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Daugavet property in tensor product spaces

dc.contributor.authorRueda Zoca, Abraham
dc.contributor.authorTradacete, Pedro
dc.contributor.authorVillanueva, Ignacio
dc.date.accessioned2021-09-23T10:03:22Z
dc.date.available2021-09-23T10:03:22Z
dc.date.issued2019-03-05
dc.identifier.citationPublished version: Rueda Zoca, A., Tradacete, P., & Villanueva, I. (2021). DAUGAVET PROPERTY IN TENSOR PRODUCT SPACES. Journal of the Institute of Mathematics of Jussieu, 20(4), 1409-1428. doi:[10.1017/S147474801900063X]es_ES
dc.identifier.urihttp://hdl.handle.net/10481/70396
dc.descriptionThe research of first author was supported by MECD (Spain) FPU2016/00015, by MINECO (Spain) Grant MTM2015-65020-P and by Junta de Andaluc´ıa Grant FQM- 0185. Second author gratefully acknowledges support of MINECO (Spain) through grants MTM2016-76808-P, MTM2016-75196-P, and the “Severo Ochoa Programme for Centres of Excellence in R&D” (SEV-2015-0554). Third author was supported by MINECO (Spain) Grant MTM2017-88385-P, QUITEMAD+-CM (S2013/ICE- 2801) and the “Severo Ochoa Programme for Centres of Excellence in R&D” (SEV-2015-0554).es_ES
dc.description.abstractWe study the Daugavet property in tensor products of Banach spaces. We show that L1(μ)b "L1(ν) has the Daugavet property when μ and ν are purely non-atomic measures. Also, we show that Xb Y has the Daugavet property provided X and Y are L1-preduals with the Daugavet property, in particular spaces of continuous functions with this property. With the same tecniques, we also obtain consequences about roughness in projective tensor products as well as the Daugavet property of projective symmetric tensor products.es_ES
dc.description.sponsorshipMECD (Spain) FPU2016/00015es_ES
dc.description.sponsorshipSpanish Government PGC2018-093794-B-I00es_ES
dc.description.sponsorshipJunta de Andalucia A-FQM-484-UGR18 FQM-0185es_ES
dc.description.sponsorshipMINECO (Spain) MTM2016-76808-P MTM2016-75196-P MTM2017-88385-Pes_ES
dc.description.sponsorshipSevero Ochoa Programme for Centres of Excellence in RD SEV-2015-0554es_ES
dc.description.sponsorshipQUITEMAD+-CM S2013/ICE-2801es_ES
dc.language.isoenges_ES
dc.publisherCambridge University Presses_ES
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.subjectDaugavet propertyes_ES
dc.subjectTensor product spaceses_ES
dc.subjectOctahedral normses_ES
dc.titleDaugavet property in tensor product spaceses_ES
dc.typejournal articlees_ES
dc.rights.accessRightsopen accesses_ES
dc.type.hasVersionSMURes_ES


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