Representing non-weakly compact operators

Manuel Gonzalez, Eero Saksman, H. Tylli

For each $S\in L(E)$ (with $E$ a Banach space) the operator $R(S)\in L(E^{\ast \ast }/E)$ is defined by $R(S)(x^{\ast \ast }+E)=S^{\ast \ast }{x}^{\ast \ast }+E$ \quad ($x^{\ast \ast }\in E^{\ast \ast }$). We study mapping pro…