a-b-imprimitivity bimodule frames

Frames in hilbert bimodules are a special case of frames in hilbert c*-modules. the paper considers a-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.