Spaces of holomorphic functions and germs on quotients
dc.book.title | Progress in Functional Analysis | |
dc.contributor.author | Martínez Ansemil, José María | |
dc.contributor.author | Aron, Richard M. | |
dc.contributor.author | Ponte Miramontes, María Del Socorro | |
dc.contributor.editor | Bierstedt, K.D. | |
dc.contributor.editor | Bonet, J. | |
dc.contributor.editor | Horvát, J. | |
dc.contributor.editor | Maestre, M. | |
dc.date.accessioned | 2023-06-20T21:03:40Z | |
dc.date.available | 2023-06-20T21:03:40Z | |
dc.date.issued | 1992 | |
dc.description | INTERNATIONAL FUNCTIONAL ANALYSIS MEETING ON THE OCCASION OF THE 60TH BIRTHDAY OF PROFESSOR M VALDIVIA.PENISCOLA,OCT 22-27, 1990 | |
dc.description.abstract | Let E be a complex locally convex space, F a closed subspace, and let π be the canonical quotient mapping from E onto E/F. Let H(U) [resp. H(K)] be the set of holomorphic functions on the open set U of E [resp. the set of germs of holomorphic functions on the compact set K of E]. Let π∗ be the mapping induced by π from H(π(U)) [resp. H(π(K))] into H(U) [resp. H(K)]. π∗ is always continuous for the natural topologies; the aim of the paper is to give a survey of the results concerning when π∗ is, or is not, an embedding. | en |
dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
dc.description.faculty | Fac. de Ciencias Matemáticas | |
dc.description.refereed | TRUE | |
dc.description.sponsorship | Dirección General de Investigación Científica y Técnica (España) | |
dc.description.status | pub | |
dc.eprint.id | https://eprints.ucm.es/id/eprint/16818 | |
dc.identifier.citation | Martínez Ansemil, J. M., Aron, R. M. & Ponte Miramontes, M. S. «Spaces of Holomorphic Functions and Germs on Quotients». North-Holland Mathematics Studies, vol. 170, Elsevier, 1992, pp. 163-77. DOI.org (Crossref), https://doi.org/10.1016/S0304-0208(08)70317-7. | |
dc.identifier.doi | 10.1016/S0304-0208(08)70317-7 | |
dc.identifier.isbn | 0-444-89378-4 | |
dc.identifier.officialurl | https//doi.org/10.1016/S0304-0208(08)70317-7 | |
dc.identifier.relatedurl | http://www.sciencedirect.com/science/article/pii/S0304020808703177 | |
dc.identifier.uri | https://hdl.handle.net/20.500.14352/60576 | |
dc.issue.number | 170 | |
dc.page.final | 177 | |
dc.page.initial | 163 | |
dc.page.total | 423 | |
dc.publication.place | Amsterdam | |
dc.publisher | Elsevier Science Publ. B. V. | |
dc.relation.ispartofseries | North-Holland mathematics studies | |
dc.relation.projectID | PB87/1031. | |
dc.rights.accessRights | metadata only access | |
dc.subject.cdu | 517.98 | |
dc.subject.keyword | Holomorphic mappings on quotient spaces | |
dc.subject.keyword | Compact open topology | |
dc.subject.keyword | Embedding | |
dc.subject.keyword | Fréchet-Montel non-Schwartz space | |
dc.subject.keyword | Montel space | |
dc.subject.ucm | Análisis funcional y teoría de operadores | |
dc.title | Spaces of holomorphic functions and germs on quotients | en |
dc.type | book part | |
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 |