Sous-espaces fermés de séries universelles sur un espace de Fréchet
Tom 207 / 2011
Studia Mathematica 207 (2011), 181-195
MSC: Primary 30Bxx; Secondary 30K05, 47A16.
DOI: 10.4064/sm207-2-5
Streszczenie
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.