Sous-espaces fermés de séries universelles sur un espace de Fréchet
Quentin Menet
Studia Mathematica, Tome 204 (2011), p. 181-195 / Harvested from The Polish Digital Mathematics Library
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We improve a result of Charpentier [Studia Math. 198 (2010)]. We prove that even on Fréchet spaces with a continuous norm, the existence of only one restrictively universal series implies the existence of a closed infinite-dimensional subspace of restrictively universal series.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:285578 
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     author = {Quentin Menet},
     title = {Sous-espaces ferm\'es de s\'eries universelles sur un espace de Fr\'echet},
     journal = {Studia Mathematica},
     volume = {204},
     year = {2011},
     pages = {181-195},
     zbl = {1256.30053},
     language = {fra},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm207-2-5}
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Quentin Menet. Sous-espaces fermés de séries universelles sur un espace de Fréchet. Studia Mathematica, Tome 204 (2011) pp. 181-195. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm207-2-5/