Constructing approximate dual frames is much easier than constructing classical dual frames, and approximate dual frames derive an almost same perfect reconstruction formula as classical dual frames. In this paper, under the background of subspace frames ( fusion frames ) , an explicit characterization of approximate dual g-frames was obtained. As an application, we prove that for a given pair of approximate dual g-frames ({Λn}n ,{Γn}n ) , there existed another pair of approximate dual g-frames ({Ψn}n,{Yn}n) such that TΛUΓ=TΨUY, where TY and UY denote the pre-frame and analysis operators of the g-frame {Yn}n .%近似对偶框架的构造比经典对偶框架的构造更为容易,而且可以导出几乎同样完美的重构公式,在子空间框架(fusion框架)的背景下,给出了近似对偶g-框架的明确刻画.作为应用,证明了对于给定的一组近似对偶g-框架({Λn}n,{Γn}n),存在另一组近似对偶框架({Ψn}n,{Yn}n),使得TΛUΓ=TΨUY,其中TY和UY分别表示g-框架{Yn}n的准框架算子与分析算子.
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