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math.FA2023
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,…
math.FA2023
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…
math.FA2023
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…