# Some generalizations of K-g-frames in Hilbert $C^{\ast}$- module

## TL;DR

This paper explores generalizations of K-g-frames within Hilbert C*-modules, focusing on their properties and related Bessel sequences, expanding the theoretical framework of frame theory in operator algebra contexts.

## Contribution

It introduces new generalizations of K-g-frames in Hilbert C*-modules and establishes foundational results linking g-frames, Bessel sequences, and bounded operators.

## Key findings

- Established properties of g-frames related to operator K
- Connected Bessel g-sequences with K-frames in Hilbert C*-modules
- Extended frame theory to a broader operator algebra setting

## Abstract

In this papers we investigate the g-frame and Bessel g-sequence related to a linear bounded operator $K$ in Hilbert $C^{\ast}$-module and we establish some results.