weaving k-frames in hilbert c*-modules

In 2016, bemrose et al. introduced the weaving frames in a hilbert space which is influenced by a problem in distributed signal processing. ghobadzadeh et al. proposed the idea of woven frames in hilbert c ∗ -modules in 2018. the authors studied and investigated numerous elementary properties of weaving frames in hilbert c ∗ -modules. as k-frames and standard frames deviate in several perspectives, we acquaint the notion of weaving k-frames and an atomic system for weaving k-frames in hilbert c ∗ -modules. inside this script, we explore weaving k-frames from an operator theoretic point of view. we provide an identical interpretation for weaving k-frames and characterize weaving k-frames in terms of bounded linear operators. we also inspect the invariance of woven bessel sequences under an adjointable operator.