Real-Analytic Negligibility of Points and Subspaces in Banach Spaces, with Applications
| dc.contributor.author | Azagra Rueda, Daniel | |
| dc.contributor.author | Dobrowolski, Tadeusz | |
| dc.date.accessioned | 2023-06-20T16:48:58Z | |
| dc.date.available | 2023-06-20T16:48:58Z | |
| dc.date.issued | 2002-03 | |
| dc.description.abstract | We prove that every infinite-dimensional Banach space X having a (not necessarily equivalent) real-analytic norm is real-analytic diffeomorphic to X \ {0}. More generally, if X is an infinite-dimensional Banach space and F is a closed subspace of X such that there is a real-analytic seminorm on X whose set of zeros is F, and X / F is infinite-dimensional, then X and X \ F are real-analytic diffeomorphic. As an application we show the existence of real-analytic free actions of the circle and the n-torus on certain 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.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/13960 | |
| dc.identifier.doi | 10.4153/CMB-2002-001-7 | |
| dc.identifier.issn | 0008-4395 | |
| dc.identifier.officialurl | http://www.cms.math.ca/cmb/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/57114 | |
| dc.issue.number | 1 | |
| dc.journal.title | Canadian Mathematical Bulletin | |
| dc.language.iso | eng | |
| dc.page.final | 10 | |
| dc.page.initial | 3 | |
| dc.publisher | University of Toronto Press | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 517.98 | |
| dc.subject.keyword | Real-analytic diffeomorphic | |
| dc.subject.keyword | Real-analytic seminorm | |
| dc.subject.ucm | Análisis funcional y teoría de operadores | |
| dc.title | Real-Analytic Negligibility of Points and Subspaces in Banach Spaces, with Applications | |
| dc.type | journal article | |
| dc.volume.number | 45 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 6696556b-dc2e-4272-8f5f-fa6a7a2f5344 | |
| relation.isAuthorOfPublication.latestForDiscovery | 6696556b-dc2e-4272-8f5f-fa6a7a2f5344 |
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