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Strong Diameter Two Property and Convex Combinations of Slices Reaching the Unit Sphere

dc.contributor.authorLópez Pérez, Ginés 
dc.contributor.authorMartín Suárez, Miguel 
dc.contributor.authorRueda Zoca, Abraham
dc.date.accessioned2024-12-20T09:07:28Z
dc.date.available2024-12-20T09:07:28Z
dc.date.issued2019
dc.identifier.citationPublished version: López-Pérez, G., Martín, M. & Rueda Zoca, A. Strong Diameter Two Property and Convex Combinations of Slices Reaching the Unit Sphere. Mediterr. J. Math. 16, 122 (2019). https://doi.org/10.1007/s00009-019-1403-1es_ES
dc.identifier.urihttps://hdl.handle.net/10481/98336
dc.descriptionThe research of Ginés López-Pérez and Miguel Martín has been partially supported by Spanish MINECO/FEDER grant number MTM2015-65020-P, and Junta de Andalucía/FEDER grant FQM-185. The research of Abraham Rueda Zoca has been supported by MECD (Spain) FPU2016/00015, Spanish MINECO/FEDER grant number MTM2015-65020-P, and Junta de Andalucía/FEDER grant FQM-185.es_ES
dc.description.abstractWe characterise the class of those Banach spaces in which every convex combination of slices of the unit ball intersects the unit sphere as the class of those spaces in which every convex combination of slices of the unit ball contains two points at distance exactly two. Also, we study when the convex combinations of slices of the unit ball are relatively open or have non-empty relative interior for different topologies, studying the relationship between them and studying these properties for L∞-spaces and preduals of L1-spaceses_ES
dc.description.sponsorshipSpanish MINECO/FEDER MTM2015-65020-Pes_ES
dc.description.sponsorshipJunta de Andalucía/FEDER FQM-185es_ES
dc.language.isoenges_ES
dc.publisherSpringer Naturees_ES
dc.rightsAttribution-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nd/4.0/*
dc.titleStrong Diameter Two Property and Convex Combinations of Slices Reaching the Unit Spherees_ES
dc.typejournal articlees_ES
dc.rights.accessRightsopen accesses_ES
dc.identifier.doi10.1007/s00009-019-1403-1
dc.type.hasVersionSMURes_ES


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