Equivalency relations between continuous g-frames and stability of alternate duals of continuous g-frames in Hilbert C-modules

We introduce the modular continuous g-riesz basis to improve one existing result for continuous g-riesz basis in hilbert c -modules,and then we study the equivalency relations between continuous g-frames in hilbert c -modules,and,in particular,we obtain two necessary and sufficient conditions under which two continuous g-frames are similar. finally,we generalize a stability result for alternate duals of g-frames in hilbert spaces to alternate duals of continuous g-frames in hilbert c -modules. © 2013 zhong-qi xiang.