An Example on Composite Differentiable Functions in Infinite Dimensions
| dc.contributor.author | Jaramillo Aguado, Jesús Ángel | |
| dc.date.accessioned | 2023-06-20T17:01:39Z | |
| dc.date.available | 2023-06-20T17:01:39Z | |
| dc.date.issued | 1989-08 | |
| dc.description.abstract | We present an example showing that a classical result due to Glaeser about the closedness of composition subalgebras of infinitely differeuniable functions cannot be extended to the case of weakly uniformly differentiable functions on Banach spaces | |
| 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/16854 | |
| dc.identifier.doi | 10.1017/S000497270000352X | |
| dc.identifier.issn | 0004-9727 | |
| dc.identifier.officialurl | http://journals.cambridge.org/abstract_S000497270000352X | |
| dc.identifier.relatedurl | http://www.cambridge.org/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/57649 | |
| dc.issue.number | 1 | |
| dc.journal.title | Bulletin of the Australian Mathematical Society | |
| dc.language.iso | eng | |
| dc.page.final | 95 | |
| dc.page.initial | 91 | |
| dc.publisher | Australian Mathematics Publ Assoc Inc | |
| dc.relation.projectID | 2197/83 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 517.98 | |
| dc.subject.keyword | Weakly uniformly differentiable functions | |
| dc.subject.keyword | Glaeser theorem | |
| dc.subject.keyword | real-analytic mapping | |
| dc.subject.keyword | Fréchet topology of uniform convergence on compact subsets of functions and all their derivatives | |
| dc.subject.ucm | Análisis funcional y teoría de operadores | |
| dc.title | An Example on Composite Differentiable Functions in Infinite Dimensions | |
| dc.type | journal article | |
| dc.volume.number | 40 | |
| dcterms.references | R. Aron, J. G6mez and J. Llavona, 'Homomorphisms between algebras of differentiable functions in infinite dimensions', Mich. Math. J. 35 (1988), 163-178. R. Aron and J. Prolla, 'Polynomial approximations of differentiable functions on Banach spaces', J. Reine Angew. Math. 313 (1980), 195-216. G. Glaeser, 'Fonctions composees differentiables', Ann. of Math. 77 (1963), 193-209. H.H. Keller, Differential Calculus in Locally Convex Spaces, Lecture Notes in Math 417 (Sptinger-Verlag, Berlin, Heidelberg, New York, Tokyo, 1974). J. Llavona, Approximation of Continuously Differentiable Functions, North Holland Math. Studies 130, 1986. S. Yamamuro, Differential Calculus in Topological Linear Spaces, Lecture Notes in Math. 374 (Springer-Verlag, Berlin, Heidelberg, New York, Tokyo, 1974). | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 8b6e753b-df15-44ff-8042-74de90b4e3e9 | |
| relation.isAuthorOfPublication.latestForDiscovery | 8b6e753b-df15-44ff-8042-74de90b4e3e9 |
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