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Preservation of Extreme Points

dc.contributor.authorMena Jurado, Juan Francisco 
dc.contributor.authorNavarro Pascual, Juan Carlos
dc.date.accessioned2022-07-22T09:02:58Z
dc.date.available2022-07-22T09:02:58Z
dc.date.issued2022-06-29
dc.identifier.citationMena-Jurado, J.F.; Navarro-Pascual, J.C. Preservation of Extreme Points. Mathematics 2022, 10, 2268. [https://doi.org/10.3390/math10132268]es_ES
dc.identifier.urihttp://hdl.handle.net/10481/76326
dc.descriptionFunding: This work was supported by the Spanish AEI Project PGC2018-093794-B-I00/AEI/10.13039/ 501100011033 (MCIU/AEI/FEDER, UE), by Junta de Andalucía I+D+i grants P20 00255, A-FQM-484- UGR18, and FQM-185, by “María de Maeztu” Excellence Unit IMAG, reference CEX2020-001105-M funded by MCIN/AEI/10.13039/501100011033, and by the FQM-194 research group of the University of Almería.es_ES
dc.descriptionAcknowledgments: The authors would like to express their gratitude to the reviewers for their valuable comments and suggestions.es_ES
dc.description.abstractWe characterize the extreme points of the closed unit ball of the dual of a Banach space which are preserved by the adjoint of any extreme operator. The result is related to the structure topology introduced by Alfsen and Effros on the set of all extreme points in the dual of any Banach space. As a consequence, we prove that c0(I) is the only Banach space such that the adjoint of every extreme operator taking values into it preserves extreme points.es_ES
dc.description.sponsorshipJunta de Andalucía I+D+i A-FQM-484-UGR18, FQM-185, MCIN/AEI/10.13039/501100011033, P20 00255es_ES
dc.description.sponsorshipUniversidad de Almeríaes_ES
dc.language.isoenges_ES
dc.publisherMDPIes_ES
dc.rightsAtribución 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectBanach spaces es_ES
dc.subjectExtreme operatores_ES
dc.subjectStructure topologyes_ES
dc.titlePreservation of Extreme Pointses_ES
dc.typejournal articlees_ES
dc.rights.accessRightsopen accesses_ES
dc.identifier.doi10.3390/math10132268
dc.type.hasVersionVoRes_ES


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