc.date.accessioned2024-06-17T11:17:37Z
dc.date.available2024-06-17T11:17:37Z
dc.date.issued2023-04-06
dc.identifier.citationAvilés, Antonio, et al. Infinite dimensional spaces in the set of strongly norm-attaining Lipschitz maps. Rev. Mat. Iberoam. 40 (2024), no. 1, 189–200 DOI 10.4171/RMI/1425es_ES
dc.identifier.urihttps://hdl.handle.net/10481/92643
dc.description.abstractWe prove that if M is an infinite complete metric space, then the set of strongly norm-attaining Lipschitz functions SNA(M) contains a linear subspace isomorphic to c0. This solves an open question posed by V. Kadets and Ó. Roldán.es_ES
dc.description.sponsorshipFundación Séneca-ACyT Región de Murcia (20797/PI/18 and 21955/PI/22)es_ES
dc.description.sponsorshipMTM2017-86182-P (funded by MCIN/AEI/10.13039/501100011033 and “ERDF A way of making Europe”)es_ES
dc.description.sponsorshipMCIN/AEI/10.13039/501100011033 (Spain) Grant PID2021-122126NB-C32es_ES
dc.description.sponsorshipMCIN/AEI/10.13039/501100011033 (Spain) Grant PGC2018-093794-B-I00 and PID2021-122126NB-C31es_ES
dc.description.sponsorshipJunta de Andalucía Grants FQM-0185 and PY20_00255es_ES
dc.description.sponsorshipAgencia Estatal de Investigación (AEI) and Fondo Europeo de Desarrollo Regional (FEDER) through grants PID2020-116398GB-I00es_ES
dc.description.sponsorshipCEX2019-000904-S funded by MCIN/AEI/10.13039/501100011033es_ES
dc.language.isoenges_ES
dc.publisherEMS Presses_ES
dc.rightsAtribución 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectStrong norm attainmentes_ES
dc.subjectSpace of Lipschitz functionses_ES
dc.subjectLinear subspaceses_ES
dc.titleInfinite dimensional spaces in the set of strongly norm-attaining Lipschitz mapses_ES
dc.typejournal articlees_ES
dc.rights.accessRightsopen accesses_ES
dc.identifier.doi10.4171/RMI/1425
dc.type.hasVersionVoRes_ES


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