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