Mostrar el registro sencillo del ítem
L- Orthogonality, octahedrality and daugavet property in banach spaces
dc.contributor.author | López Pérez, Ginés | |
dc.contributor.author | Rueda, Abraham | |
dc.date.accessioned | 2024-12-19T11:00:58Z | |
dc.date.available | 2024-12-19T11:00:58Z | |
dc.date.issued | 2020 | |
dc.identifier.uri | https://hdl.handle.net/10481/98293 | |
dc.description.abstract | We 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.sponsorship | MICINN (Spain) Grant PGC2018- 093794-B-I00 (MCIU, AEI, FEDER, UE), | es_ES |
dc.description.sponsorship | Junta de Andalucía Grant A-FQM-484- UGR18 | es_ES |
dc.description.sponsorship | Junta de Andalucía Grant FQM-0185 | es_ES |
dc.description.sponsorship | Vicerrectorado de Investigación y Transferencia de la Universidad de Granada in the program \Contratos puente | es_ES |
dc.language.iso | eng | es_ES |
dc.rights | Attribution-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nd/4.0/ | * |
dc.title | L- Orthogonality, octahedrality and daugavet property in banach spaces | es_ES |
dc.type | preprint | es_ES |
dc.rights.accessRights | open access | es_ES |