Sous-espaces fermés de séries universelles
sur un espace de Fréchet
Studia Mathematica, Tome 207 (2011) no. 2, pp. 181-195
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
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.
Mots-clés :
improve result charpentier studia math prove even chet spaces continuous norm existence only restrictively universal series implies existence closed infinite dimensional subspace restrictively universal series
Affiliations des auteurs :
Quentin Menet 1
@article{10_4064_sm207_2_5,
author = {Quentin Menet},
title = {Sous-espaces ferm\'es de s\'eries universelles
sur un espace de {Fr\'echet}},
journal = {Studia Mathematica},
pages = {181--195},
year = {2011},
volume = {207},
number = {2},
doi = {10.4064/sm207-2-5},
language = {fr},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm207-2-5/}
}
Quentin Menet. Sous-espaces fermés de séries universelles sur un espace de Fréchet. Studia Mathematica, Tome 207 (2011) no. 2, pp. 181-195. doi: 10.4064/sm207-2-5
Cité par Sources :