Infinite dimensional holomorphic non-extendability and algebraic genericity
| dc.contributor.author | Bernal González, Luis | |
| dc.contributor.author | Calderón Moreno, M. C. | |
| dc.contributor.author | Seoane Sepúlveda, Juan Benigno | |
| dc.date.accessioned | 2023-06-17T21:48:52Z | |
| dc.date.available | 2023-06-17T21:48:52Z | |
| dc.date.issued | 2017 | |
| dc.description.abstract | In this note, the linear structure of the family H-e(G) of holomorphic functions in a domain G of a complex Banach space that are not holomorphically continuable beyond the boundary of G is analyzed. More particularly, we prove that H-e(G) contains, except for zero, a closed (and a dense) vector space having maximal dimension, as well as a maximally generated free algebra. The results obtained complete a number of previous ones by several author. | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Ministerio de Ciencia e Innovación (MICINN) | |
| dc.description.sponsorship | Junta de Andalucía | |
| dc.description.sponsorship | MEC | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/40713 | |
| dc.identifier.doi | 10.1016/j.laa.2016.10.008 | |
| dc.identifier.issn | 0024-3795 | |
| dc.identifier.officialurl | http://www.sciencedirect.com/science/article/pii/S0024379516304815 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/17579 | |
| dc.journal.title | Linear Algebra and its Applications | |
| dc.language.iso | eng | |
| dc.page.final | 159 | |
| dc.page.initial | 149 | |
| dc.publisher | Elsevier Science | |
| dc.relation.projectID | MTM2015-65825-P. | |
| dc.relation.projectID | MTM2015-65242-C2-1-P | |
| dc.relation.projectID | FQM-127 Grant P08-FQM-03543 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 517.98 | |
| dc.subject.keyword | Lineability | |
| dc.subject.keyword | Maximal spaceability | |
| dc.subject.keyword | Maximal algebrability | |
| dc.subject.keyword | Non-continuable holomorphic functions | |
| dc.subject.keyword | Domain of existence | |
| dc.subject.keyword | Balanced domain | |
| dc.subject.ucm | Análisis funcional y teoría de operadores | |
| dc.title | Infinite dimensional holomorphic non-extendability and algebraic genericity | |
| dc.type | journal article | |
| dc.volume.number | 513 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | e85d6b14-0191-4b04-b29b-9589f34ba898 | |
| relation.isAuthorOfPublication.latestForDiscovery | e85d6b14-0191-4b04-b29b-9589f34ba898 |
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