On smooth \(\text{rank}\)-1 mappings of Banach spaces onto the plane
For any separable infinite-dimensional Banach space \(E\) we construct a surjective \(C^ \infty\) mapping \(f: E\to\mathbb{R}^ 2\) satisfying \(\text{rank }Df(v)\leq 1\) for all \(v\in E\).
scientific article; zbMATH DE number 444970