Fusion frames and g-frames

Fusion frames and g-frames were considered recently as generalizations of frames in Hilbert spaces, in this paper we generalize some of the known results in frame theory to fusion frames and g-frames. We obtain new g-frames by considering g-frames for its components. We also obtain some results about alternate dual g-frames, excess of g-frames and stability of g-frames under small perturbations. © 2008 Elsevier Inc. All rights reserved