M. Rossafi

Department of Mathematics, University of Ibn Tofail, B.P. 133, Kenitra, Morocco

[ 1 ] - $ast$-K-g-Frames in Hilbert $mathcal{A}$-modules

In this paper, we introduce the concepts of $ast$-K-g-Frames in Hilbert $mathcal{A}$-modules and we establish some results.

[ 2 ] - Operator frame for $End_{mathcal{A}}^{ast}(mathcal{H})$

‎Frames generalize orthonormal bases and allow representation of all the elements of the space‎. ‎Frames play significant role in signal and image processing‎, ‎which leads to many applications in informatics‎, ‎engineering‎, ‎medicine‎, ‎and probability‎. ‎In this paper‎, ‎we introduce the concepts of operator frame for the space $End_{mathcal{A}}^{ast}(mathcal{H})$ of all adjointable operator...

[ 3 ] - *-Operator Frame for End_{mathcal{A}}^{ast}(mathcal{H})

In this paper, a new notion of frames is introduced: $ast$-operator frame as generalization of $ast$-frames in Hilbert $C^{ast}$-modules introduced by A. Alijani and M. A. Dehghan cite{Ali} and we establish some results.

[ 4 ] - Generalized Frames for B(H, K)

Frames play significant role in various areas of science and engineering. Motivated by the work of Chander Shekhar, S. K. Kaushik and Abas Askarizadeh, Mohammad Ali Dehghan, we introduce the concepts of $K$-frames for $B(mathcal{H, K})$ and  we establish some result. Also, we consider the relationships between $K$-Frames and $K$-Operator Frames for $B(mathcal{H})$.

Co-Authors

S. Kabbaj 4