Controlled continuous $$*$$ -g-frames in Hilbert $$C^{*}$$ -modules

Abstract

The frame theory is a dynamic and exciting field with various applications in pure and applied mathematics. In this paper, we introduce and study the concept of controlled continuous \(*\)-g-frames in Hilbert \(C^{*}\)-modules, which is a generalization of discrete controlled \(*\)-g-frames in Hilbert \(C^{*}\)-modules. Additionally, we present some properties.