3 papers
math.FA2025
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…
math.FA2025
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.…
math.FA2025
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…