Continuous $\ast$-g-Frame in Hilbert $C^{\ast}$-Modules

TL;DR

This paper introduces the concept of Continuous *-g-Frames in Hilbert C*-Modules, establishing foundational results and exploring their stability properties in this mathematical framework.

Contribution

It is the first to define and analyze Continuous *-g-Frames in Hilbert C*-Modules, expanding the theoretical understanding of frame theory in operator algebra contexts.

Findings

Established the definition of Continuous *-g-Frames in Hilbert C*-Modules

Proved key properties and theorems related to these frames

Discussed the stability conditions for Continuous *-g-Frames

Abstract

In this paper, we introduce the concept of Continuous $\ast$-g-Frame in Hilbert $C^{\ast}$-Modules and we establish some results. We also discuss the stability problem for Continuous $\ast$-g-Frame.