%0 Journal Article
%T Approximate Duals of $g$-frames and Fusion Frames in Hilbert $C^ast-$modules
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Mirzaee Azandaryani, Morteza
%D 2019
%\ 07/01/2019
%V 15
%N 1
%P 135-146
%! Approximate Duals of $g$-frames and Fusion Frames in Hilbert $C^ast-$modules
%K Frame
%K $g$-frame
%K Fusion frame
%K Biorthogonal sequence
%K Approximate duality
%R 10.22130/scma.2018.81624.396
%X In this paper, we study approximate duals of $g$-frames and fusion frames in Hilbert $C^ast-$modules. We get some relations between approximate duals of $g$-frames and biorthogonal Bessel sequences, and using these relations, some results for approximate duals of modular Riesz bases and fusion frames are obtained. Moreover, we generalize the concept of $Q-$approximate duality of $g$-frames and fusion frames to Hilbert $C^ast-$modules, where $Q$ is an adjointable operator, and obtain some properties of this kind of approximate duals.
%U http://scma.maragheh.ac.ir/article_35726_cc21d1f5aa898076fe219206175ae0ca.pdf