Several properties of the normed Hom-functor (dual) $D$ and its iterations $D^{n}$ are exhibited. For instance, $D$ turns every canonical embedding (into the second dual space) to a retraction (of the third dual onto the first one) having for the right inverse the appropriate canonical embedding (of the first dual space into the third one). Some consequences to the direct-sum presentations and quotients of higher dual spaces are considered.
| On the iterated normed duals | 595.3KB |