On Property β of Rolewicz in Köthe-Bochner Function Spaces
Paweł Kolwicz
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 53 (2005), p. 75-85 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2005-01-01
EUDML-ID : urn:eudml:doc:280413 
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Paweł Kolwicz. On Property β of Rolewicz in Köthe-Bochner Function Spaces. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 53 (2005) pp. 75-85. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba53-1-7/