Continuous Biframes in Hilbert C∗-Modules

In this paper, we will introduce the concept of a continuous biframe for Hilbert C∗−modules. Then, we examine some characterizations of this biframe with the help of an invertible and adjointable operator is given. Moreover, we study continuous biframe Bessel multiplier and dual continuous biframe in Hilbert C∗−modules. Also, we develop the concept of continuous biframes in the tensor product of two Hilbert C∗-modules over a unital C∗-algebra A and provide some properties of invertible transformed biframes and Bessel multipliers in the tensor product.

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Publication Details

Journal
International Journal of Analysis and Applications
Published
2025-05-08
DOI
https://doi.org/10.28924/2291-8639-23-2025-104
Primary Topic
Rings, Modules, and Algebras
Type
article
Field-Weighted Citation Impact
0.00
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article

Continuous Biframes in Hilbert C∗-Modules

Mohamed Rossafi, Abdelilah Karara, Abdellatif Lfounoune
International Journal of Analysis and Applications
Rings, Modules, and Algebras
article

Continuous Biframes in Hilbert C∗-Modules

Mohamed Rossafi, Abdelilah Karara, Abdellatif Lfounoune
article en

Abstract

In this paper, we will introduce the concept of a continuous biframe for Hilbert C∗−modules. Then, we examine some characterizations of this biframe with the help of an invertible and adjointable operator is given. Moreover, we study continuous biframe Bessel multiplier and dual continuous biframe in Hilbert C∗−modules. Also, we develop the concept of continuous biframes in the tensor product of two Hilbert C∗-modules over a unital C∗-algebra A and provide some properties of invertible transformed biframes and Bessel multipliers in the tensor product.

International Journal of Analysis and ApplicationsVol. 23
Openalex Percentile: Top 85%
Rings, Modules, and Algebras
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Continuous Biframes in Hilbert C∗-Modules — Mohamed Rossafi, Abdelilah Karara, et al. · International Journal of Analysis and Applications (2025) | TGRS Research Map | TGRS