The principle of local reflexivity and an extension of the identity $\mathcal{B}(E,X^{\ast \ast })\cong \mathcal{B}(E,X{)}^{\ast \ast }$

Ramin Faal, Hamid Reza Ebrahimi Vishki

By using the Principle of Local Reflexivity (PLR), we prove that for every two Banach spaces $E$ and $X$ there exists a suitable ultrafilter $\mathcal{U}$ such that $ \mathcal{F}(E…