Characterizations of weaving for g-frames by induced sequences

In this paper we use two kinds of induced sequences of two g-frames { Λ j : j ∈ J } and { Γ j : j ∈ J } on U to characterize when { Λ j : j ∈ J } and { Γ j : j ∈ J } are woven on U , and vice versa. Meanwhile, we present an example to show that a result obtained by Deepshikha et al. on an equivalent characterization of two K -g-frames being woven on U is incorrect.