%0 Journal Article
%T $G$-dual Frames in Hilbert $C^{*}$-module Spaces
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Ghobadzadeh, Fatemeh
%A Najati, Abbas
%D 2018
%\ 08/01/2018
%V 11
%N 1
%P 65-79
%! $G$-dual Frames in Hilbert $C^{*}$-module Spaces
%K Frame
%K $g$-dual frame
%K Hilbert $C^{*}$-module
%R 10.22130/scma.2018.74231.310
%X 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.
%U https://scma.maragheh.ac.ir/article_32196_3364381d248abfc90aba70ebe0afb964.pdf