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Bishop-Phelps-Bollobás property for positive operators when the domain is L∞

dc.contributor.authorAcosta Vigil, María Dolores 
dc.contributor.authorSoleimani-Mourchehkhorti, Maryam
dc.date.accessioned2021-10-13T07:46:43Z
dc.date.available2021-10-13T07:46:43Z
dc.date.issued2020-12-26
dc.identifier.citationAcosta, M. D., & Soleimani-Mourchehkhorti, M. (2021). Bishop-Phelps-Bollobás property for positive operators when the domain is L∞. Bulletin of Mathematical Sciences, 11(02), 2050023. [http://dx.doi.org/10.1142/S166436072050023X]es_ES
dc.identifier.urihttp://hdl.handle.net/10481/70815
dc.descriptionM. D. Acosta was supported by Junta de Andaluc ' ia grant FQM-185 and also by Spanish MINECO/FEDER grant PGC2018-093794-B-I00. M. SoleimaniMourchehkhorti was supported by a grant from IPM.es_ES
dc.description.abstractWe prove that the class of positive operators from L∞(μ) to Y has the Bishop-Phelps- Bollob´as property for any positive measure μ, whenever Y is a uniformly monotone Banach lattice with a weak unit. The same result also holds for the pair (c0, Y ) for any uniformly monotone Banach lattice Y. Further we show that these results are optimal in case that Y is strictly monotone.es_ES
dc.description.sponsorshipJunta de Andalucia FQM-185es_ES
dc.description.sponsorshipSpanish MINECO/FEDER grant PGC2018-093794-B-I00es_ES
dc.description.sponsorshipIPMes_ES
dc.language.isoenges_ES
dc.publisherWorld Scientifices_ES
dc.rightsAtribución 3.0 España*
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/es/*
dc.subjectBanach spacees_ES
dc.subjectOperatores_ES
dc.subjectBishop-Phelps-Bollobás theoremes_ES
dc.subjectBishop-Phelps-Bollobás propertyes_ES
dc.titleBishop-Phelps-Bollobás property for positive operators when the domain is L∞es_ES
dc.typejournal articlees_ES
dc.rights.accessRightsopen accesses_ES
dc.identifier.doi10.1142/S166436072050023X
dc.type.hasVersionVoRes_ES


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