Title of article :
On the frames in Hilbert C∗-modules
Author/Authors :
Rossafi ، M. LaSMA Laboratory, Department of Mathematics - Faculty of Sciences Dhar El Mahraz - Sidi Mohamed Ben Abdellah University , Ghiati ، M. Laboratory of Analysis, Geometry andApplications (LAGA) , Department of Mathematics - Ibn Tofail University , Mouniane ، M. Laboratory of Analysis, Geometry andApplications (LAGA), Department of Mathematics - Ibn Tofail University
Abstract :
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 includ-ing frames, ∗-frames, g-frames, ∗-g-frames, ∗-K-g-frame, operator frame and ∗-K-operator frame in Hilbert C∗-modules. Various proofs are given for some results. We will also provide some new results. Moreover, non-trivial examples are presented.
Keywords :
Frame , ∗ , frame , g , frame , ∗ , g , frame , ∗ , K , g , frame , Hilbert C∗ , modules.
Journal title :
Journal of Linear and Topological Algebra
Journal title :
Journal of Linear and Topological Algebra
