EN
We deal with the weak Radon-Nikodým property in connection with the dual space of 𝒦(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 𝒦(X,Y) and $𝒦_{w*w}(X*,Y)$, the space of weak*-weakly continuous operators.