On Property β of Rolewicz in Köthe-Bochner Function Spaces
Paweł Kolwicz (2005)
Bulletin of the Polish Academy of Sciences. Mathematics
Similarity:
It is proved that the Köthe-Bochner function space E(X) has property β if and only if X is uniformly convex and E has property β. In particular, property β does not lift from X to E(X) in contrast to the case of Köthe-Bochner sequence spaces.