Every \(L_ 1\)-predual is complemented in a simplex space
Assume that all Banach spaces are real. By a simplex S one means a compact Choquet simplex; the corresponding simplex space is defined to be \(A(S)=\{f: S\to R:\) f affine and continuous\} \textit{A. J. Lazar} and \textit{J. Lindenstrauss} [Acta Math. 126, 165-194 (1971; Zbl 0209.432)] proved that for any separable \(L_ 1\)-predual space X there is a separable simplex space A(S)\(\supset X\) and contractive projection \(P: A(S)\to X.\) Lazar and Lindenstrauss posed the problem whether the above result remains true without the assumption of separability. In this interesting paper the author supplies positive answer to this question.
scientific article; zbMATH DE number 4131009