Some properties of g-frames in Hilbert -modules

In this paper we give some new results for g-frames in Hilbert C ∗ -modules and then we introduce a bounded A-linear operator L, by means of this operator L we character the properties of the g-frames and g-Riesz basis in Hilbert C ∗ -modules. Finally, we establish some important equalities and inequalities for frames and g-frames in Hilbert C ∗ -modules.