LAUSR

ABSTRACT: In this study, we mainly discuss the weaving of K-g-frames in Hilbert spaces. Note that the concept of weaving was recently proposed by Bemrose et al to solve a question in distributed signal processing. We give a sufficient condition such that the left sequence can still be K-woven in R(K) by deleting some elements from a K-woven pair of K-g-frames. We then give three different types of perturbation conditions such that, under them, the K-g-frames {Λ j : j ∈ J} and {Γ j : j ∈ J} or the types {Λ j T ∗ 1 : j ∈ J} and {Γ j T ∗ 2 : j ∈ J} can be K-woven in R(K), where T1, T2 are surjective operators on U .