@article { author = {Ghobadzadeh, Fatemeh and Najati, Abbas}, title = {$G$-dual Frames in Hilbert $C^{*}$-module Spaces}, journal = {Sahand Communications in Mathematical Analysis}, volume = {11}, number = {1}, pages = {65-79}, year = {2018}, publisher = {University of Maragheh}, issn = {2322-5807}, eissn = {2423-3900}, doi = {10.22130/scma.2018.74231.310}, abstract = {In this paper, we introduce the concept of $g$-dual frames for Hilbert $C^{*}$-modules, and then the properties and stability results of $g$-dual frames  are given.  A characterization of $g$-dual frames, approximately dual frames and dual frames of a given frame is established. We also give some examples to show that the characterization of $g$-dual frames for Riesz bases in Hilbert spaces is not satisfied in general Hilbert $C^*$-modules.}, keywords = {Frame,$g$-dual frame,Hilbert $C^{*}$-module}, url = {https://scma.maragheh.ac.ir/article_32196.html}, eprint = {https://scma.maragheh.ac.ir/article_32196_3364381d248abfc90aba70ebe0afb964.pdf} }