Bounded Real-Analytic Submanifolds of Banach-Spaces
| dc.contributor.author | Jaramillo Aguado, Jesús Ángel | |
| dc.date.accessioned | 2023-06-20T17:01:42Z | |
| dc.date.available | 2023-06-20T17:01:42Z | |
| dc.date.issued | 1989 | |
| dc.description.abstract | It is shown that, in contrast to the complex case, every paracompact finite-dimensional real-analytic manifold can be embedded as a bounded and closed real-analytic submanifold of every infinite-dimensional real Banach space. | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | CAICYT | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/16855 | |
| dc.identifier.doi | 10.2307/2046745 | |
| dc.identifier.issn | 0002-9939 | |
| dc.identifier.officialurl | http://www.ams.org/journals/proc/1989-105-01/S0002-9939-1989-0931740-9/S0002-9939-1989-0931740-9.pdf | |
| dc.identifier.relatedurl | http://www.ams.org/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/57650 | |
| dc.issue.number | 1 | |
| dc.journal.title | Proceedings of the American Mathematical Society | |
| dc.language.iso | eng | |
| dc.page.final | 128 | |
| dc.page.initial | 126 | |
| dc.publisher | American Mathematical Society | |
| dc.relation.projectID | 2197/83 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 517.98 | |
| dc.subject.keyword | Real Banach space | |
| dc.subject.keyword | embedding | |
| dc.subject.keyword | real analytic manifold | |
| dc.subject.ucm | Análisis funcional y teoría de operadores | |
| dc.title | Bounded Real-Analytic Submanifolds of Banach-Spaces | |
| dc.type | journal article | |
| dc.volume.number | 105 | |
| dcterms.references | V. Aurich, Bounded holomorphic embeddings of the unit disk into Banach spaces, Manuscripta Math. 45(1983), 61-67. A. Bukhvalov and A. Danilevich, Boundary properties of analytic and harmonic functions with values in Banach spaces, Math. Notes 31 (1982), 104-110. H. Grauert, On Levi 's problem and the imbedding of real-analytic manifolds, Ann. of Math. (2)68(1958), 460-472. J. Lindenstrauss and L. Tzafriri, Classical Banach spaces. I, Springer-Verlag, Berlin and New York, 1977. | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 8b6e753b-df15-44ff-8042-74de90b4e3e9 | |
| relation.isAuthorOfPublication.latestForDiscovery | 8b6e753b-df15-44ff-8042-74de90b4e3e9 |
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