# The duals of $\ast$-operator frames for $End_{\mathcal{A}}^{\ast}(H)$

## TL;DR

This paper introduces the concept of duals for $ ext{ extasterisk}$-operator frames within Hilbert $ ext{ extasterisk}$-modules, exploring their properties and establishing foundational results for their application.

## Contribution

It defines dual $ ext{ extasterisk}$-operator frames in Hilbert $ ext{ extasterisk}$-modules and investigates their properties, providing new theoretical insights.

## Key findings

- Established properties of dual $ ext{ extasterisk}$-operator frames.
- Extended frame theory to Hilbert $ ext{ extasterisk}$-modules.
- Provided foundational results for future applications.

## Abstract

Frames play significant role in signal and image processing, which leads to many applications in differents fields. In this paper we define the dual of $\ast$-operator frames and we show their propreties obtained in Hilbert $\mathcal{A}$-modules and we establish some results.