Robustness and Iterative Reconstruction of $g$-Fusion Frames in Hilbert Spaces

Abstract:

      Regarding the application of the fusion frames and generalization of them in data proceeding, their iterative is of particular importance when one of their members is deleted. In this note, a method for reconstruction of generalized fusion frames and error operator with its upper bound are presented. Also, the approximation operator for these frames will be introduced and we study some results about them.