We produce several situations where some natural subspaces of classical Banach spaces of functions over a compact abelian group contain the space $c_0$.
@article{hal-00441506,
author = {Lef\`evre, Pascal and Li, Daniel and Queff\'elec, Herv\'e and Rodriguez-Piazza, Luis},
title = {Some translation-invariant Banach function spaces which contain $c\_0$},
journal = {HAL},
volume = {2004},
number = {0},
year = {2004},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00441506}
}
Lefèvre, Pascal; Li, Daniel; Queffélec, Hervé; Rodriguez-Piazza, Luis. Some translation-invariant Banach function spaces which contain $c_0$. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00441506/