Some translation-invariant Banach function spaces which contain $c_0$
Lefèvre, Pascal ; Li, Daniel ; Queffélec, Hervé ; Rodriguez-Piazza, Luis
HAL, hal-00441506 / Harvested from HAL
We produce several situations where some natural subspaces of classical Banach spaces of functions over a compact abelian group contain the space $c_0$.
Publié le : 2004-07-05
Classification:  cotype,  Hilbert set,  invariant mean,  Orlicz space,  $q$-Rider set,  Riemann-integrable function,  Rosenthal set,  set of uniform convergence,  Sidon set,  $p$-Sidon set,  MSC: Primary: 43A46, 46B20; Secondary: 42A55, 42B35, 43A07, 46E30,  [MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA]
@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/