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Dual spaces of compact operator spaces and the weak Radon-Nikodým property

Keun Young Lee — 2012

Studia Mathematica

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 w * w ( X * , Y ) , the space of weak*-weakly continuous operators.

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