Isomorphisms in Subspaces of c0

A Banach space X is said to be subspace homogeneous if for every two isomorphic closed subspaces Y and Z of X, both of infinite codimension, there is an automorphism of X (i.e. a bounded linear bijection of X) which carries Y onto Z. In [1] Lindenstrauss and Rosenthal showed that c0 is subspace homogeneous, a property also shared by l 2, and conjectured that c0 and l 2 are the only subspace homogeneous Banach spaces. In that paper no mention was made of subspaces of c0 .