%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 https://scma.maragheh.ac.ir/article_35726_cc21d1f5aa898076fe219206175ae0ca.pdf