  This paper studies Schauder frames in Banach spaces, a concept which is a
natural generalization of frames in Hilbert spaces and Schauder bases in Banach
spaces. The associated minimal and maximal spaces are introduced, as are
shrinking and boundedly complete Schauder frames. Our main results extend the
classical duality theorems on bases to the situation of Schauder frames. In
particular, we will generalize James' results on shrinking and boundedly
complete bases to frames. Secondly we will extend his characterization of the
reflexivity of spaces with unconditional bases to spaces with unconditional
frames.
