On Sum and Stability of Continuous G-Frames

In this paper, we give some conditions under which the finite sum of continuous g-frames is again a continuous g-frame. We give necessary and sufficient conditions for the continuous g-frames Lambda=left {Lambda_w in Bleft (H,K_wright): win Omegaright} and Gamma=left {Gamma_w in Bleft (H,K_wright): win Omegaright} and operators U and V on H such that Lambda U+Gamma V= {Lambda_w U+Gamma_w V in Bleft (H,K_wright): win Omega} is again a continuous g-frame. Moreover, we obtain some sufficient conditions under which the finite sum of continuous g-frames are stable under small perturbations.the formula is not displayed correctly!