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Artículo
Linear Kierst-Szpilrajn theorems
dc.creator | Bernal González, Luis | es |
dc.date.accessioned | 2019-06-19T10:32:40Z | |
dc.date.available | 2019-06-19T10:32:40Z | |
dc.date.issued | 2005 | |
dc.identifier.citation | Bernal González, L. (2005). Linear Kierst-Szpilrajn theorems. Studia Mathematica, 166, 55-69. | |
dc.identifier.issn | 0039-3223 | es |
dc.identifier.issn | 1730-6337 | es |
dc.identifier.uri | https://hdl.handle.net/11441/87529 | |
dc.description.abstract | We prove in this paper the following result which extends in a somewhat ‘linear’ sense a theorem by Kierst and Szpilrajn and which holds on many ‘natural’ spaces of holomorphic functions in the open unit disk D: There exist a dense linear manifold and a closed infinite-dimensional linear manifold of holomorphic functions in D whose domain of holomorphy is D except for the null function. The existence of a dense linear manifold of noncontinuable functions is also shown in any domain for its full space of holomorphic functions. | es |
dc.description.sponsorship | Plan Andaluz de Investigación (Junta de Andalucía) | es |
dc.description.sponsorship | Dirección General de Enseñanza Superior (DGES). España | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Polish Academy of Sciences, Institute of Mathematics | es |
dc.relation.ispartof | Studia Mathematica, 166, 55-69. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Domain of holomorphy | es |
dc.subject | Unit disk | es |
dc.subject | Residual set | es |
dc.subject | Dense linear manifold | es |
dc.subject | Closed linear manifold | es |
dc.subject | Ggap series | es |
dc.title | Linear Kierst-Szpilrajn theorems | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Análisis Matemático | es |
dc.relation.projectID | FQM-127 | es |
dc.relation.projectID | BFM2003-03893- C02-01 | es |
dc.relation.publisherversion | https://www.impan.pl/shop/en/publication/transaction/download/product/90493 | es |
dc.identifier.doi | 10.4064/sm166-1-4 | es |
dc.contributor.group | Universidad de Sevilla. FQM127: Análisis Funcional no Lineal | es |
idus.format.extent | 18 p. | es |
dc.journaltitle | Studia Mathematica | es |
dc.publication.volumen | 166 | es |
dc.publication.initialPage | 55 | es |
dc.publication.endPage | 69 | es |
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