Similar generalized frames

Generalized frames are an extension of frames in Hilbert spaces and Hilbert C -modules. In this paper, the conceptSimilar for modular g-frames is introduced and all of operator duals (or-dinary 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 g-frame and an orthogonal projection. Moreover, a g-frame is obtained by two the g-frames and its operator duals are investigated. Finally, the dilation of gframes is studied.

Keywords:

Dual frame , Similar g-frames , Frame operator , g-frame , Operator dual frame