Abstract
W. Sun in his paper [W. Sun, G-frames and g-Riesz bases. J. Math. Anal. Appl 322 (2006),437-452] has introduced g-frames which are generalized frames and cover many recent generalizations of frames such as bounded quasiprojections, fusion frames and pseudo-frames. We give a necessary and sufficient condition for a g-frame to be a dual to a given g-frame and obtain some sufficient conditions under which sequences are stable under small perturbations.
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