A-B-imprimitivity bimodule frames

Frames in Hilbert bimodules are a special case of frames in HilbertC-modules. The paper considersA-frames and B-frames and their relationship in a Hilbert A-B-imprimitivity bimodule. Also, it is given that every frame in Hilbert spaces or Hilbert C-modules is a semi-tight frame. A relation betweenA-frames and K(HB)-frames is obtained in a Hilbert A-B-imprimitivity bimodule. Moreover, the last part of the paper investigates dual of an A-frame and a B-frame and presents a common property for all duals of a frame in a Hilbert A-B-imprimitivity bimodule.