L-summands in their biduals have Pełczyński's property (V*)
Studia Mathematica, Tome 104 (1993) no. 1, pp. 91-98
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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 $l^1$.
@article{10_4064_sm_104_1_91_98,
author = {Hermann Pfitzner},
title = {L-summands in their biduals have {Pe{\l}czy\'nski's} property {(V*)}},
journal = {Studia Mathematica},
pages = {91--98},
publisher = {mathdoc},
volume = {104},
number = {1},
year = {1993},
doi = {10.4064/sm-104-1-91-98},
language = {pl},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-104-1-91-98/}
}
TY - JOUR AU - Hermann Pfitzner TI - L-summands in their biduals have Pełczyński's property (V*) JO - Studia Mathematica PY - 1993 SP - 91 EP - 98 VL - 104 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/sm-104-1-91-98/ DO - 10.4064/sm-104-1-91-98 LA - pl ID - 10_4064_sm_104_1_91_98 ER -
Hermann Pfitzner. L-summands in their biduals have Pełczyński's property (V*). Studia Mathematica, Tome 104 (1993) no. 1, pp. 91-98. doi: 10.4064/sm-104-1-91-98
Cité par Sources :