  We show that on the unit ball of a certain separable Banach space there is a
smooth delbar-closed (0,1)-form which is not locally delbar-exact.
  Further, the Dolbeault isomorphism theorem does not generalize to arbitrary
Banach spaces.
  Lastly, the Newlander-Nirenberg theorem does not generalize to arbitrary
smooth integrable almost complex Banach manifolds.
