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dc.contributor.authorLópez Pérez, Ginés 
dc.contributor.authorRueda, Abraham
dc.date.accessioned2024-12-19T11:00:58Z
dc.date.available2024-12-19T11:00:58Z
dc.date.issued2020
dc.identifier.urihttps://hdl.handle.net/10481/98293
dc.description.abstractWe prove that the abundance of almost L-orthogonal vectors in a Banach space X (almost Daugavet property) implies the abundance of nonzero vectors in X** being L-orthogonal to X. In fact, we get that a Banach space X verfies the Daugavet property if, and only if, the set of vectors in X** being L-orthogonal to X is weak-star dense in X**. In contrast with the separable case, we prove that the existence of almost L-orthogonal vectors in a nonseparable Banach space X (octahedrality) does not imply the existence of nonzero vectors in X** being L-orthogonal to X, which shows that the answer to an environment question is negative (see [7, Section 9] and [13, Section 4]). Also, in contrast with the separable case, we obtain that the existence of almost L-orthogonal vectors in a nonseparable Banach space X (octahedrality) does not imply the abundance of almost L-orthogonal vectors in Banach space X (almost Daugavet property), which solves an open question in [20]. Some consequences on Daugavet property in the setting of L-embedded spaces are also obtained.es_ES
dc.description.sponsorshipMICINN (Spain) Grant PGC2018- 093794-B-I00 (MCIU, AEI, FEDER, UE),es_ES
dc.description.sponsorshipJunta de Andalucía Grant A-FQM-484- UGR18es_ES
dc.description.sponsorshipJunta de Andalucía Grant FQM-0185es_ES
dc.description.sponsorshipVicerrectorado de Investigación y Transferencia de la Universidad de Granada in the program \Contratos puentees_ES
dc.language.isoenges_ES
dc.rightsAttribution-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nd/4.0/*
dc.titleL- Orthogonality, octahedrality and daugavet property in banach spaceses_ES
dc.typepreprintes_ES
dc.rights.accessRightsopen accesses_ES


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