On Property β of Rolewicz in Köthe-Bochner Function Spaces
Bulletin of the Polish Academy of Sciences. Mathematics (2005)
- Volume: 53, Issue: 1, page 75-85
- ISSN: 0239-7269
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topPaweł Kolwicz. "On Property β of Rolewicz in Köthe-Bochner Function Spaces." Bulletin of the Polish Academy of Sciences. Mathematics 53.1 (2005): 75-85. <http://eudml.org/doc/280413>.
@article{PawełKolwicz2005,
abstract = {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.},
author = {Paweł Kolwicz},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {Köthe-Bochner space; property ; ; orthogonal uniform convexity; uniform monotonicity},
language = {eng},
number = {1},
pages = {75-85},
title = {On Property β of Rolewicz in Köthe-Bochner Function Spaces},
url = {http://eudml.org/doc/280413},
volume = {53},
year = {2005},
}
TY - JOUR
AU - Paweł Kolwicz
TI - On Property β of Rolewicz in Köthe-Bochner Function Spaces
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2005
VL - 53
IS - 1
SP - 75
EP - 85
AB - 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.
LA - eng
KW - Köthe-Bochner space; property ; ; orthogonal uniform convexity; uniform monotonicity
UR - http://eudml.org/doc/280413
ER -
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