E. Casini, E. Miglierina, L. Piasecki, and L. Veselý have recently constructed an example of an
L
1
L_{1}
-predual hyperplane
W
W
of
c
c
which does not contain a subspace isometric to
c
c
, in spite of the fact that the closed unit ball of
W
W
contains an extreme point. This example shows that Remark A of Section 4 of [Proc. Amer. Math. Soc. 23 (1969), pp. 378-385], titled as above, is false. The purpose of this note is to present two correct versions of that Remark A and a short proof of our 1969 main result.