Spaceability and operator ideals
| dc.contributor.author | Hernández, Francisco L. | |
| dc.contributor.author | Ruiz Bermejo, César | |
| dc.contributor.author | Sánchez de los Reyes, Víctor Manuel | |
| dc.date.accessioned | 2023-06-18T06:45:59Z | |
| dc.date.available | 2023-06-18T06:45:59Z | |
| dc.date.issued | 2015-11 | |
| dc.description.abstract | Let I1 and I2 be arbitrary operator ideals in the sense of Pietsch and E and F be Banach spaces such that the set I1(E,F){set minus}I2(E,F) is non-empty. We give a quite general sufficient condition on the Banach spaces in order to obtain the spaceability of I1(E,F){set minus}I2(E,F). Some consequences are provided when considering the ideals of compact operators, strictly singular operators, finitely strictly singular operators and Schatten operator classes. | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Spanish Ministry of Economy and Competitiveness | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/32471 | |
| dc.identifier.doi | 10.1016/j.jmaa.2015.06.025 | |
| dc.identifier.issn | 0022-247X | |
| dc.identifier.officialurl | http://www.sciencedirect.com/science/article/pii/S0022247X1500579X | |
| dc.identifier.relatedurl | http://www.sciencedirect.com/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/24094 | |
| dc.issue.number | 2 | |
| dc.journal.title | Journal of Mathematical Analysis and Applications | |
| dc.language.iso | eng | |
| dc.page.final | 1044 | |
| dc.page.initial | 1035 | |
| dc.publisher | Elsevier | |
| dc.relation.projectID | MTM2012-31286 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 517 | |
| dc.subject.keyword | Spaceability | |
| dc.subject.keyword | Operator ideal | |
| dc.subject.ucm | Análisis matemático | |
| dc.subject.unesco | 1202 Análisis y Análisis Funcional | |
| dc.title | Spaceability and operator ideals | |
| dc.type | journal article | |
| dc.volume.number | 431 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 99883408-190b-4f61-be14-23d8126a2710 | |
| relation.isAuthorOfPublication.latestForDiscovery | 99883408-190b-4f61-be14-23d8126a2710 |
