A basic problem of interest in connection with the study of frames in Banach spaces is that of characterizing those Bessel sequences which can essentially be regarded as dual Banach frames. Dual Banach frames are Bessel sequences that have basis-like properties but which need not be bases. In this paper, we study this problem using the notion of dual and generalized dual for Bessel sequences with respect to a ܭܤ-space. We prove that duals and generalized duals of Banach frames are stable under small perturbations so that the perturbations results obtained in [5] is a special case of it. For generalized dual Banach frames constructed via perturbation theory, we provide a bound on the deviation from perfect reconstruction.
