Weak compactness and 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 new proofs that some Banach spaces have Pe{\l}czy\'nski's property $(V)$.

Mots clés: $M$-ideal; Morse-Transue space; Orlicz space; Pe{\l}czy\'nski's property $(V)$

Domaines: Analyse fonctionnelle [math.FA]

Pascal Lefèvre, Daniel Li, Hervé Queffélec, Luis Rodriguez-Piazza. Weak compactness and Orlicz spaces. Colloquium Mathematicum, 2008, 112 (1), pp.23 - 32. ⟨hal-00376125⟩