N=2 Superintegrable f-Toda Mapping and Super-NLS Hierarchy in the (1|2) Superspace

New integrable N=2 supersymmetric f-Toda mapping in the (1|2) superspace is proposed. It acts like the symmetry transformation of N=2 supersymmetric NLS hierarchy. The first two hamiltonian structures and the recursion operator connecting all evolution systems and hamiltonian structures of N=2 super-NLS hierarchy are constructed in the explicit form by using only the invariance conditions with respect to the f-Toda mapping. New representation for its hamiltonians is observed.