J. Krone et V. Walldorf, COMPLEMENTED SUBSPACES WITH A STRONG FINITE-DIMENSIONAL DECOMPOSITIONOF NUCLEAR KOTHE SPACES HAVE A BASIS, Studia Mathematica, 127(1), 1998, pp. 1-7
The following result is proved: Let E be a complemented subspace with
an r-finite-dimensional decomposition of a nuclear Kothe space lambda(
A). Then E has a basis.