  Difficulty in the construction of dual frames for a given Hilbert space led
to the introduction of approximately dual frames in Hilbert spaces by
Christensen and Laugesen. It becomes even more difficult in Banach spaces to
construct duals. For this purpose, we introduce approximately dual frames for a
class of approximate Schauder frames for Banach spaces and develop basic
theory. Approximate duals for this subclass is completely characterized and its
perturbation is also studied.
