On The Frames In Hilbert $C^{\ast}$-modules

TL;DR

This paper surveys various types of frames in Hilbert $C^{\

Contribution

It provides a comprehensive overview of existing frame concepts in Hilbert $C^{\

Findings

Includes proofs of several results.

Introduces new results in the area.

Provides non-trivial examples.

Abstract

Frame theory has been rapidly generalized and various generalizations have been developed. In this paper, we present a brief survey of the frames in Hilbert $C^{\ast}$-modules, including frames, $\ast$-frames, g-frames, $\ast$-g-frames, $\ast$-$K$-g-frame, operator frame and $\ast$-$K$-operator in Hilbert $C^{\ast}$-modules. Various proofs are given for some results. Also, we prove some new results. Moreover, non-trivial examples are presented.