10 papers
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…
Continuous K-biframes in Hilbert spaces
Abdelilah Karara, Mohamed Rossafi
In this paper, we will introduce the concept of a continuous K-biframe for Hilbert spaces and we present various examples of continuous K-biframes. Furthermore, we investigate thei…
K-bi-g-frames in Hilbert spaces
Abdelilah Karara, Mohamed Rossafi
In this paper, we will introduce the new concept of K-bi-g-frames for Hilbert spaces. Then, we examine some characterizations with the help of a biframe operator. Finally, we inves…
K-biframes in Hilbert spaces
Abdelilah Karara, Mohamed Rossafi
In this paper, we introduce a new concept of K-biframes for Hilbert spaces. We then examine several characterizations with the assistance of a biframe operator. Moreover, we invest…
Construction of continuous K-g-Frames in Hilbert -Modules
Abdelilah Karara, Mohamed Rossafi, Mohammed Klilou +1
In this work, we provide some constructions and the sum of new continuous K-g-frames in Hilbert-Modules. We provide certain necessary and sufficient conditions for some a…
Bessel sequences in Hilbert -modules
Abdelilah Karara, Khadija Mabrouk
In this peaper we stady certain Bessel sequences in Hilbert C*- modules for which operator defined by \ref{eq2} is of the form…
Representations of -fusion frames in Hilbert -Modules
Abdelilah Karara, Roumaissae Eljazzar, Hassan Sfouli
In this paper, we provide some generalization of the concept of fusion frames following that evaluate their representability via a linear operator in Hilbert -module. We assume…
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…
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.…
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…