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

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*-modules, including frames, *-frames, g-frames, *-g-frames, *-K-g-frame, operator frame, and *-K-operator in Hilbert C*-modules. Various proofs are given for some results. We will also provide some new results. Moreover, non-trivial examples are presented. Mathematics Subject Classification (2010). Primary: 42C15; Secondary: 47A05.