A criterion of weak compactness for operators on subspaces of Orlicz spaces

Pascal Lefèvre (1) , Daniel Li (1) , Hervé Queffélec (2) , Luis Rodriguez-Piazza (3)

1 LML - Laboratoire de Mathématiques de Lens
2 LPP - Laboratoire Paul Painlevé - UMR 8524
3 Departamento de Analisis Matematico

We give a criterion of weak compactness for the operators on the Morse-Transue space $M^\Psi$, the subspace of the Orlicz space $L^\Psi$ generated by $L^\infty$.

Mots clés: Morse-Transue space; Orlicz space; weakly compact operators

Domaines: Analyse fonctionnelle [math.FA]

Pascal Lefèvre, Daniel Li, Hervé Queffélec, Luis Rodriguez-Piazza. A criterion of weak compactness for operators on subspaces of Orlicz spaces. Journal of function spaces, 2008, 6 (3), pp.277 - 292. ⟨hal-00376115⟩