Metrizability of spaces of holomorphic functions with the Nachbin topology
| dc.contributor.author | Martínez Ansemil, José María | |
| dc.contributor.author | Ponte Miramontes, María Del Socorro | |
| dc.date.accessioned | 2023-06-20T09:40:14Z | |
| dc.date.available | 2023-06-20T09:40:14Z | |
| dc.date.issued | 2007-10-15 | |
| dc.description.abstract | In this paper we prove, among other things, that the space of all holomorphic functions on an open subset U of a complex metrizable space E, endowed with the Nachbin ported topology, is metrizable only if E has finite dimension. This answers a question by Mujica in [J. Mujica, Germenes holomorfos y funciones holomorfas en espacios de Frechet, Publicaciones del Departamento de Teoria de Funciones, Universidad de Santiago, Spain, 1978]. | en |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/16791 | |
| dc.identifier.citation | Martínez Ansemil, J. M. & Ponte Miramontes, M. S. «Metrizability of Spaces of Holomorphic Functions with the Nachbin Topology». Journal of Mathematical Analysis and Applications, vol. 334, n.o 2, octubre de 2007, pp. 1146-51. DOI.org (Crossref), https://doi.org/10.1016/j.jmaa.2007.01.012. | |
| dc.identifier.doi | 10.1016/j.jmaa.2007.01.012 | |
| dc.identifier.issn | 0022-247X | |
| dc.identifier.officialurl | https//doi.org/10.1016/j.jmaa.2007.01.012 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com/science/article/pii/S0022247X07000339 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/50151 | |
| dc.issue.number | 2 | |
| dc.journal.title | Journal of Mathematical Analysis and Applications | |
| dc.language.iso | eng | |
| dc.page.final | 1151 | |
| dc.page.initial | 1146 | |
| dc.publisher | Elsevier | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 517.98 | |
| dc.subject.keyword | Holomorphic function | |
| dc.subject.keyword | Nachbin topology | |
| dc.subject.keyword | Metrizable space | |
| dc.subject.ucm | Funciones (Matemáticas) | |
| dc.subject.unesco | 1202 Análisis y Análisis Funcional | |
| dc.title | Metrizability of spaces of holomorphic functions with the Nachbin topology | en |
| dc.type | journal article | |
| dc.volume.number | 334 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | e94d6c20-a1ea-4d41-aa71-df8bbd1ad67d | |
| relation.isAuthorOfPublication | 67a29a58-69bf-4013-9eef-059313b4a915 | |
| relation.isAuthorOfPublication.latestForDiscovery | e94d6c20-a1ea-4d41-aa71-df8bbd1ad67d |
Download
Original bundle
1 - 1 of 1