L-summands in their biduals have Pełczyński's property (V*)
Volume 104 / 1993
Studia Mathematica 104 (1993), 91-98
DOI: 10.4064/sm-104-1-91-98
Abstract
Banach spaces which are L-summands in their biduals - for example $l^1$, the predual of any von Neumann algebra, or the dual of the disc algebra - have Pełczyński's property (V*), which means that, roughly speaking, the space in question is either reflexive or is weakly sequentially complete and contains many complemented copies of $l^1$.