Counterexample to a conjecture of Mujica (Q2767718)

\textit{J. Mujica} [Trans. Am. Math. Soc. 324, 867-887 (1991; Zbl 0747.46038)] has shown that for each open set \(U\) in any complex Banach space \(E\) there exists a Banach space \(G^\infty(U)\) and a bounded holomorphic map \(\delta_U: U\to G^\infty (U)\) such that every bounded holomorphic function \(f:U \to F\) with values in any Banach space \(F\) factors as \(f=T_f \circ\Delta_U\) with a unique continuous linear map \(T_f:G^\infty(U)\to F\). The author gives an example of a weakly sequentially complete Banach space \(E\) for which \(G^\infty (U)\) is not weakly sequentially complete for the open unit ball \(U\) of \(E\).