Controlled continuous g-Frames in Hilbert $C^{\ast}$-Modules

TL;DR

This paper introduces and studies Controlled Continuous g-Frames within Hilbert $C^{\

Contribution

It extends the concept of Controlled Continuous g-Frames to Hilbert $C^{\ast}$-Modules, providing foundational properties and theoretical insights.

Findings

Introduces Controlled Continuous g-Frames in Hilbert $C^{\ast}$-Modules

Establishes basic properties of these frames

Extends frame theory to a broader mathematical setting

Abstract

Frame Theory has a great revolution in recent years, this Theory have been extended from Hilbert spaces to Hilbert $C^{\ast}$-modules. The purpose of this paper is the introduction and the study of the concept of Controlled Continuous g-Frames in Hilbert $C^{\ast}$-Modules. Also we give some properties.