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 λ = {λw ∈ b (h, kw) : w ∈ ω} and γ = {γw ∈ b (h, kw) : w ∈ ω} and operators u and v on h such that λu +γv = {λwu +γwv ∈ b (h, kw) : w ∈ ω} 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.