Near continuous g-frames for Hilbert C∗-modules

Let u be a hilbert a-module and l(u) the set of all adjointable a-linear maps on u. let k = {λx ∈ l(u, vx) : x ∈ x } and l = {γx ∈ l(u, vx) : x ∈ x } be two continuous g-frames for u, k is said to be similar with l if there exists an invertible operator j ∈ l(u) such that γx = λxj, for all x ∈ x . in this paper, we define the concepts of closeness and nearness between two continuous g-frames. in particular, we show that k and l are near, if and only if they are similar.