11 papers
--frames in Hilbert module over locally--algebras
Roumaissae Eljazzar, Mohammed Mouniane, Mohamed Rossafi
This paper explores the concept of --frames in locally -algebras, which are shown to be more general than -frames. The authors first introduce the notion of a -ort…
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…
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…
Continuous biframes in Hilbert Spaces
Hafida Massit, Roumaissae Eljazzar, Mohamed Rossafi
In this paper, we present the concept of continuous biframes in a Hilbert space. We examine the essential properties of biframes with an emphasis on the biframe operator. Moreover,…
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…
Exploring K-Riesz and K-g-Riesz bases in the context of Hilbert pro-C*-modules
Roumaissae Eljazzar, Mohamed Rossafi
In the present research, we embark on a comprehensive inquiry into K-Riesz bases and K-g Riesz bases as they manifest within pro-C*-Hilbert modules. Adopting a unique approach, we…