A+ CATEGORY SCIENTIFIC UNIT

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

Volume 207 / 2011

Quentin Menet Studia Mathematica 207 (2011), 181-195 MSC: Primary 30Bxx; Secondary 30K05, 47A16. DOI: 10.4064/sm207-2-5

Abstract

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.

Authors

  • Quentin MenetInstitut de Mathématique
    Université de Mons
    20 Place du Parc
    7000 Mons, Belgique
    e-mail

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