We deal with the weak Radon-Nikodým property in connection with the dual space of (X,Y), the space of compact operators from a Banach space X to a Banach space Y. First, under the weak Radon-Nikodým property, we give a representation of that dual. Next, using this representation, we provide some applications to the dual spaces of (X,Y) and , the space of weak*-weakly continuous operators.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm210-3-5,
author = {Keun Young Lee},
title = {Dual spaces of compact operator spaces and the weak Radon-Nikod\'ym property},
journal = {Studia Mathematica},
volume = {209},
year = {2012},
pages = {247-260},
zbl = {1275.46008},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm210-3-5}
}
Keun Young Lee. Dual spaces of compact operator spaces and the weak Radon-Nikodým property. Studia Mathematica, Tome 209 (2012) pp. 247-260. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm210-3-5/