Frames and bases of subspaces in Hilbert spaces

By M. Asgari, Amir Khosravi. 2005

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Fusion frames and distributed processing (2006, unknown): “Some further results on the theory from [11] can be found in [3], and an extension was derived by Sun [27, 28], however without any possibility of equipping the subspaces with an underlying structure.”
Fusion frames and g-frames (2008, background): “8 in [1] leads us to the following result.”
Characterizations of g-frames and g-Riesz bases in Hilbert spaces (2008, background): “A frame of subspaces (Casazza and Kutyniok [11] and Asgari and Khosravi [12]) or a system of bounded quasi-projectors (Fornasier [13]) is a g-frame in a complex Hilbert space.”
G-frames and G-Riesz Bases (2005, background): “For example, bounded quasi-projectors [12, 13], frames of subspaces[2, 3], pseudo-frames[17], oblique frames[5, 10], and outer frames[1].”
G-FRAMES AND STABILITY OF G-FRAMES IN HILBERT SPACES (2008, background): “Asgari and Khosravi in [1] have extended this result for frame of subspaces and the following theorem is its extension to g-frames.”