It is shown that if (S,∑,m) is an atomless finite measure space and X is a Banach space without the Radon-Nikodym property, then the quotient space cabv(∑,m;X)/L¹(m;X) is nonseparable.
@article{bwmeta1.element.bwnjournal-article-smv104i2p125bwm,
author = {Lech Drewnowski},
title = {Nonseparability of the quotient space cabv($\sum$,m;X)/L$^1$(m;X) for Banach spaces X without the Radon-Nikodym property},
journal = {Studia Mathematica},
volume = {104},
year = {1993},
pages = {125-132},
zbl = {0810.46040},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv104i2p125bwm}
}
Drewnowski, Lech. Nonseparability of the quotient space cabv(∑,m;X)/L¹(m;X) for Banach spaces X without the Radon-Nikodym property. Studia Mathematica, Tome 104 (1993) pp. 125-132. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv104i2p125bwm/
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