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Notions de petitesse, géométrie des espaces de Banach et hypercyclicité
| dc.contributor.advisor | Esterle, Jean | |
| dc.contributor.advisor | Matheron, Etienne | |
| dc.contributor.author | MOREAU, Pierre | |
| dc.contributor.other | Deville, Robert | |
| dc.contributor.other | Kupin, Stanislav | |
| dc.contributor.other | Lancien, Gilles | |
| dc.contributor.other | Lefèvre, Pascal | |
| dc.date | 2009-06-15 | |
| dc.date.accessioned | 2020-12-14T21:11:55Z | |
| dc.date.available | 2020-12-14T21:11:55Z | |
| dc.identifier.uri | http://ori-oai.u-bordeaux1.fr/pdf/2009/MOREAU_PIERRE_2009.pdf | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/21866 | |
| dc.identifier.nnt | 2009BOR13803 | |
| dc.description.abstract | Il existe de nombreuses notions de petitesse en analyse. On considère trois d'entre elles: la Haar-négligeabilité, la Gauss-négligeabilité et la sigma-porosité. On étudie à quelles conditions le cône positif d'une base de Schauder est Haar-négligeable, et ce que cela entraîne pour l'espace de Banach associé. On étudie également sous quelles conditions l'ensemble des vecteurs non-hypercycliques d'un opérateur hypercyclique est Haar-négligeable ou sigma-poreux. | |
| dc.description.abstractEn | There are many notions of smallness in Analysis. We will consider three of them: Haar-negligeability, Gauss-negligeability and sigma-porosity. We will study on which conditions the positive cone of a Schauder basis is Haar-null, and its consequence on the Banach space. We will also study on which conditions the set of non-hypercyclic vectors of an hypercyclic operator is Haar-null or sigma-porous. | |
| dc.language.iso | fr | |
| dc.subject | Haar-négligeabilité | |
| dc.subject | Hypercyclicité | |
| dc.subject | Gauss-négligeabilité | |
| dc.subject | Espace de Banach | |
| dc.subject | Porosité | |
| dc.subject | Base de Schauder | |
| dc.subject.en | Haar-negligeability | |
| dc.subject.en | Hypercyclicity | |
| dc.subject.en | Gauss-negligeability | |
| dc.subject.en | Porosity | |
| dc.subject.en | Banach space | |
| dc.subject.en | Schauder basis | |
| dc.title | Notions de petitesse, géométrie des espaces de Banach et hypercyclicité | |
| dc.type | Thèses de doctorat | |
| bordeaux.hal.laboratories | Thèses de l'Université de Bordeaux avant 2014 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.type.institution | Bordeaux 1 | |
| bordeaux.thesis.discipline | Mathématiques | |
| bordeaux.ecole.doctorale | École doctorale de mathématiques et informatique (Talence, Gironde) | |
| star.origin.link | https://www.theses.fr/2009BOR13803 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.title=Notions%20de%20petitesse,%20g%C3%A9om%C3%A9trie%20des%20espaces%20de%20Banach%20et%20hypercyclicit%C3%A9&rft.atitle=Notions%20de%20petitesse,%20g%C3%A9om%C3%A9trie%20des%20espaces%20de%20Banach%20et%20hypercyclicit%C3%A9&rft.au=MOREAU,%20Pierre&rft.genre=unknown |
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