Controlled g-frames and their dual in Hilbert $C^{\ast}-$modules

Abstract

In this paper we give some new results for controlled g-frames and controlled dual g-frames in Hilbert $C^*$-modules. First, we talk about controlled g-frame characterisation and find certain conditions that are equal to them.Then, we explain the purpose controlled dual g-frames and controlled dual g-frames operator and discuss some of their characteristics.