Construction of continuous K-g-Frames in Hilbert C∗C^{\ast}-Modules

In this work, we provide some constructions and the sum of new continuous K-g-frames in Hilbert$C^{\ast}$-Modules. We provide certain necessary and sufficient conditions for some adjointable operators on $\mathcal{H}$, under which new continuous K-g-frames can be retrieved from those that already exist. Additionally, we discuss the sum of continuous K-g-frames, discover some of their characterizations, and offer some adjointable operators to construct new continuous K-g-frames from the previous ones

Some properties of K-Operator Frame in Hilbert C∗C^{\ast}-modules

In this paper, we present some properties of K-operator Frame in Hilbert $C^{\ast}$-modules.Topics that will be discussed include: K-operator Frame and Dual K-operator frame in Hilbert $C^{\ast}$-modules.We will also study K-operator Frame in two Hilbert $C^{\ast}$-modules with different $C^{\ast}$-algebras