  We show that a new integrable two-component system of KdV type studied by
Karasu (Kalkanli) et al. (arXiv: nlin.SI/0203036) is bihamiltonian, and its
recursion operator, which has a highly unusual structure of nonlocal terms, can
be written as a ratio of two compatible Hamiltonian operators.
  Using this, we prove that the system in question possesses an infinite
hierarchy of local commuting generalized symmetries and conserved quantities in
involution, and the evolution systems corresponding to these symmetries are
bihamiltonian as well.
  We also show that upon introduction of suitable nonlocal variables the
nonlocal terms of the recursion operator under study can be written in the
usual form, with the integration operator $D^{-1}$ appearing in each term at
most once.
