Sous-espaces fermés de séries universelles sur un espace de Fréchet

Quentin Menet

Studia Mathematica (2011)

  • Volume: 207, Issue: 2, page 181-195
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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Quentin Menet. "Sous-espaces fermés de séries universelles sur un espace de Fréchet." Studia Mathematica 207.2 (2011): 181-195. <http://eudml.org/doc/285578>.

@article{QuentinMenet2011,
author = {Quentin Menet},
journal = {Studia Mathematica},
keywords = {universal series; closed infinite-dimensional subspace; Fréchet spaces; basic sequences},
language = {fre},
number = {2},
pages = {181-195},
title = {Sous-espaces fermés de séries universelles sur un espace de Fréchet},
url = {http://eudml.org/doc/285578},
volume = {207},
year = {2011},
}

TY - JOUR
AU - Quentin Menet
TI - Sous-espaces fermés de séries universelles sur un espace de Fréchet
JO - Studia Mathematica
PY - 2011
VL - 207
IS - 2
SP - 181
EP - 195
LA - fre
KW - universal series; closed infinite-dimensional subspace; Fréchet spaces; basic sequences
UR - http://eudml.org/doc/285578
ER -

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