5 papers · 1 filter
Continuous biframes in Hilbert modules
Abdellatif Lfounoune, Abdelilah Karara, Mohamed Rossafi
In this paper, we will introduce the concept of a continuous biframe for Hilbert modules. Then, we examine some characterizations of this biframe with the help of an i…
Sum of frames in Hilbert modules
Abdellatif Lfounoune, Hafida Massit, Abdelilah Karara +1
In this article, we study g-frames in Hilbert -modules and investigate conditions under which the sum of two g-frames (or a g-frame and a g-Bessel sequence) remains a g-frame.…
Biframes in Hilbert modules
Mohamed Rossafi, Abdelilah Karara, Roumaissae El jazzar
In this paper, we will introduce the concept of biframes for Hilbert modules produced by a pair of sequences, and we present various examples of biframes. Then, we exa…
Modular Biframes for Operators
Salah Eddine Oustani, Mohamed Rossafi
One of the most important problems in the studying of frames and its extensions is the invariance of these systems under perturbation. The current paper is concerned with the invar…
Continuous bi-g-frames for operators in Hilbert spaces
Abdelilah Karara, Mohamed Rossafi
In this paper, we will introduce the new concepts of continuous bi-g-frames and continuous K-bi-g-frame for Hilbert spaces. Then, we examine some characterizations properties with…