Some results on best coapproximation in \(L^1(S,X)\) (Q931036)

Let \(M\) be a coproximinal subspace and \(\prod_{f}\) be weakly measurable for any \(f \in L^{1}(S,X)\). The authors show that if \(M\) is separable, then \(L^{1}(S,M)\) is coproximinal in \(L^{1}(S,X)\).