Similar generalized frames

Generalized frames are an extension of frames in Hilbert spaces and Hilbert C-modules. In this paper, the concept\Similar" for modular g-frames is introduced and all of operator duals (ordinary duals) of similar g-frames with respect to each other are characterized. Also, an operator dual of a given g-frame is studied where g-frame is constructed by a primary gframe and an orthogo- nal projection. Moreover, a g-frame is obtained by two the g-frames and its operator duals are investigated. Finally, the dilation of g- frames is studied.