Quasicomplemented Subspaces of Banach Spaces and Separable Quotients
| dc.contributor.author | Jiménez Sevilla, María Del Mar | |
| dc.contributor.author | Lajara, Sebastián | |
| dc.date.accessioned | 2024-05-27T17:05:55Z | |
| dc.date.available | 2024-05-27T17:05:55Z | |
| dc.date.issued | 2023 | |
| dc.description | 2023 Acuerdos transformativos CRUE | |
| dc.description.abstract | We present a result which generalizes the theorems of Gurariy-Kadets and Lindenstrauss-Rosenthal on quasicomplemented subspaces of Banach spaces. We also provide a solution in wide classes of Banach spaces of a problem posed by Ivan Singer concerning the existence of a w*-basic sequence in the dual of a Banach space which is biorthogonal to a given basic sequence (or more generally, a given minimal sequence) in that space, and other related problems. | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.faculty | Instituto de Matemática Interdisciplinar (IMI) | |
| dc.description.fundingtype | APC financiada por la UCM | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Ministerio de Ciencia e Innovación | |
| dc.description.status | pub | |
| dc.identifier.doi | 10.1007/s00025-023-02022-1 | |
| dc.identifier.issn | 1422-6383 | |
| dc.identifier.issn | 1420-9012 | |
| dc.identifier.officialurl | https://doi.org/10.1007/s00025-023-02022-1 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/104469 | |
| dc.journal.title | Results in Mathematics | |
| dc.language.iso | eng | |
| dc.publisher | Springer | |
| dc.relation.projectID | PID2021-122126NB-C32 | |
| dc.rights | Attribution 4.0 International | en |
| dc.rights.accessRights | open access | |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
| dc.subject.keyword | Banach space | |
| dc.subject.keyword | Quasicomplemented subspace | |
| dc.subject.keyword | Separable quotient | |
| dc.subject.keyword | w*-basic sequence | |
| dc.subject.keyword | Countable union of operator ranges | |
| dc.subject.ucm | Análisis funcional y teoría de operadores | |
| dc.subject.unesco | 1202 Análisis y Análisis Funcional | |
| dc.title | Quasicomplemented Subspaces of Banach Spaces and Separable Quotients | |
| dc.type | journal article | |
| dc.volume.number | 78 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 36c2a4e7-ac6d-450d-b64c-692a94ff6361 | |
| relation.isAuthorOfPublication.latestForDiscovery | 36c2a4e7-ac6d-450d-b64c-692a94ff6361 |
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