Operators from a subspace of the James space into its dual
Let \(J\) be the James space. It is shown that every bounded linear operator from a subspace of \(J\) into \(J'\) is weakly compact. In particular, we obtain the results of James and Andrew that \(J\) (respectively, \(J'\)) is not isomorphic to any subspace of \(J'\) (respectively, \(J\)). Similar results hold for the James tree space.
scientific article; zbMATH DE number 1026277