7 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…
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,…
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…
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…
Operator frame for
Roumaissae Eljazzar, Mohamed Rossafi, Choonkil Park
The concept of operator frame can be considered as a generalization of frame. Firstly, we introduce the notion of operator frame for the set of all adjointable operators $Hom_{\mat…
Douglas' factorization theorem and atomic system in Hilbert promodule
Mohamed Rossafi, Roumaissae Eljazzar, Ram Mohapatra
In the present paper we introduce the generalized inverse operators which have an interesting role in operator theory. We establish Douglas' factorization theorem type for Hilbert…
-Operator frame for
Roumaissae Eljazzar, Mohamed Rossafi
In this Work, We introduce the concept of -operator frame, which is a generalization of -frames in Hilbert pro--modules, and we establish some results, we als…