Embeddings of spaces of holomorphic functions of bounded type
| dc.contributor.author | Martínez Ansemil, José María | |
| dc.contributor.author | Aron, Richard M. | |
| dc.contributor.author | Ponte Miramontes, María Del Socorro | |
| dc.date.accessioned | 2023-06-20T17:01:01Z | |
| dc.date.available | 2023-06-20T17:01:01Z | |
| dc.date.issued | 1992-12 | |
| dc.description.abstract | Let U be an open subset of a complex locally convex space E, let F be a closed subspace of E, and let PI:E --> E/F be the canonical quotient mapping. In this paper we study the induced mapping PI*, taking f is-an-element-of H(b)(PI(U))--> f circle PI is-an-element-of H(b)(U), where H(b)(V) denotes the space of holomorphic functions of bounded type on an open set V. We prove that this mapping is an embedding when E is a Frechet-Schwartz space, and that it is not an embedding for certain subspaces F of every Frechet-Montel, not Schwartz, space. We provide several examples in the case where E is a Banach space to illustrate the sharpness of our results. | 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/16817 | |
| dc.identifier.issn | 0024-6107 | |
| dc.identifier.officialurl | http://jlms.oxfordjournals.org/content/s2-46/3/482.full.pdf+html | |
| dc.identifier.relatedurl | http://www.oxfordjournals.org/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/57630 | |
| dc.issue.number | 3 | |
| dc.journal.title | Journal of the London Mathematical Society. Second Series | |
| dc.page.final | 490 | |
| dc.page.initial | 482 | |
| dc.publisher | Oxford University Press | |
| dc.rights.accessRights | metadata only access | |
| dc.subject.cdu | 515.12 | |
| dc.subject.keyword | Space of holomorphic functions of bounded type on an open set | |
| dc.subject.keyword | Embedding | |
| dc.subject.keyword | Fréchet-Schwartz space | |
| dc.subject.ucm | Topología | |
| dc.subject.unesco | 1210 Topología | |
| dc.title | Embeddings of spaces of holomorphic functions of bounded type | en |
| dc.type | journal article | |
| dc.volume.number | 46 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | e94d6c20-a1ea-4d41-aa71-df8bbd1ad67d | |
| relation.isAuthorOfPublication | 67a29a58-69bf-4013-9eef-059313b4a915 | |
| relation.isAuthorOfPublication.latestForDiscovery | 67a29a58-69bf-4013-9eef-059313b4a915 |